WorldWideScience
 
 
1

Analysis of heat and mass transfer  

The contents of this book are: Theory of Heat Conduction and Heat-conduction Equations; Thermal Conductivity; Steady Heat Conduction; Unsteady Heat Conduction; Forced Convection in Laminar Flow; Forced Convection in Turbulent Flow; Dimensional Analysis; Forced Convection in Separated Flow; Natural Convection; Radiation of Strongly Absorbing Media; and Radiation of Weakly Absorbing Media.

2

Analysis of bouyancy-aided convection heat transfer from horizontal cylinder at low Reynolds number  

In this paper, a numerical study of buoyancy-aided steady convection heat transfer from a horizontal cylinder placed in free stream is presented. Solutions for cases with Re=10, 20, 40 and Ri=0, 0.1, 0.25, 0.5, 1.0 were obtained using finite difference scheme. The results shows that the buoyancy force assists the forced convection flow by delaying the flow separation thus improves the convective heat transfer compared to corresponding pure forced convection. Such assisted flow significantly improves the heat transfer characteristics from the heated cylinder.

3

Thermal hydraulic analysis of LMFBR decay heat removal system. Conbined convection heat transfer  

Conbined convection heat transfer rate in liquid metal, which is essential for decay heat removal in LMFBR, is clarified by numerical analysis. Numerical calculation revealed that conbined convection heat transfer rate surpassed forced convection one, and the enhancement value is larger with Grashof number. Heat transfer rate on a tube bundle, which consists of three heat transfer tubes, depends on Grashof number more than Reynolds number in LMFBR conditions. (author).

4

Aiding and opposing mechanisms of mixed convection in a shear- and buoyancy-driven cavity  

Combined forced and natural (mixed) convection in which neither the forced nor the natural convection effects are dominant and both modes are in a comparable level arise in many natural and technological processes. The present study was conducted to numerically investigate the transport mechanism of laminar combined convection in a shear- and buoyancy-driven cavity. The focus was on the interaction of the forced convection induced by the moving wall with the natural convection induced by the buoyancy. Two orientations of thermal boundary conditions at the cavity walls are considered in order to simulate the aiding and opposing buoyancy mechanisms. Velocity and temperature distributions of the flow are carried out through a stream function-vorticity transformation with a finite difference scheme. Parametric studies of the effect of the mixed convection parameter, GR/RE{sup 2}, on the fluid flow and heat transfer have been performed. Calculations cover Re=100, Pr=0.71 and Gr/Re{sup 2} the range of 0.01--100. Three different regimes are observed with increasing Fr/Re{sup 2}. Forced convection (with negligible natural convection), mixed convection (comparable forced and natural convection) and natural convection (with negligible forced convection). The code developed was carefully tested for the two limiting cases, the pure forced convection and the pure natural convection, for which experimental and numerical data are available.

5

Gravity Scaling of a Power Reactor Water Shield  

Natural convection in a 100 kWt lunar surface reactor shield design has been previously .... As heat conducts normal to the wall the thermal layer thickens and buoyant forces carry .... wall friction and shear forces from counter-flowing vapor.

6

Mixed Convection Heat Transfer Experiments in Smooth and Rough Verticla Tubes  

The mixed convection regime is a transitional heat transfer regime between forced convection and natural convection, where both the forced component of flow, and the buoyancy induced component are important. Aiding flow is when buoyancy forces act in the same direction as the forced flow (heated upflow or cooled downflow), while opposing flow is when the buoyancy force is in the opposite direction of the forced flow (cooled upflow or heated downflow). For opposing flow the buoyancy always increases the rate of heat transfer over the forced convection value. For aiding flow, as the heat flux increased, a reduction in heat transfer is encountered until a condition known as laminarization occurs, where the heat transfer is at a minimum value. Further increases in the wall heat flux causes re-transition to turbulence, and increased heat transfer. In this paper, for the first time, experiments were performed to characterize the effect of surface roughness on heat transfer in mixed convection, for the case of aiding flow. A correlation was developed to allow calculation of mixed convection heat transfer coefficients for rough or smooth tubes.

7

Heat transfer from a cylinder in a porous medium subjected to axial flows. Howa takoshitsusonai ni okareta enchu ga jikuhoko nagare wo ukeru baai no netsudentatsu tokusei  

Experimental discussions were given on effects of curvature on heat transfer when a forced and a natural convection exists in an axial direction of a cylinder placed in a porous medium. The experiment used glass beads saturated with water, with a heated cylinder installed horizontally in the case of the forced convection to measure thermal conductivity from the cylinder. In the case of the natural convection, the heated cylinder was installed vertically, and the measurement was carried out with the water circulation stopped. The result showed that the thermal conductivity is larger than that with a flat plate, and that the parameters showing the curvature effect can be arranged as increase functions of the forced convection heat transfer and the natural convection heat transfer. The result of the experiment on the forced convection agreed well with predictions according to theoretical expressions that had been proposed previously. In the case of the natural convection, the result showed a good agreement with theoretical values as a result of analogy solution up to a natural convection heat transfer = 10. With the natural convection heat transfer >10, a thermal conductivity was obtained that is larger by about 20% to 40% than the value with the result of the analogy solution extrapolated. 11 refs., 4 figs.

8

Post-scram Liquid Metal cooled Fast Breeder Reactor (LMFBR) neat transport system dynamics and steam generator control  

Loop type LMFBR heat transport system dynamics after reactor shutdown and during subsequent decay heat removal are considered with emphasis on steam generator dynamics including the development and evaluation of various post-scram steam generator control systems, and natural circulation of the sodium coolant, including the influence of superimposed free convection on forced convection heat transfer and pressure drop. The normal operating and decay heat removal functions of the overall heat transport system are described.

9

Double Diffusive Natural Convection in a Nuclear Waste Repository  

In this study, we conduct a two-dimensional numerical analysis of double diffusive natural convection in an emplacement drift for a nuclear waste repository. In-drift heat and moisture transport is driven by combined thermal- and compositional-induced buoyancy forces. Numerical results demonstrate buoyancy-driven convective flow patterns and configurations during both repository heat-up and cool-down phases. It is also shown that boundary conditions, particularly on the drip-shield surface, have strong impacts on the in-drift convective flow and transport.

10

Double Diffusive Natural Convection in a Nuclear Waste Repository  

In this study, we conduct a two dimensional numerical analysis of double diffusive natural convection in an emplacement drift for a nuclear waste repository. In-drift heat and moisture transport is driven by combined thermal- and compositional-induced buoyancy forces. Numerical results demonstrate buoyancy-driven convective flow patterns and configurations during both repository heat-up and cool-down phases. It is also shown that boundary conditions, particularly on the drip-shield surface, have a strong impact on in-drift convective flow and transport.

11

Convective heat transfer coefficient of crops in forced convection drying - an experimental study  

In this paper, a simulation study has been conducted for determination of the convective heat transfer coefficients of six crops, namely, green chillies, green peas, white gram, onion, potato and cauliflower under forced convection drying. Data obtained from experimentation under open and closed simulated conditions have been used to determine values of the coefficients C and n and, consequently, convective heat transfer coefficient. The data have also been analysed in terms of per cent uncertainty. (Author)

12

Double Diffusive Natural Convection in a Nuclear Waste Repository  

In this study, we conduct a two-dimensional numerical analysis of double diffusive natural convection in an emplacement drift for a nuclear waste repository. In-drift heat and moisture transport is driven by combined thermal- and compositional-induced buoyancy forces. Numerical results demonstrate buoyancy-driven convective flow patterns and configurations during both repository heat-up and cool-down phases. It is also shown that boundary conditions, particularly on the drip-shield surface, have strong impacts on the in-drift convective flow and transport.

13

Some basic aspects of condensation heat transfer  

The paper gives a brief description of some of the better understood aspects of condensation heat transfer and includes discussion of the liquid-vapour interface, natural and forced convection laminar film condensation and dropwise condensation. (author)

14

Condensation heat transfer  

The paper gives a brief description of some of the better understood aspects of condensation heat transfer and includes discussion of the liquid-vapour interface, natural and forced convection laminar film condensation and dropwise condensation. (orig.)

15

Recent advances in heat transfer to helium 1  

Conditions of thermal exchange in helium 1 are reviewed. Pool boiling thermosiphon boiling, forced convection heat transfer. Relations between critical nucleate flux and some parameters are given. Use of hypercritical helium.

16

Sterilization by gas ovens  

A forced convection gas-fired oven has been designed which will sterilize a very heavy load of syringes and instruments and containers. It is superior to a gas-fired, infrared, radiant-heated oven which was designed for sterilizing syringes.

17

Transient heat transfer for forced convection flow of helium gas  

The knowledge of forced convection transient heat transfer at various periods of exponential increase of heat input to a heater as a database for understanding the transient heat transfer process in a high temperature gas cooled reactor (HTGR) due to an accident in excess reactivity. The transient heat transfer coefficients for forced convection flow of helium gas over a horizontal cylinder were measured using a forced convection test loop. The platinum heater with a diameter of 1.0 mm was heated by electric current with an exponential increase of Q{sub 0} exp(t/ ). It was clarified that the heat transfer coefficient approaches the steady-state one for the period over 1 s, and it becomes higher for the period of shorter than 1 s. The transient heat transfer shows less dependent on the gas flowing velocity when the period becomes very shorter. Semi-empirical correlations for steady state and transient heat transfer were developed based on the experimental data. (authors)

18

Transient Heat Transfer for Forced Convection Flow of Helium Gas  

The knowledge of forced convection transient heat transfer at various periods of exponential increase of heat input to a heater is important as a database for understanding the transient heat transfer process in a high temperature gas cooled reactor (HTGR) due to an accident in excess reactivity. The transient heat transfer coefficients for forced convection flow of helium gas over a horizontal cylinder were measured using a forced convection test loop. The platinum heater with a diameter of 1.0mm was heated by electric current with an exponential increase of Q0exp(t/?). It was clarified that the heat transfer coefficient approaches the quasi-steady-state one for the period ? over 1 s, and it becomes higher for the period of ? shorter than 1s. The transient heat transfer shows less dependent on the gas flowing velocity when the period becomes very shorter. Semi-empirical correlations for quasi-steady-state and transient heat transfer were developed based on the experimental data.   

19

Combined convective heat transfer of liquid sodium flowing across tube banks  

In order to clarify the heat transfer characteristics of combined convection of liquid sodium, a numerical analysis is performed for liquid sodium which flows through a single horizontal row of tubes in the direction of gravity. The correlation of heat transfer characteristics between liquid sodium and ordinary fluids is also discussed. The heat transfer characteristics at large Reynolds numbers are improved when the Richardson number is increased, and the improvement rate is enlarged with increase in p/d value, since convection effect is relatively large. However heat transfer coefficients do not differ from those of forced convection at small Reynolds numbers even when the Richardson number reaches a high value because of conduction effect. A good consistence of heat transfer characteristics of combined convection between liquid sodium and air is obtained at the same Peclet number and Richardson number. This means that the fundamental heat transfer characteristics of combined convection of liquid sodium can be investigated with ordinary fluids. (author).

20

A numerical study of entry region laminar mixed convection over shrouded vertical fin arrays  

A computational study of laminar mixed convection over a shrouded vertical rectangular fin array attached to a vertical base has been performed. Maintaining the base-fin system above the surrounding temperature, a fan velocity is imposed to enhance the heat transfer through the mixed convection process. Present study finds the effects of clearance spacing, fin spacing, fin length, Reynolds number and Grashof number on the thermal performance of the base-fin system. Mixed convection inlet velocity is decoupled to forced and natural convection velocity components and the resulting pressure drop across the duct length arises purely due to the forced convection velocity component. Thus, Reynolds number is estimated based on forced convection velocity component as the inlet velocity does not va...

 
 
 
 
21

Natural convection on a vertical stretching cylinder  

The flow and natural (or mixed) convection due to a vertical stretching cylinder is studied. Using similarity transforms, the Navier-Stokes and energy equations reduce to a set of nonlinear ordinary differential equations. Asymptotic analysis for large Reynolds numbers shows the relation between axisymmetric flow and two-dimensional flow. Due to the algebraic decay of the similarity functions, numerical integration is performed using a compressed coordinate. The axial velocity is composed of forced convection due to stretching and natural convection from the heated cylinder. The heat transfer increases with both the Reynolds number and the Prandtl number. The result is also a rare similarity solution of the free convection and Navier-Stokes equations.

22

Conjugate heat transfer by boundary-domain integral method  

A novel approach to the numerical simulation of conjugate heat transfer is presented. Heat conduction in a solid is implicitly coupled with heat convection in viscous fluid flow. The frame of the solution is the Navier-Stokes equations set for viscous Newtonian fluid. A formulation for planar geometry is described in detail. The main advantage of the presented approach is implicit handling of the heat transfer conditions at the solid-fluid interface. Computed test examples include conjugate forced convection in a channel and conjugate natural convection in a cavity. (Author)

23

Global circulation and precipitation response to tropical heating in the Madden-Julian oscillation  

This study investigates the global circulation and precipitation response to tropical heating associated with the Madden-Julian oscillation (MJO) during the northern winter and summer. In order to study the causes of these circulation and precipitation anomalies, the GFDL dynamical core primitive equation model is used. Initialized with the observed three-dimensional climatological horizontal wind and temperature, the model is forced with latent heating representing deep convection, stratiform cloud forcing and shallow convection. The extratropical response similar to the observed emerges in two weeks of integrations and this is compared with the theory of Rossby wave dynamics. A series of sensitivity tests are performed and discussed to assess the roles of the following factors: (a) deep convective heating vs stratiform heating and shallow convective heating, (b) background baroclinicity (horizontal temperature gradient), (c) vertical wind shear, (d) interaction with higher-frequency transients, and (e) El Nino and La Nina basic state.

24

Heat transfer of combined forced and natural convection from a horizontal cylinder. ; Heat transfer of cross flow. Suihei enchu mawari no kyosei-shizen kyozon tairyu no netsudentatsu. ; Chokukoryu no netsudentatsu  

Experimental discussions have been given on heat transfer of combined forced and natural convection when the forced convection flows crossing the natural convection generated around a horizontal heated cylinder. Local heat transfer around a cylinder using water as a testing fluid has decreased in front of the cylinder, especially noticeably at a place beneath the cylinder, as the buoyancy has increased, but has increased monotonously on the rear side of the cylinder. Flow separation around the cylinder has affected strongly these changes in the local heat transfer. Because the amount of heat transfer accelerated in the rear side of the cylinder exceeds the amount of heat transfer degraded in the front of the cylinder, the average heat conductivity in the cylinder has always been higher than the values evaluated with the pure forced and pure natural convections. The average heat conductivity around the cylinder with the combined convections cross-flowing can be put into order by the non-dimensional parameter [zeta] to express buoyancy and inertia (= Gr[sub d] (corrected Grashof number)/Nu[sub d] (average Nusselt number) [center dot] Re[sub d][sup 2] (Reynolds number)) as in the cases of parallel flows and opposed flows. It was found that the combined convection region of the cross flow corresponds to the range of 0.1 < [zeta] < 20. 8 refs., 9 figs.

25

Experimental studies on mixed convection heat transfer in laminar flow through a plain square duct  

This paper reports the findings of experimental studies on combined free and forced convection through a plain square duct in laminar region. The test fluid flows through an inner square duct, hot water at high flow rate circulated through a annular channel formed between square duct and circular tube, in counter current fashion to attain a nearly uniform wall temperature conditions. The importance of mixed convection is judged by the value of the Richardson number (Ri). It was observed that at low Reynolds number, heat transfer was mainly governed by mixed convection. However at higher values of Reynolds number, heat transfer was significantly dominated by forced convection. It was found that Reynolds number higher than 1050 for water and 480 for ethylene glycol resulted in laminar forced convention heat transfer. The empirical correlation developed for Nusselt number in terms of Grashoff number and Graez number, was found to fit with experimental Nusselt number within ±11 and ±12 % for water and ethylene glycol respectively.

26

Turbulence Models and Large Eddy Simulations Applied to Ascending Mixed Convection Flows  

Coolant flows in the cores of current gas-cooled nuclear reactors consist of ascending vertical flows in a large number of parallel passages. Under post-trip conditions such heated turbulent flows may be significantly modified from the forced convection condition by the action of buoyancy, and the thermal-hydraulic regime is no longer one of pure forced convection. These modifications are associated primarily with changes to the turbulence structure. Flow laminarization may occur, and in that event heat transfer rates may be as low as 40% of those in the corresponding forced convection case. The present work is concerned with the modelling of such ?mixed? convection flows in a vertical heated pipe. All fluid properties are assumed to be constant and buoyancy is accounted for within the Bou...

27

Effects of combined natural and forced convection on thermal explosion in a spherical reactor  

The effects of combined natural and forced convection on thermal explosion in a spherical reactor are studied. Upward natural convection arises from internal heating caused by a chemical reaction, whilst downward forced convection is driven by injecting fluid at the top and removing it at the bottom of the reactor. It is shown that explosive behaviour is favoured by a balance between the natural and forced flows. Such a balance establishes a nearly stagnant region close to the centre of the reactor which quickly heats up to explosion. In fact, counter-intuitively, explosion may occur in an otherwise stable reactor by injecting cold fluid or enhancing natural convection. A scaling relation predicting the physico-chemical conditions for which explosion occurs at minimum heat release is devel...

28

SURVEY OF HEAT TRANSFER TO NEAR-CRITICAL FLUIDS  

This report surveys near-critical heat transfer, including the following areas: thermal ... itions and suggests procedures for approaching a critical-point heat- transfer problem. ... Heat Transfer in Forced Convection Systems ..... Calculated ... In order to use pseudoboiling models, certain two-phase quantities in addition to the ...

29

Conjugate heat transfer analysis with subcooled boiling for an arc-heater wind tunnel nozzle  

A method for unsteady, axisymmetric, conjugate heat transfer analysis has been developed. The conjugate heat transfer domain comprises co-flowing high-temperature air and subcooled water coolant on opposite sides of a copper-zirconium, converging nozzle. Heat transfer through the nozzle wall is characterized by solid-body conduction with convection boundary conditions along the air side and water side of the nozzle wall. The air-side heat transfer is characterized by forced convection with a turbulent boundary layer. The water-side heat transfer is characterized by forced-convection, subcooled, nucleate boiling. Convective heat transfer coefficients on each side of the nozzle wall are functions of the wall temperature and the respective flow properties, thus coupling the three regions of the domain. The solution method marches in time, solving, at each time step for the nozzle wall temperature distribution, the flow properties on each side of the nozzle wall, and for the convective heat transfer coefficients. The algorithm terminates when either the steady state is achieved or nozzle wall failure conditions are reached. Solutions are obtained for four test cases called from the run history of the Arnold Engineering Development Center HEAT-H1 Test Unit. Results show that the recorded test case failures were not caused by precritical boiling effects. Conclusive failure analysis for the HEAT-H1 test cases awaits application of an appropriate convective boiling critical heat flux model, along with creep and stress-rupture models for the nozzle wall.

30

Heat transfer science and technology; Proceedings of the International Symposium, Qinghua University, Beijing, People's Republic of China, Oct. 15-18, 1985  

Papers are presented on heat conduction, natural and forced heat convection, two-phase flows and visualization, boiling heat transfer, condensation heat transfer, thermal radiation, heat and mass transfer in porous media, and heat exchangers. Also considered are nuclear reaction heat transfer, combustion heat transfer, high-temperature heat transfer, enhanced heat transfer, and industrial heat transfer. Topics considered include an enthalpy method for the solution of the temperature field during the alloy solidification process, laminar heat transfer and flowfield downstream of backward-facing steps, thermal analysis and optimum design for radiating spines of various geometries, and thermal radiation properties of refractory metals and electrically conductive ceramics at high temperatures.

31

Phase change transfers. Convective boiling; Transferts en changement de phase. Ebullition convective  

Convective boiling is largely used in cooling purposes thanks to more efficient thermal transfers than with free boiling. In convective boiling, the heat transfers depend on the forced convection phenomenon and on the nucleate boiling process. The heat transfers in nucleate boiling are mainly controlled by the temperature difference between the wall and the fluid, the fluid properties and the wall wettability. In convective boiling, the velocity of each phase and their distribution play a major role and requires the knowledge of flow configurations with respect to the position of the system (in general horizontal or vertical). The related boiling mechanisms lead to different boiling regimes which must be analyzed separately. The geometry of systems (intra-tubular or extra-tubular boiling) and their orientation significantly modify the heat transfers during boiling. Fluid mixtures require a specific development in convective boiling because of the different behaviours of the different pure fluids. This article presents: 1 - convective boiling: flow with phase change, specific data, flow configurations (vertical tube, horizontal tube), flow maps, basic models of two-phase flows (homogenous model, separate phases model, two-fluids model); 2 - convective boiling with vertical tubes: under-saturated boiling, saturated boiling, critical flux in convective boiling; 3 - convective boiling with horizontal tubes: intra-tubular boiling, extra-tubular boiling; 4 - convective boiling of mixtures: heat transfers in convective boiling, critical heat flux density; 5 - convective boiling in mini- and micro-channels: flow configurations, pressure drops, convective boiling; 6 - improvement of boiling transfers by impacting jets: boiling regimes, heat transfers in nucleate boiling, critical flux for an impacting jet. (J.S.)

32

Mixed convection and high-pressure low-flow steam cooling data from a 64-rod bundle  

Heat transfer data were obtained from low flow steam cooling experiments in a partially uncovered 64-rod bundle. These tests indicated that free convection effects were superimposed on the laminar and turbulent forced convection heat transfer. This paper describes the influence of buoyancy on laminar and turbulent forced convection heat transfer coefficients. Mechanisms due to buoyancy which alter the local heat transfer are summarized. Criteria indicating the importance of buoyancy on laminar and turbulent upflow in a vertical pipe were developed and compared to other criteria found in the literature. These criteria were used to determine the steam cooling data with significant buoyancy influence. Data with buoyancy influence were compared to mixed convection correlations and to a numerical study for rod bundles.

33

Optimum parameters of transversely finned tubes in the case of simultaneous sooling by natural convection and radiations  

The optimum parameters of minimum-weight finned tubes for the case of heat transfer by free convection and radiation are determined using the mathematical model with boundary conditions of the 3-type by the method of calculational experiment. The effects of the coolant and air temperatures diameter and thickness of the bimetallic wall, contamination and other factors on optimal finning parameters are investigated. It is obtained that for the case of heat transfer by free convection and radiation, the optimum finning parameters for the heat transfer surface of minimum-weight tubes by absolute value are larger than those of tube finning with forced convection.

34

Effective convection coefficient for porous interface and solute segregation  

Convective heat and mass transfer coefficients are used to calculate the rate at which convection sweeps heat and mass away from the interface. Convection in melt growth is driven by various forces, and the resulting convoluted flows are laminar or turbulent. Furthermore, cross-flow through the “porous” interface has a profound effect on convection. Thus, a general effective coefficient (heff ), which accounts for: (i) uniform flow “suction” through the porous interface, (ii) forced and/or natural convection, (iii) laminar or turbulent flow, and (iv) finite Schmidt numbers, is derived. Focusing next on solute segregation, mass conservation is used to derive a simple equation for keff (effective segregation coefficient) as a function of heff. Here, heff is an...

35

Groundwater convection model for Rio Grande rift geothermal resources  

It has been proposed that forced convection, driven by normal groundwater flow through the interconnected basins of the Rio Grande rift is the primary source mechanism for the numerous geothermal anomalies along the rift. A test of this concept using an analytical model indicates that significant forced convection must occur in the basins even if permeabilities are as low as 50-200 millidarcies at a depth of 2 km. Where groundwater flow is constricted at the discharge areas of the basins forced convection can locally increase the gradient to a level where free convection also occurs, generating surface heat flow anomalies 5-15 times background. A compilation of groundwater data for the rift basins shows a strong correlation between constrictions in groundwater flow and hot springs and geothermal anomalies, giving strong circumstantial support to the convection model.

36

Surface tension-driven convection patterns in two liquid layers  

Two superposed liquid layers display a variety of convective phenomena that are inaccessible in the traditional system where the upper layer is a gas. We consider several pairs of immiscible liquids. Once the liquids have been selected, the applied temperature difference and the depths of the layers are the only independent control parameters. Using a perfluorinated hydrocarbon and silicone oil system, we have made the first experimental observation of convection with the top plate hotter than the lower plate. Since the system is stably stratified, this convective flow is solely due to thermocapillary forces. We also have found oscillatory convection at onset in an acetonitrile and n-hexane system heated from below.

37

Experimental studies on mixed convection heat transfer in laminar flow through a plain square duct  

This paper reports the findings of experimental studies on combined free and forced convection through a plain square duct in laminar region. The test fluid flows through an inner square duct, hot water at high flow rate circulated through a annular channel formed between square duct and circular tube, in counter current fashion to attain a nearly uniform wall temperature conditions. The importance of mixed convection is judged by the value of the Richardson number (Ri). It was observed that at low Reynolds number, heat transfer was mainly governed by mixed convection. However at higher values of Reynolds number, heat transfer was significantly dominated by forced convection. It was found that Reynolds number higher than 1050 for water and 480 for ethylene glycol resulted in laminar forced...

38

Numerical study of the influence of the convective heat transfer on the dynamical behaviour of a phase change material wall  

In construction, the use of Phase Change Materials (PCM) allows the storage/release of energy from solar radiation and internal loads. The application of such materials for lightweight construction (e.g., a wood house) makes it possible to improve thermal comfort and reduce energy consumption. The heat transfer process between the wall and the indoor air is convection. In this paper, we have developed a numerical model to evaluate several convective heat transfer correlations from the literature for natural, mixed and forced convection flows. The results show that the convective heat transfer highly influences the storage/release process in case of PCM walls. For the natural convection, the numerical results are highly dependent on the correlation used and the results may vary up to 200%. ...

39

Mixed convection about a cone in a porous medium: The entire regime  

The corresponding problem of convective heat transfer in a porous medium has important application such as design of canisters for nuclear waste disposal, nuclear reactor cooling system, geothermal reservoirs, ceramic processing, and filtration processes. The mixed convective heat transfer about a cone embedded in a saturated porous medium is numerically investigated. The surface of the cone is maintained at variable wall temperature (VWT) or variable heat flux (VHF). The transformed governing equations are solved by Keller box method. Numerical results are presented for the dimensionless temperature profiles and the local Nusselt number. Increasing the exponent {lambda} increases the local Nusselt number. As the cone angle parameter m increases, the local Nusselt number increases (decreases) for the case of VWT (VHF). Moreover, as mixed convection parameter {chi}(or {chi}*) varies from 0 (pure free convection) to 1 (pure forced convection), the local Nusselt number decreases initially, reaches a minimum in the intermediate value of {chi} (or {chi}*) and then increases gradually.

40

Mixed convection from an upward facing horizontal flat plate: effect of conduction and radiation  

Experiments have been conducted in a low speed horizontal wind tunnel to study the interaction of radiation and conduction on mixed convective heat transfer from an upward facing horizontal flat plate in air. Differential interferometer has been used to measure local convective heat fluxes. It has been observed that interaction between surface radiation and convection is significant for a low thermal conductivity plate material. On the basis of the previous and current studies, it can be stated that the multi-mode interaction problem is an outcome of the nature of convective boundary layer. The interaction between different modes of heat transfer would remain similar irrespective of the nature of convection (free/mixed or forced).

 
 
 
 
41

Studies of Forced-Convection Heat Transfer Augmentation in Large Containment Enclosures  

Heat transfer enhancement due to jet mixing inside a cylindrical enclosure is discussed. This work addresses conservative heat transfer assumptions regarding mixing and condensation that have typically been incorporated into passive containment design analyses. This research presents the possibility for increasing decay heat removal of passive containment systems under combined natural and forced convection. Eliminating these conservative assumptions could result in a changed containment design and reduce the construction cost. It is found that the ratio of forced- and free-convection Nusselt numbers can be predicted as a function of the Archimedes number and a correlated factor accounting for jet orientation and enclosure geometry.

42

Automatic thermovalve using natural convection  

The invention described here, consists of a thermovalve using natural convection for the regulation of the heat flow from an intermittent heat source (solar collector for example) to the heat storage element. This thermovalve allows the circulation of the heated fluid to the storage when the temperature is superior to the tank base temperature. The thermovalve is composed of a small reservoir where two outlet tubes are possible: if temperature is sufficiently high, the convection effect will force the heat fluid in one of the 2 tubes, conducting to the storage tank.

43

Effective convection coefficient for porous interface and solute segregation  

Convective heat and mass transfer coefficients are used to calculate the rate at which convection sweeps heat and mass away from the interface. Convection in melt growth is driven by various forces, and the resulting convoluted flows are laminar or turbulent. Furthermore, cross-flow through the “porous” interface has a profound effect on convection. Thus, a general effective coefficient (heff ), which accounts for: (i) uniform flow “suction” through the porous interface, (ii) forced and/or natural convection, (iii) laminar or turbulent flow, and (iv) finite Schmidt numbers, is derived. Focusing next on solute segregation, mass conservation is used to derive a simple equation for keff (effective segregation coefficient) as a function of heff. Here, heff is an input, which provides the rate at which convection sweeps the rejected solute away from the interface.From the general expression, even simpler expressions are developed for restricted range of conditions, e.g., Czochralski growth under forced laminar convection (no natural convection or turbulence). heff utilizes numerous established correlations, all developed for impermeable solids.

44

Numerical solutions of conjugate heat transfer and thermal stresses in a circular pipe externally heated with non-uniform heat flux  

Conjugate heat transfer by forced convection through an externally heated pipe has many important engineering applications. In the present work, the radial and axial heat conductions and thermal stresses in a pipe with uniform or non-uniform wall heat flux of fully developed laminar forced convective conjugate heat transfer have been considered for analysis. The analysis is based on the two-dimensional steady-state heat conduction equation and laminar boundary layer equation for the flowing fluid by using a finite difference scheme. Water has been used as a fluid. Numerical calculations have been performed by using the FLUENT 4.5 and HEATING7 computer codes. The temperature and stress ratio distributions inside the pipe wall, heated from the outer surface by applying uniform and non-uniform heat fluxes, have been presented for two different mean flow velocities. The temperature distributions of the flowing fluid inside the pipe have also been presented for all investigated cases.

45

Numerical solutions of conjugate heat transfer and thermal stresses in a circular pipe externally heated with non-uniform heat flux  

Conjugate heat transfer by forced convection through an externally heated pipe has many important engineering applications. In the present work, the radial and axial heat conductions and thermal stresses in a pipe with uniform or non-uniform wall heat flux of fully developed laminar forced convective conjugate heat transfer have been considered for analysis. The analysis is based on the two-dimensional steady-state heat conduction equation and laminar boundary layer equation for the flowing fluid by using a finite difference scheme. Water has been used as a fluid. Numerical calculations have been performed by using the FLUENT 4.5 and HEATING7 computer codes. The temperature and stress ratio distributions inside the pipe wall, heated from the outer surface by applying uniform and non-uniform heat fluxes, have been presented for two different mean flow velocities. The temperature distributions of the flowing fluid inside the pipe have also been presented for all investigated cases. (author)

46

Thermal interaction between natural convection on side of a vertical wall and forced convection on the other side  

An analysis is made for the conjugate heat transfer problem of natural convection on side of a vertical wall and forced convection on the other side. The natural convection mode is treated analytically by employing the Oseen linearization approach. The forced convection boundary layer is analyzed on the basis of the integral technique. The two solutions are matched on the wall so as to satisfy the continuity of the heat flux across the wall between the two fluids. The analysis shows that the complexion of this two-fluid problem is governed by a dimensionless conjugate parameter which relates the heat transfer effective of the forced convection to that of the free convection. The boundary conditions at the wall are not prescribed in the analysis in advance, rather, determined among the results. The heat transfer and flow characteristics in the two counter-flowing boundary layers are presented in graphs. Heat transfer results of engineering importance are determined as a function of the conjugation parameter. (author)

47

PREDICTION OF BURNOUT HEAT FLUX OF FORCED CONVECTION  

A method for predicting burnout heat flux of forced convective flow of water in a channel is described. The pressure range covered is between atmospheric pressure and 2000 psia, Reynolds number of fiow between 7 x 10/sup 3/ and 5 x 10/sup 5/, length to diameter ratio of fiow channel between 7 and 160, and various channel geometries. The method calculates the heat flux q/sub A/ at point A where the non-boiling forced convection heat-transfer characteristic curve might intersect with the natural convection-bulk characteristic curve if the boiling did not occur. A correlation between the ratio of burnout heat flux q/sub BO/ to heat flux q/sub A/ and Reynolds number is presented for practical purposes. (auth)

48

Flow of a non-Newtonian fluids on a flat plate: II. heat transfer  

Forced convective heat transfer of non-Newtonian fluids on a flat plate has been investigated using a recently proposed modified power-law model. For a shear-thinning fluid, non-Newtonian effects are illustrated via local temperature distributions, heat transfer rate, and surface temperature distribution. Most significant effects occur near the leading edge, gradu-ally tailing off far downstream.

49

Geoneutrino Experiment at Homestake.  

A significant fraction of the 44 TW of heat dissipation from the Earth's interior is believed to originate from the decays of terrestrial uranium and thorium. The only estimates of this radiogenic heat, which is the driving force for mantle convection, co...

50

Mathematical simulation of conjugate mixed convection in a rectangular region with a heat source  

Conjugate convective-conductive heat transfer in a rectangular region with forced flow and a heat source is simulated numerically. Distributions of the thermal and hydrodynamic characteristics of the flow regimes studied are obtained. The evolution of the process analyzed is shown.

51

Heat powered cycles `97. Proceedings  

Topics reviewed in these Proceedings of the 1997 International Heat Powered Cycles Conference include heat powered cycle research; heat pumps; adsorption cycles; solid-gas thermochemical systems; refrigeration and refrigerators; adsorption cooling systems; absorption cycles; gas-fired ejector-absorption cycle technology for building air conditioning; heat transformers; heat transfer; heat exchangers; airless drying; adsorption generators; condensation heat transfer; cogeneration driven by low grade heat; solar powered Rankine Cycle; irreversible heat engines; gas turbines; multi-metal oxide aerogel for capturing pollutant gases from air; and natural and forced convection. (UK)

52

Heat Transfer Coefficient in Flow Convection of Pipe-Cooling System in Massive Concrete  

Pipe-cooling has been widely used for reducing hydration heat and controlling cracking in massive concrete structures. Therefore, the heat transfer coefficients in flow convections, which represent the thermal transfer between the inner stream of the pipe and the concrete, must be estimated accurately. In this paper, a device measuring the heat transfer coefficient is developed based on the concept of internal forced convection. The main influencing factors on the heat transfer coefficient in the flow convection are the flow velocity, pipe diameter and thickness, and the pipe material. Using experimental results obtained from the developed device, a general prediction model for heat transfer coefficients is suggested. The proposed prediction model was found to estimate the heat transfer coefficient correctly with respect to the properties of the flow and pipe in comparisons of measured data and the numerical results of a heat transfer analysis conducted on an actual massive concrete structure.   

53

Heat transfer and thermoregulation in the largemouth blackbass, Micropterus salmoides  

An energy budget equation, based on energy budget theory for terrestrial organisms, was developed to describe the heat energy exchange between a largemouth bass (Micropterus salmoides) and its aquatic environment. The energy budget equation indicated that convection and a combined conduction-convection process were major avenues of heat exchange for a fish. Solid aluminum castings were used to experimentally determine heat transfer coefficients for the largemouth bass at water velocities covering the free and forced convection ranges. Heat energy budget theory was applied to the casting data and the derived coefficients were used to characterize heat exchange between the bass and its aquatic habitat. The results indicate that direct transfer of heat from the body surface is the major mechanism of heat exchange for a fish.

54

The influence of a heat transfer coefficient probe on fluid flow near wall  

Good knowledge of the convective boundary condition is necessary for finite element analysis of thermal deformation behavior in machine tools. There are a number of correlation equations for natural and forced convection and several correlations for mixed convection. Due to a relatively wide range of dimensions, temperatures and speeds, all regimes of convective heat transfer can be observed in machine tools, including the transition region between laminar and turbulent free convection, characterized by Rayleigh number values ranging between Ra = 108 - 109. Since convection in machine tools is highly influenced by external and internal factors, the heat transfer coefficient characterizing convective heat transfer and its changes has to be evaluated experimentally. An experimental technique for evaluating the heat transfer coefficient on the wall and its changes between the wall and the ambient air, based on an active sensor, is being developed. Since the probe dimensions are not negligible, given the fluid motion structures near the wall which are induced by buoyancy or by forced flow, the influence of the probe has to be considered. Paper deals with latest experimental results and summarizes previous work.

55

Heat transfer to fine coal particles in flash pyrolysis  

Heat transfer to fine bituminous coal particles suspended in argon has been studied by recording infrared emission from the coal as a function of time at wavelengths 3.42 and 2.26 MUm when the coal was subjected to very rapid heating by a shock wave. The rate of particle heating was found to fit a Nusselt model of conductive heat transfer. Light extinction studies on coal suspensions showed that particles of diameter <5 MUm undergo velocity relaxation behind the shock front in less than 30 MUs. Allowance for forced convective heat transfer to the coal particles in the velocity relaxation zone was made in the heat transfer analysis, but forced convection was found to be unimportant in these studies. The Nusselt heat conduction model has been found to hold for heat transfer to micron-sized coal particles up to 1200 K; above this temperature infrared emission from soot, produced from products of devolatilization of the coal becomes important.

56

Improving the representation of thermal boundary conditions of livestock during CFD modelling of the indoor environment  

The use of computational fluid dynamics (CFD) to evaluate the climate distribution in agricultural buildings has grown in importance in recent years. Convection and radiation are the dominant forms of heat transfer from an animal's body, and accurately accounting for animal heat flux during CFD simulations is necessary to achieving a good understanding of the livestock's thermal environment. Of the total heat flux leaving the animal, the convective part is regularly calculated using a predetermined ratio between the convective to radiative parts (C-R ratio). However, by employing this ratio the CFD modeller is essentially forcing the simulated animal to lose a certain amount of convective heat, irrespective of the environmental conditions at their location. Therefore, unless the indoor env...

57

Convective Non-laminar and Turbulent Flow in Hydrogeologic Systems  

Convective flows due to heat transfer play an important role in many hydrogeologic systems. The generic systems considered here represent aquifers, subduction zones, and water or air-filled natural/man-made caves or mines. The fluid flow in these systems is often dominated by geothermal forcing, resulting in convection. The convection can be non-laminar or even turbulent, especially in cavities. In order to gain insight into these non-laminar and turbulent convective processes, a computational fluid dynamics (CFD) mathematical modeling approach is taken. For the purpose of comparison, and to better understand the change in the nature of each system, two other flow regimes, namely no-flow and laminar flows, are also considered. Patterns of convection, flow rates and residence times, and heat transfer rates are used to characterize and compare the different systems.

58

Double tube heat exchanger with novel enhancement: part II—single phase convective heat transfer  

The study is conducted to evaluate the heat transfer characteristics of two new and versatile enhancement configurations in a double tube heat exchanger annulus. The novelty is that they are usable in single phase forced convection, evaporation and condensation. Heat transfer coefficients are determined by the Wilson Plot technique in laminar and turbulent flow and correlations are proposed for Nusselt numbers. Comparisons are then made between heat transfer and flow friction.

59

Double tube heat exchanger with novel enhancement: part II?single phase convective heat transfer  

The study is conducted to evaluate the heat transfer characteristics of two new and versatile enhancement configurations in a double tube heat exchanger annulus. The novelty is that they are usable in single phase forced convection, evaporation and condensation. Heat transfer coefficients are determined by the Wilson Plot technique in laminar and turbulent flow and correlations are proposed for Nusselt numbers. Comparisons are then made between heat transfer and flow friction.

60

Analysis of loss of coolant accident in MTR pool type research reactor  

In MTR research reactors, heat removal is, safely performed by forced convection during normal operation and by natural convection after reactor shutdown for residual decay heat removal. However, according to the duration time of operation at full power, it may be required to maintain the forced convection, for a certain period of time after the reactor shutdown. This is among the general requirements for the overall safety engineering features of MTR research reactors to ensure a safe residual heat removal. For instance, in safety analysis of research reactors, initiating events that may challenge the safe removal of residual heat must be identified and analyzed.In the present work, it was assumed a total loss of coolant accident in a typical MTR nuclear research reactor with the objectiv...

 
 
 
 
61

Model of Convective Taylor Columns in Rotating Rayleigh-Bénard Convection  

Observations, and laboratory and numerical studies, of fluid flows with strong rotation and thermal forcing often show long-lived convective Taylor columns (CTCs) which carry a large portion of the vertical heat and mass fluxes. However, owing to experimental and numerical challenges, these structures remain poorly understood. Here we present a nonlinear, analytical multiscale model of CTCs in the context of rotating Rayleigh-Bénard convection that successfully matches numerical simulations and provides a new multiscale interpretation of the Taylor-Proudman constraint.

62

Method and apparatus for cooling high temperature superconductors with neon-nitrogen mixtures  

Apparatus and methods for cooling high temperature superconducting materials (HTSC) to superconductive temperatures within the range of 27.degree. K. to 77.degree. K. using a mixed refrigerant consisting of liquefied neon and nitrogen containing up to about ten mole percent neon by contacting and surrounding the HTSC material with the mixed refrigerant so that free convection or forced flow convection heat transfer can be effected.

63

A meshless method for modeling convective heat transfer  

A meshless method is used in a projection-based approach to solve the primitive equations for fluid flow with heat transfer. The method is easy to implement in a MATLAB format. Radial basis functions are used to solve two benchmark test cases: natural convection in a square enclosure and flow with forced convection over a backward facing step. The results are compared with two popular and widely used commercial codes: COMSOL, a finite element model, and FLUENT, a finite volume-based model.

64

Cooling of rotating electrical machines; Refroidissement des machines electriques tournantes  

Heat losses of different origins are largely distributed inside the structure of electrical rotating machines but also inside the cooling fluid itself. The thermal dimensioning of an electrical machine (i.e. the calculation of the temperature field and the determination of heat evacuation ways) requires general laws and particular relations which are synthesised in this paper: general heat transfer laws (conduction, convection, radiant heat transfers); heat conduction inside the structure (simple examples of application, radial heat transfers in stationary regime inside a simplified stator, representation of heterogenous elements, interfaces and contacts between parts, some data concerning materials); convective transfers (characteristic parameters, forced convection inside a fixed channel, inside a narrow annular space, inside an axial rotor channel and near coil heads, relations and complementary remarks, some data concerning fluids). (J.S.) 61 refs.

65

Analysis on heat transfer correlations of supercritical CO2 cooled in horizontal circular tubes  

The objective of the present study is to analyze the heat transfer correlations of supercritical CO2 cooled in horizontal circular tubes. In the paper, heat transfer correlations are first reviewed and compared with the experimental data at different heat fluxes. The results show that most of the previous correlations agree well with the experimental data under lower heat flux, but fail to predict the heat transfer coefficient well when the heat flux is as high as 33 kW/m2. The study of buoyancy effect on convective heat transfer shows that buoyancy effect significantly affects the heat transfer with the increase of heat flux, and both free and forced convections operate in the turbulence flow during supercritical CO2 cooling process. The influencing factors on heat transfer coefficient are summarized and the new correlation can be developed with the four dimensionless numbers.

66

Post-scram Liquid Metal cooled Fast Breeder Reactor (LMFBR) heat transport system dynamics and steam generator control: Figures  

Dynamic modeling of LMFBR heat transport system is discussed. Uncontrolled transient behavior of individual components and of the integrated heat transport system are considered. For each component, results showing specific dynamic features of the component and/or model capability were generated. Controlled dynamic behavior for alternative steam generator control systems during forced and natural sodium coolant circulation was analyzed. Combined free and forced convection of laminar and turbulent vertical pipe flow of liquid metals was investigated.

67

Forced-to-natural convection transition tests in parallel simulated liquid metal reactor fuel assemblies  

The Thermal-Hydraulic Out of Reactor Safety (THORS) Program at Oak Ridge National Laboratory (ORNL) had as its objective the testing of simulated, electrically heated liquid metal reactor (LMR) fuel assemblies in an engineering-scale, sodium loop. Between 1971 and 1985, the THORS Program operated 11 simulated fuel bundles in conditions covering a wide range of normal and off-normal conditions. The last test series in the Program, THORS-SHRS Assembly 1, employed two parallel, 19-pin, full-length, simulated fuel assemblies of a design consistent with the large LMR (Large Scale Prototype Breeder -- LSPB) under development at that time. These bundles were installed in the THORS Facility, allowing single- and parallel-bundle testing in thermal-hydraulic conditions up to and including sodium boiling and dryout. As the name SHRS (Shutdown Heat Removal System) implies, a major objective of the program was testing under conditions expected during low-power reactor operation, including low-flow forced convection, natural convection, and forced-to-natural convection transition at various powers. The THORS-SHRS Assembly 1 experimental program was divided up into four phases. Phase 1 included preliminary and shakedown tests, including the collection of baseline steady-state thermal-hydraulic data. Phase 2 comprised natural convection testing. Forced convection testing was conducted in Phase 3. The final phase of testing included forced-to-natural convection transition tests. Phases 1, 2, and 3 have been discussed in previous papers. The fourth phase is described in this paper. 3 refs., 2 figs.

68

Mixed convection in a liquid-saturated porous medium  

An experimental and numerical investigation of mixed convection phenomena about a finite-length, vertical, cylindrical heat source in a unfiorm, liquid-saturated, porous medium was conducted. Bouyancy-induced upflow about the heat source was systematically altered by the superposition of vertical, pressure-driven flows which opposed the bouyancy-induced fluid motion. The evolution of the mixed convection velocity and thermal fields with increasing magnitude of the imposed-flow Peclet number are reported. The ratio of the natural convection Rayleigh number Ra to the imposed-flow Peclet Number Pa is shown to be the nondimensional parameter that characterizes the relative influence of buoyancy-induced to pressure-driven fluid motion. Using total disappearance of buoyancy-induced upflow as the criterion, the transition from mixed to forced convection, for opposing flows, is numerically predicted to occur for )vertreverse arrowbar) Ra/Pe )vertreverse arrowbar)approx. =1/2, independent of the heat source length or power input.

69

Heat storage building materials for passive solar applications  

The technical concerns and cost aspects of developing heat storage wall/ceiling panels for use in passive solar heated structures are addressed. The phase change materials (PCM) wall and ceiling panels were developed and tested for applications where the charge mechanisms are free and forced air convection and direct irradiation of the panel in the Sun. The discharge mechanism will involve both convection and radiation heat transfer to the room from the PCM wall and ceiling panels. Structured in this way, this panel development program is responsive to the needs of structures which utilize attic air collectors and interior storage as well as direct gain structures.

70

Generalized drying curves in conductive/convective paper drying  

Abstract in english This work presents a study related to conductive/convective drying of paper (cellulose) sheets over heated surfaces, under natural and forced air conditions. The experimental apparatus consists in a metallic box heated by a thermostatic bath containing an upper surface on which the paper samples (about 1 mm thick) are placed. The system is submitted to ambient air under two different conditions: natural convection and forced convection provide by an adjustable blower. The (more) influence of initial paper moisture content, drying (heated surface) temperature and air velocity on drying curves behavior is observed under different drying conditions. Hence, these influence is studied through the proposal of generalized drying curves. Those curves are analyzed individually for each air condition exposed above and for both together. A set of equations to fit them is proposed and discussed.

71

Modeling of laminar forced convection in spherical-pebble packed beds  

There are many parameters that have significant effects on forced convection heat transfer in packed beds, including Reynolds and Prandtl numbers of flow, porosity, pebble geometry, local flow conditions, wall and end effects. In addition, there have been many experimental investigations on forced convection heat transfer in packed beds and each have studied the effect of some of these parameters. Yet, there is not a reliable correlation that includes the effect of main parameters; at the same time, the prediction of precise correct limits for very low and high Reynolds numbers is off hand. In this article a general well-known model of convection heat transfer from isothermal bodies, next to some previous reliable experimental data has been used as a basis for a more comprehensive and accu...

72

Mixed convection in the shell of a horizontal Na-to-NaK heat exchanger  

From 4th international seminar on heat and mass transfer in liquid metals; Trojir, Yugoslavia (6 Sep 1971). See CONF-710942-. Experimental results obtained on a Na-to-NaK heat exchanger operated in the 88-to-1500 Peclet number range are presented. For the present test section, operating in the horizontal position (equivalent diameter D/sub H/ =7.24 x 10/sup -2/ m), an important influence of free convection at Peclet numbers lower than 800 was observed, The effect is characterizcd by a noticeable sodium stratification, with temperature differences on the shell in some cases of nearly90 deg C, and by a decrcase in the average heat-exchange rate, although locally, for a value of L/D/sub H/ = 68.5, Nusselt numbers are higher than forced-convection values. The temperature distributions of the sodium on the shell-side and the shell-side mixedconvection Nusselt numbers compared with those for forced convection are shown. (auth)

73

Assessment of the MARS code for design of water pool-type reactor cavity cooling system in HTGR  

This paper reports an experimental and numerical study on the assessment of the MARS code as a tool for analyzing the water pool-type reactor cavity cooling system (RCCS), which was developed by Seoul National University (SNU). A series of experiments were performed to determine the heat removal capability of the proposed RCCS and assess the capability of MARS code to predict the forced convective, natural convective and radiative heat transfer under normal operation conditions and boiling heat transfer during accident conditions in the RCCS. In the loss of forced convection (LOFC) accident experiment performed at the integral effect test facility called RCCS-SNU, the MARS code underestimated the vapor generation rate at the inner wall of the water pool. Therefore, the newly developed mode...

74

Numerical study on magneto-convection of cold water in an open cavity with variable fluid properties  

Highlights: > We investigate the magneto-convection of cold water in an open cavity. > Temperature of maximum density leaves strong effects on flow and heat transfer. > Convection is enhanced by thermocapillary force when buoyancy force is weakened. > Heat transfer behaves nonlinearly with density inversion parameter and Marangoni number. > Heat transfer rate decreases on increasing the Hartmann number. - Abstract: The aim of the present study is to understand the problem of buoyancy and thermocapillary induced convection of cold water near its density maximum in an open cavity with temperature dependent properties in the presence of uniform external magnetic field. The governing equations are solved by the finite volume method. The results are discussed for various values of reference temperature parameter, density inversion parameter, Rayleigh, Hartmann and Marangoni numbers. It is observed that the temperature of maximum density leaves strong effects on fluid flow and heat transfer due to the formation of bi-cellular structure. Convection heat transfer is enhanced by thermocapillary force when buoyancy force is weakened.

75

Forced-convection film condensation on a horizontal cylinder with wavy surface structure  

The forced-convection film condensation on a horizontal cylinder with wavy surface structure was performed by boundary-layer-approximation. The local/mean heat fluxes were obtained for the effects of tube temperature, wave number, and wave amplitude. The mean heat flux increases with decreasing wavy amplitude and tube temperatures. Furthermore, when {beta}=20 and {alpha}=0.005, the mean heat flux slightly increases from 1.1 to 3.6% compared with that of smooth tube, depending on tube temperature. (orig.)

76

A New Correlation Method for the Effect of Vibration on Forced-Convection Heat Transfer  

The forced convection heat transfer from a vibrating sphere, a cylinder and a square-section tube to water was experimentally investigated. The obtained heat transfer data with the vibration effect is well correlated in terms of the energy dissipation calculated from the fluid drag acting on the vibrating bodies. Through the use of the energy dissipation, the heat transfer from vibrating bodies to a fluid flow can be discussed analogously with the mass transfer.   

77

Numerical study of conjugate heat transfer in rectangular microchannel heat sink with Al2O3/H2O nanofluid  

In the present paper, conjugate heat transfer approach has been used to numerically study laminar forced convective heat transfer characteristics of Al2O3/H2O nanofluid flowing in a silicon microchannel heat sink (MCHS) of rectangular cross-section using thermal dispersion model. Results are presented in terms of thermal resistance that characterizes MCHS performance. It is observed that use of nanofluid improves MCHS performance by reducing fin (conductive) thermal resistance.

78

Heat transfer at various methods of thermal protection in the systems of power-driven gas turbine plants (GTP)  

The scheme variants of implementing the thermal protection against heat flows being generated by the body of a high-temperature stationary gas turbine engine (GTE) are presented. The scheme of the experimental bench with a working section is given. Methodical approaches to the heat transfer calculation at different variants of forced and natural convection organization and under various operating conditions are described. The generalized results of the experiments carried out using a heat curtain being generated by porous injection are presented.

79

Heat Transfer in an Axially Rotating Tube Fitted with Twin Twisted Tapes  

This paper describes an experimental study of heat transfer in an axially rotating tube fitted with twin twisted tapes. The manner in which rotation modifies the forced heat convection is considered for the case where the tube rotates about an axis in parallel to the tube's axis of symmetry with particular reference to the design of enhanced cooling channels for rotor windings in a rotating electro-machinery. A selection of experimental results illustrates the individual and interactive effects of Coriolis and centripetal buoyancy forces on heat transfer along the radially outer edge of rotating tube. With the prevailing swirl-flow structures generated by twin twisted tapes, the isolated Coriolis force effect plays a dominant role to initiate the heat transfer reduction form the static-tube scenario that is followed by a subsequent recovery which could lead to heat transfer improvement as the relative strength of Coriolis force increases. The reversed buoyancy impact from improving to impeding heat transfer develops at the higher level of Coriolis force. An empirical correlation, which is physically consistent, has been developed to permit the evaluation of interactive effects of swirling-flows, convective inertial force, Coriolis force and centripetal buoyancy on heat transfer.   

80

Heat Transfer in an Axially Rotating Tube Fitted with Twin Twisted Tapes  

This paper describes an experimental study of heat transfer in an axially rotating tube fitted with twin twisted tapes. The manner in which rotation modifies the forced heat convection is considered for the case where the tube rotates about an axis in parallel to the tube's axis of symmetry with particular reference to the design of enhanced cooling channels for rotor windings in a rotating electro-machinery. A selection of experimental results illustrates the individual and interactive effects of Coriolis and centripetal buoyancy forces on heat transfer along the radially outer edge of rotating tube. With the prevailing swirl-flow structures generated by twin twisted tapes, the isolated Coriolis force effect plays a dominant role to initiate the heat transfer reduction form the static-tube scenario that is followed by a subsequent recovery which could lead to heat transfer improvement as the relative strength of Coriolis force increases. The reversed buoyancy impact from improving to impeding heat transfer develops at the higher level of Coriolis force. An empirical correlation, which is physically consistent, has been developed to permit the evaluation of interactive effects of swirling-flows, convective inertial force, Coriolis force and centripetal buoyancy on heat transfer.

 
 
 
 
81

Experimental study of low-frequency oscillations and large-scale circulations in turbulent mixed convection  

The formation and dynamics of large-scale circulations in forced and mixed convection has been studied at ambient and elevated fluid pressure by means of particle image velocimetry and temperature measurements. The study has been conducted in two rectangular containers of the same shape and aspect ratios of Gxz=1 and Gyz=5. For the measurements at high fluid pressure the dimensions of the cell have been scaled down by a factor of 5. Air with Pr=0.7 has been used as fluid in both configurations. Forced convection has been investigated at Re=1.01x104 and mixed convection has been studied at Ar=3.3, Re=1.01x104 and Ra=2.4x108. In this configuration low-frequency oscillations in the heat transfer between the inlet and outlet have been found for mixed convection. Instantaneous velocity vector f...

82

Mixed convection heat transfer from a horizontal plate with variable surface heat flux in a porous medium  

In this article nonsimilarity solution for mixed convection from a horizontal surface in a saturated porous medium was obtained for the case of variable surface heat flux. The entire mixed convection regime, ranging from pure forced convection to pure free convection, is considered by introducing a single nonsimilarity parameter. Heat transfer results are predicted by employing four different flow models, namely, Darcy's law, the Ergun model, and the Brinkman-Forchheimer-extended Darcy model with constant and variable porosity. The variable porosity effect is approximated by an exponential function. Effects of transverse thermal dispersion are taken into consideration in the energy equation, along with variable stagnant thermal conductivities. The formulation of the present problem shows that the flow and heat transfer characteristics depend on five parameters, that is, the power in the variation of surface heat flux, the nonsimilarity mixed-convection parameter, the inertia effect parameter, the boundary effect parameter, and the ratio of thermal conductivity of the fluid phase to that of the solid phase. Numerical results for the local Nusselt number variations, based on the various flow models, are presented for the entire mixed convection regime. The impacts of different governing parameters on the heat transfer results are thoroughly investigated.

83

Thermal and mass convection. Nusselt number: part 2; Convection thermique et massique. Nombre de Nusselt: partie 2  

This article presents the expressions of the Nusselt number for mixed convection in simple and complex geometries: 1 - simple geometries: mixed external convection (cylinder, immobile flat plate, moving flat plate), internal mixed convection (inside an isothermal vertical tube, inside an horizontal tube); 2 - complex geometries: external forced convection (tube bundle with perpendicular flow, tube bundle with axial laminar flow), external natural convection, internal natural convection (rectangular duct with partition, vertical duct), internal forced convection - T junctions. (J.S.)

84

The Use of Ferrofluids to Model Materials Processing  

problem. When a magnetic or ferrofluid is placed in an appropriate magnetic field , the induced ... of the magnetic particles and the resulting forced diffusion that drives convection). Although .... heat transport in a reduced ... of the fluid injected into a test cell tends to swirl around and mix. ... oriented by Brownian motion in the ...

85

Rayleigh-B_nard Simulation using Gas-kinetic BGK Scheme in the ...  

Raylcigh-BSnard thermal convection in the incompressible flow limit, where the .... forcing term F in Eq.(2.2) .... for a time step At, we get the total mass, momentum .... advcction and diffusion terms. The viscous heating tcrm in the Navier-Stokes ...

86

Enhancement of heat transfer and entropy generation analysis of nanofluids turbulent convection flow in square section tubes  

In this article, developing turbulent forced convection flow of a water-Al2O3 nanofluid in a square tube, subjected to constant and uniform wall heat flux, is numerically investigated. The mixture model is employed to simulate the nanofluid flow and the investigation is accomplished for particles si...

87

Numerical investigation of Al2O3/water nanofluid laminar convective heat transfer through triangular ducts  

In this article, laminar flow-forced convective heat transfer of Al2O3/water nanofluid in a triangular duct under constant wall temperature condition is investigated numerically. In this investigation, the effects of parameters, such as nanoparticles diameter, concentration, and Reynolds number on t...

88

ADVANCED ENG l NE STUDY FOR MIXED-MODE ORB IT ...  

Report (Aero jet Liquid Rocket Co.) 228 p RC ..... engine data and descriptions necessary for mixed-3'1ode orbit-transfer- vehicle studies. 8. ...... Pbtn Pwr. Outlet Flow Rate. lb/sec. Volmetrlc Flow Rate, GPM. NPSH. f t. Suctton Speclfic Spted ...... Hines, W.S., Turbulent Forced Convection Heat Transfer to Liquids at Very High ...

89

Numerical investigation of nanofluids forced convection in circular tubes  

Abstract In this paper, developing laminar forced convection flow of a water–Al2O3 nanofluid in a circular tube, submitted to a constant and uniform heat flux at the wall, is numerically investigated. A single and two-phase model (discrete particles model) is employed with either con...

90

Air Temperature Fields inside Refrigeration Cabins: A Comparison of Results from CFD and ANN modelling  

Abstract In refrigerated spaces, the inside air is cooled by a heat sink operating either by forced or natural convection. The last situation is more frequently used in small apparatus, such as domestic household refrigerators. The inside air temperature is not usually monitored in these ref...

91

/I/93/ 4q  

information presented here, but also to the effective use of computer codes which may be .... engineer is the chapter on forced convection in external flows by Rubesin et al.8 ...... much higher than the heating of the surface just ahead of the cavity. ..... pyrolytic graphite, mesophase graphite, glassy carbon, and natural ...

92

Parabolic flight experiment "Convection in a Cylinder" - Convection patterns in varying buoyancy forces  

Within the project "Convection in a Cylinder" (CiC) heat transfer enhancement is studied for the case of two concentric, vertically aligned cylinders. The cylindrical gap is filled with a dielectric liquid, which viscosity is just few times higher than that of water. The inner cylinder is heated and the outer one is cooled. This setup in a gravitational buoyancy field leads to a fluid movement in a single convective cell with hot fluid rising at the inner boundary and cold fluid sinking at the outer boundary. The top and bottom part of the system shows horizontal movement, again in boundary layers. The strengthening of temperature gradient induces instabilities of that convective motion. If we vary the buoyancy force by means of electro-hydrodynamic effects, the patterns of convection differ from those instabilities rising only from variation of the temperature gradient.

93

Heat and Flow Characteristic of Natural Convection on Vertical Flat Plate Heater in Supercritical Helium  

A three-dimensional direct numerical simulation (3D-DNS) was performed in order to clarify vortical structures under a natural convective flow field on vertical flat plate heaters in the supercritical helium near the gas-liquid critical point. The computation was carried out under the isobaric system. It is clear from the numerical analysis that laminar-turbulent transition in natural convection in a vertical flat plate system is generated after two kinds of instabilities. This transition process is similar to jet and mixing layer as opposed to forced convection. The heat transfer characteristics are also obtained and compared with that of the natural convection of ordinary viscous fluid. The mechanism of turbulent heat transfer enhancement is confirmed through the analysis of vortical structures. It is also shown that the intermittent structures exist in the velocity boundary layer by considering not only vortical structures but also PDF for turbulent velocity and its spatial derivative.

94

COBRA-WC pretest predictions and post-test analysis of the FOTA temperature distribution during FFTF natural-circulation transients  

The natural circulation tests of the Fast Flux Test Facility (FFTF) demonstrated a safe and stable transition from forced convection to natural convection and showed that natural convection may adequately remove decay heat from the reactor core. The COBRA-WC computer code was developed by the Pacific Northwest laboratory (PNL) to account for buoyancy-induced coolant flow redistribution and interassembly heat transfer, effects that become important in mitigating temperature gradients and reducing reactor core temperatures when coolant flow rate in the core is low. This report presents work sponsored by the US Department of Energy (DOE) with the objective of checking the validity of COBRA-WC during the first 220 seconds (sec) of the FFTF natural-circulation (plant-startup) tests using recorded data from two instrumented Fuel Open Test Assemblies (FOTAs). Comparison of COBRA-WC predictions of the FOTA data is a part of the final confirmation of the COBRA-WC methodology for core natural-convection analysis.

95

Nonbuoyancy density-driven convective mass and heat transfer: Scaling analysis and solution methodology  

Abstract Density change during mass or heat transfer can cause convection in the absence of buoyancy forces. Prior studies have shown that this convection can be significant in the determination of diffusion coefficients and in the casting of polymeric membranes. Including this effect is challenging even for advanced numerical codes. A general methodology for obtaining the mass-average velocity for unsteady-state, one-dimensional, multicomponent mass and/or heat transfer circumvents the problem of numerically solving the coupled continuity equation. Scaling analysis permits assessing the importance of this convection for a generic equation-of-state. Numerical predictions for evaporation from a liquid layer for components having density ratios of 1:1 and 0.7:1 indicate that ignoring convect...

96

Two-phase forced-convective fouling under steam generator operating conditions  

Two-phase forced-convective fouling can occur in adiabatic two-phase flow and in diabatic two-phase flow, where it can be a significant contributor to fouling under flow-boiling conditions. For recirculating steam generators (SGs), it is, therefore, of significance to steam separators, tube support plates, tubesheet and the tube bundle. Loop test data are presented on forced-convective fouling rate of iron corrosion products under a range of conditions relevant to the secondary-side of recirculating SGs. The measurements were performed using a number of corrosion products (magnetite, hematite and lepidocrocite) under a range of water chemistry conditions, with several different amines. The measurements were limited to the straight-tube geometry. Comparable fouling data are given for flow-boiling conditions. A SG artefact was examined to corroborate the loop data. The rate constants for the forced-convective fouling measurements are compared with those for flow-boiling fouling. Their relative magnitudes can vary greatly, depending on the chemistry and thermohydraulic conditions. Boiling fouling dominated over forced-convection fouling for hematite and lepidocrocite particles, likely because of particle-bubble interactions. Forced-convective fouling rate was only slightly lower than boiling fouling for magnetite. For the region of cross-flow (upper tube bundle), deposits show significant thickness variation. Four or five deposit thickness peaks are noted, approximately equally spaced circumferentially. It is hypothesized that the fouling pattern is developed due to the cross-flow pattern present in the tube bundle. The possible interactions between the force-convective and nucleate-boiling fouling streams are briefly discussed. A method is presented for the superposition of the forced-convective and nucleate boiling fouling components. This method is based on the Chen heat transfer correlation. (author)

97

Measurement of heat transfer coefficients by nuclear magnetic resonance.  

We demonstrate an experimental method for the measurement of heat transfer coefficient for a fluid system by magnetic resonance imaging. In this method, the temporal variation of thermally induced nuclear shielding is monitored and the average heat transfer coefficient is measured as a function of fluid velocity. We examine the cases of natural convection and forced convection at fluid velocity up to 0.8 m s(-1). These cases correspond to low dimensionless Biot (Bi) number where the heat transfer is limited by thermal convection. We demonstrate the NMR method for two simple geometries, a cylinder and a sphere, to experimentally determine the heat transfer coefficient (h) in two NMR imaging and spectroscopy systems through measuring three NMR parameters, the chemical shift, magnetization and spin self diffusion coefficient. PMID:18524523

98

Mixed convection film condensation from downward flowing vapors onto a sphere with variable wall temperature  

A model is developed for the study of mixed- convection film condensation from downward flowing vapors onto a sphere with variable wall temperature. The model combined natural convection dominated and forced convection dominated film condensation, concerning effects of pressure gradient (P), interfacial vapor shear drag and non-uniform wall temperature variation (A), has been investigated and solved numerically. The effect of pressure gradient on the dimensionless mean heat transfer, NuRe{sup -1/2} will remain almost uniform with increasing P until P=2/9F for various corresponding available values of F. Meanwhile, the dimensionless mean heat transfer, NuRe{sup -1/2} is increasing significantly with F for its corresponding available values of P. Although the non-uniform wall temperature variation has an appreciable influence on the local film flow and heat transfer; however, the dependence of mean heat transfer on A can be almost negligible. (orig.). With 7 figs.

99

CFD simulation of heat transfer at surfaces of bluff bodies in turbulent boundary layers: Evaluation of a forced-convective temperature wall function for mixed convection  

Accurate predictions of convective heat transfer are essential in building-engineering and environmental studies on urban heat islands, building energy performance, (natural) building and inter-building ventilation and building-envelope durability and conservation. In computational fluid dynamics (CFD) studies of these applications, wall functions are mostly used to model the boundary-layer region. Recently, an adjusted wall function for temperature (CWF) has been proposed (Defraeye et al., 2011a). This CWF was intended for forced-convective heat transfer at surfaces of bluff bodies, such as buildings in the atmospheric boundary layer (ABL). This CWF provides increased (wall-function) accuracy for convective heat transfer predictions and can be easily implemented in existing CFD codes. As ...

100

Laminar combined convection heat transfer of liquid sodium flowing through a single horizontal row of cooling tubes in the direction of gravity  

The laminar combined convection heat transfer of the liquid sodium which flows through a single horizontal row of cooling tubes in the direction of gravity are studied using numerical analysis. The heat transfer characteristics at large Reynolds numbers are improved when Richardson numbers (=Gr/Re{sup 2}) are increased and the improvement rate is enlarged with an increase in p/d value. The temperature field at small Reynolds numbers does not exhibit much change even when the Richardson number reaches a high value. Consequently the Nusselt numbers do not differ from those of forced convection. In other words, in a decay heat removal system at a low velocity, there is a possibility that an improvement in the heat transfer characteristics by combined convection cannot be expected even in a system with a large Richardson number. (orig.).

 
 
 
 
101

EFFECT OF Al2O3-WATER NANOFLUIDS IN CONVECTIVE HEAT TRANSFER  

Nanofluids are suspensions of metallic or nonmetallic nanopowders in base liquid and can be employed to increase heat transfer rate in various applications. In this work turbulent flow forced convection heat transfer of Al2O3-water nanofluid inside an annular tube with variable wall temperature was investigated experimentally. The Nusselt numbers of nanofluid were obtained for various heat flux, Reynolds numbers and nanoparticle concentrations at atmospheric pressure. The addition of nanoparticle in water enhances heat transfer coefficient and enhancement increases with increase in the nanoparticle concentration, heat flux and flow rate. Experimental results emphasize the enhancement of heat transfer due to the nanoparticle presence in the fluid.

102

Analysis of mixed convection melting of a pure metal  

A computational methodology for simulating mixed convection melting of a pure substance is presented. The mathematical model employs a stream function-vorticity-temperature formulation in conjunction with a time-variant mesh. Unlike most transformed grid techniques, the position of the phase front is determined implicitly on application of the Stefan condition. The model is then applied to the melting of a pure metal, gallium, for forced to free convection-dominated heat transfer. Results indicate that according to the relative intensity of buoyancy and inertia forces, the movement and the shape of the solid-liquid interface are considerably perturbed.

103

Alternatives for metal hydride storage bed heating and cooling  

The reaction of hydrogen isotopes with the storage bed hydride material is exothermic during absorption and endothermic during desorption. Therefore, storage bed operation requires a cooling system to remove heat during absorption, and a heating system to add the heat needed for desorption. Three storage bed designs and their associated methods of heating and cooling and accountability are presented within. The first design is the current RTF (Replacement Tritium Facility) nitrogen heating and cooling system. The second design uses natural convection cooling with ambient glove box nitrogen and electrical resistance for heating. This design is referred to as the Naturally Cooled/Electrically Heated (NCEH) design. The third design uses forced convection cooling with ambient glove box nitrogen and electrical resistance for heating. The design is referred to as the Forced Convection Cooled/Electrically Heated (FCCEH) design. In this report the operation, storage bed design, and equipment required for heating, cooling, and accountability of each design are described. The advantages and disadvantages of each design are listed and discussed. Based on the information presented within, it is recommended that the NCEH design be selected for further development.

104

Heterogeneous nanofluids: natural convection heat transfer enhancement.  

ABSTRACT: Convective heat transfer using different nanofluid types is investigated. The domain is differentially heated and nanofluids are treated as heterogeneous mixtures with weak solutal diffusivity and possible Soret separation. Owing to the pronounced Soret effect of these materials in combination with a considerable solutal expansion, the resulting solutal buoyancy forces could be significant and interact with the initial thermal convection. A modified formulation taking into account the thermal conductivity, viscosity versus nanofluids type and concentration and the spatial heterogeneous concentration induced by the Soret effect is presented. The obtained results, by solving numerically the full governing equations, are found to be in good agreement with the developed solution based on the scale analysis approach. The resulting convective flows are found to be dependent on the local particle concentration ? and the corresponding solutal to thermal buoyancy ratio N. The induced nanofluid heterogeneity showed a significant heat transfer modification. The heat transfer in natural convection increases with nanoparticle concentration but remains less than the enhancement previously underlined in forced convection case. PMID:21711755

105

Heterogeneous nanofluids: natural convection heat transfer enhancement  

Convective heat transfer using different nanofluid types is investigated. The domain is differentially heated and nanofluids are treated as heterogeneous mixtures with weak solutal diffusivity and possible Soret separation. Owing to the pronounced Soret effect of these materials in combination with a considerable solutal expansion, the resulting solutal buoyancy forces could be significant and interact with the initial thermal convection. A modified formulation taking into account the thermal conductivity, viscosity versus nanofluids type and concentration and the spatial heterogeneous concentration induced by the Soret effect is presented. The obtained results, by solving numerically the full governing equations, are found to be in good agreement with the developed solution based on the scale analysis approach. The resulting convective flows are found to be dependent on the local particle concentration ? and the corresponding solutal to thermal buoyancy ratio N. The induced nanofluid heterogeneity showed a significant heat transfer modification. The heat transfer in natural convection increases with nanoparticle concentration but remains less than the enhancement previously underlined in forced convection case.

106

Numerical modeling of some engineering heat transfer problems  

Engineering heat transfer problems are very often of a complex nature and most often no analytical solutions exist. One way to create solutions to such problems is to apply numerical methods. This study concerns heat transfer problems with coupled conduction, convection and thermal radiation. Five important but different engineering problems are considered. (1) The transient temperature distribution in a rotating cylinder which is exposed to a time varying incident heat flux, e.g. a nuclear burst, is determined. The cylinder is cooled by mixed convection and thermal radiation. The effects of the leading parameters, such as rotation speed, the cooling parameters and the physical properties of the shell are studied. (2) The cooling of a roll system which is transporting/casting a thin hot plastic film. The leading roll is heated by the hot film, cooled at the interior by forced convection and on the outside by forced convection, thermal radiation and contact with a support roll. The influence of the cooling parameters and the rotation are studied. (3) The heat and mass diffusion in pre-insulated district heating/cooling pipes. The task is to determine the effects of the gas mass transport through the casing of the pipes on the thermal behaviour and effects of condensed water due to the mass diffusion of water vapour. The importance of the density of the casing, the wall thickness of the casing, the thickness of the insulation and the surrounding temperature is revealed. (4) The development of a cooling system for an electrical unit in which a time dependent heat is generated due to the Joule effect. (5) The heat transfer from a rectangular fin in a confined space. The fin is cooled by turbulent forced convection. The turbulence model applied is a low Reynolds k-{epsilon}-model. Predicted results are compared with experimental ones, and a correlation for the Nusselt number is proposed. The effects of thermal radiation for non-participating as well as participating media are considered 49 refs, 10 figs

107

Mixed convective heat transfer for fluid flowing through annular porous medium  

The study of the transport phenomena in porous media provides the fundamentals for various branches of science and engineering. The transport phenomena in porous media has critical significance in a variety of practical applications such as agriculture, chemical, petroleum and power engineering, and environmental and material science. The authors have reported currently on the research on the fluid flow and convective heat transfer in porous media. The entrance and non-Darcy`s effects on the forced and mixed convective heat transfer were studied experimentally for air, water and transformer-oil flowing through a vertical annulus packed with porous media beads of different sizes. The results are reported and discussed here briefly.

108

Thermal hydraulic calculation in a passive residual heat removal system of the SMART-P plant for forced and natural convection conditions  

An investigation of the thermal hydraulic characteristics in the passive residual heat removal system of the System integrated Modular Advanced ReacTor-P (SMART-P) has been carried out using the MARS code, which is a best estimate system analysis code. The SMART-P is designed to cool the system during accidental conditions by a natural convection. The dominant heat transfer in the steam generator is a boiling mode under a forced convection condition, and it is a single-phase liquid and a boiling heat transfer under a natural convection condition. Most of the heat is removed in the heat exchanger of the passive residual heat removal system by a condensation heat transfer. The passive residual heat removal system can remove the energy from the primary side as long as the heat exchanger is submerged in the refueling water tank. The mass flow is stable under a natural circulation condition though it oscillates periodically with a small amplitude. The parameter study is performed by considering the effects of an effective height between the steam generator and the heat exchanger, a hydraulic resistance, an initial pressure, a non-condensable gas fraction in the compensating tank, and a valve actuation time, which are useful for the design of the passive residual heat removal system. The mass flow in the passive residual heat removal system has been affected by the height between the steam generator and the heat exchanger, and the hydraulic resistance of the loop.

109

Conjugate heat transfer characterization in cooling channels  

Cooling technology of gas turbine blades, primarily ensured via internal forced convection, is aimed towards withdrawing thermal energy from the airfoil. To promote heat exchange, the walls of internal cooling passages are lined with repeated geometrical flow disturbance elements and surface non-uniformities. Raising the heat transfer at the expense of increased pressure loss; the goal is to obtain the highest possible cooling effectiveness at the lowest possible pressure drop penalty. The cooling channel heat transfer problem involves convection in the fluid domain and conduction in the solid. This coupled behavior is known as conjugate heat transfer. This experimental study models the effects of conduction coupling on convective heat transfer by applying iso-heat-flux boundary condition at the external side of a scaled serpentine passage. Investigations involve local temperature measurements performed by Infrared Thermography over flat and ribbed slab configurations. Nusselt number distributions along the wetted surface are obtained by means of heat flux distributions, computed from an energy balance within the metal domain. For the flat plate experiments, the effect of conjugate boundary condition on heat transfer is estimated to be in the order of 3%. In the ribbed channel case, the normalized Nusselt number distributions are compared with the basic flow features. Contrasting the findings with other conjugate and convective iso-heat-flux literature, a high degree of overall correlation is evident.

110

The action of neutrino ponderomotive force on Supernova dynamics  

Collective interactions of a beam of neutrinos/antineutrinos traversing a dense plasma of electrons/positrons, protons and neutrons are studied with particular reference to the case of a Supernova. We find that the ponderomotive force exerted by neutrinos gives an important contribution to the revival of the shock for a successful Supernova explosion. The role of the magnetic field in the new heating mechanism is pointed out, as well as new types of convection induced by the ponderomotive force itself.

111

Free convection in the Matian atmosphere  

The 'free convective' regime for the Martian atmospheric boundary layer (ABL) was investigated. This state occurs when the mean windspeed at the top of the ABL drops below some critical value U(sub c) and positive buoyant forces are present. Such forces can arise either from vertical temperature or water vapor gradients across the atmospheric surface layer. During free convection, buoyant forces drive narrow plumes that ascend to the inversion height with a return circulation consisting of broad slower-moving downdraughts. Horizontal pressure, temperature, windspeed, and water vapor fluctuations resulting form this circulation pattern can be quite large adjacent to the ground (within the surface layer). The local turbulent fluctuations cause non-zero mean surface stresses, sensible heat fluxes, and latent heat fluxes, even when the mean regional windspeed is zero. Although motions above the surface layer are insensitive to the nature of the surface, the sensible and latent heat fluxes are primarily controlled by processes within the interfacial sublayer immediately adjacent to the ground during free convection. Thus the distinction between aerodynamically smooth and rough airflow within the interfacial sublayer is more important than for the more typical situation where the mean regional windspeed is greater than U(sub c). Buoyant forces associated with water vapor gradients are particularly large on Mars at low pressures and high temperatures when the surface relative humidity is 100 percent, enhancing the likelihood of free convection under these conditions. On this basis, Ingersol postulated the evaporative heat losses from an icy surface on Mars at 237 K and current pressures would exceed the available net radiative flux at the surface, thus prohibiting ice from melting at low atmospheric pressures. Schumann has developed equations describing the horizontal fluctuations and mean vertical gradients occurring during free convection. Schumann's model was generalized to include convection driven by water vapor gradients and to include the effects of circulation above both aerodynamically smooth and rough surfaces.

112

Large-scale flow structures and heat transport of turbulent forced and mixed convection in a closed rectangular cavity  

Highlights: > Superposition of forced and thermal convection is studied in a rectangular cavity. > For pure forced convection the mean wind exhibits a solid body rotation. > Four buoyancy induced convection rolls are formed for mixed convection at Ar {approx} 3.3. > The enthalpy flux difference between out- and inflowing air has a maximum at Ar {approx} 0.6. - Abstract: Results of an experimental study of flow structure formation and heat transport in turbulent forced and mixed convection are presented. The experiments were conducted in a rectangular cavity with a square cross section, which has an aspect ratio between length and height of {Gamma}{sub xz} = 5. Air at atmospheric pressure was used as working fluid. The air inflow was supplied through a slot below the ceiling, while exhausting was provided by another slot, which is located directly above the floor. Both vents extend over the whole length of the cell. In order to induce thermal convection the bottom of the cell is heated while the ceiling is maintained at a constant temperature. This configuration allows to generate and study mixed convection under well defined conditions. Results of forced convection at Re = 1.07 x 10{sup 4} as well as mixed convection at 1.01 x 10{sup 4} {<=} Re {<=} 3.4 x 10{sup 4} and Ra = 2.4 x 10{sup 8} (3.3 {>=} Ar {>=} 0.3), which were obtained by means of Particle Image Velocimetry and local temperature measurements, are presented. For purely forced convection a 2D mean wind, which can be approximated by a solid body rotation, is found. With increasing Archimedes number this structure becomes unstable, leading to a transition of the solid body rotation into additional smaller convection rolls. Proper orthogonal decomposition of the instantaneous velocity fields has been performed for further analysis of these coherent large-scale structures. Their fingerprint is found in the spatial temperature distribution of the out flowing air at the end of the outlet channel, which reveals a temporally stable profile with two maxima over the length of the outlet. Moreover a maximum in the global enthalpy transport by the fluid is found at Ar {approx} 0.6.

113

Effect of forced oscillation at the channel entrance for enhanced cooling of components in electronic circuit pack channels  

An experimental investigation was conducted to study the effect of forced oscillation of the fluid entering an electronic circuit pack channel on component cooling. A realistic air cooled channel made of two vertically mounted circuit packs containing nine components each was employed. The experimental setup consisted of a channel with heated protrusions on one wall and a blade attached to a mechanical shaker at the inlet. Both natural and forced convection cooling were considered. The incoming fluid at the channel inlet was forced to oscillate at low frequencies. The results showed that forced oscillation improved component flow exposure and resulted in enhanced cooling of up to 15 percent in forced convection cases. Several parameters such as angle of shaker blade, channel height, and inlet velocity were examined and their contributions are highlighted.

114

Theoretical Design of Thermosyphon for Process Heat Transfer from NGNP to Hydrogen Plant  

The Next Generation Nuclear Plant (NGNP) will most likely produce electricity and process heat, with both being considered for hydrogen production. To capture nuclear process heat, and transport it to a distant industrial facility requires a high temperature system of heat exchangers, pumps and/or compressors. The heat transfer system is particularly challenging not only due to the elevated temperatures (up to ~ 1300K) and industrial scale power transport (=50 MW), but also due to a potentially large separation distance between the nuclear and industrial plants (100+m) dictated by safety and licensing mandates. The work reported here is the preliminary analysis of two-phase thermosyphon heat transfer performance with alkali metals. A thermosyphon is a device for transporting heat from one point to another with quite extraordinary properties. In contrast to single-phased forced convective heat transfer via ‘pumping a fluid’, a thermosyphon (also called a wickless heat pipe) transfers heat through the vaporization / condensing process. The condensate is further returned to the hot source by gravity, i.e. without any requirement of pumps or compressors. With this mode of heat transfer, the thermosyphon has the capability to transport heat at high rates over appreciable distances, virtually isothermally and without any requirement for external pumping devices. Two-phase heat transfer by a thermosyphon has the advantage of high enthalpy transport that includes the sensible heat of the liquid, the latent heat of vaporization, and vapor superheat. In contrast, single-phase forced convection transports only the sensible heat of the fluid. Additionally, vapor-phase velocities within a thermosyphon are much greater than single-phase liquid velocities within a forced convective loop. Thermosyphon performance can be limited by the sonic limit (choking) or vapor flow and/or by condensate entrainment. Proper thermosyphon requires analysis of both.

115

Fluid Flow and Thermal Characteristics of a Minichannel Heat Sink with Impinging Air Flow  

In this study, impingement air cooling mode of forced convection is adopted for heat dissipation from high power electronic devices in association with a parallel fin heat sink. Components of airflow velocity in channel of the extended surfaces are presented and discussed. Pressure drop and other thermal performances are analyzed numerically by a C++ developed code based on finite differences schemes. Thermal and hydraulic characterization of heat sink under air-forced convection cooling condition are studied. The hydraulic parameters including velocity profiles, distribution of static pressure, and pressure drop through the heat sink are analyzed and presented schematically. Furthermore, the thermal characteristic of the aluminum approach of cooling is studied by utilizing the contours of...

116

Thermal performance of pin-fin heat sink subject in magnetic field inside rectangular channels  

Forced convective heat transfer and friction factor for air flowing inside rectangular horizontal duct over a set of pin-fins, is experimentally studied under uniform heat flux. Experiments are conducted with air subjected to a magnetic body force through a magnetic gradient field. Experiments are carried out for two different fin geometries. An experimental test loop equipped with the required measuring instruments is designed and constructed to assess the effects of magnetic field, mass flow rate, and applied heat flux on convection heat transfer process and pressure drop. The measurements of temperature, flow rate, applied voltage to the heater and pressure drop in the duct are recorded and manipulated to evaluate Nusselt number and friction factor. The obtained experimental results sho...

117

Numerical analysis of laminar forced convection with temperature-dependent thermal conductivity of nanofluids and thermal dispersion  

Nanofluids are promising heat transfer fluids due to their high thermal conductivity. In order to utilize nanofluids in practical applications, accurate prediction of forced convection heat transfer of nanofluids is necessary. In the first part of the present study, we consider the application of some classical correlations of forced convection heat transfer developed for the flow of pure fluids to the case of nanofluids by the use of nanofluid thermophysical properties. The results are compared with experimental data available in the literature, and it is shown that this approach underestimates the heat transfer enhancement. Furthermore, predictions of a recent correlation based on a thermal dispersion model are also examined, and good agreement with the experimental data is observed. The...

118

Characterization of working fluid in vertically mounted finned U-shape twin heat pipe for electronic cooling  

As part of the ongoing research on finned U-shape heat pipes for CPU cooling, the present work focuses on the characterization of working fluid in vertically oriented twin U-shape heat pipe, by taking into account the gravity of flow. Two-dimensional FE simulation is performed under natural and forced convection modes, by using ansys-flotran. The best heat input and coolant velocity for the simulations are determined experimentally, corresponding to the least thermal resistance. The wall temperatures at the evaporator, adiabatic and condenser sections, and the velocity and pressure distributions of vapor and liquid, are analyzed. The total heat input for minimum thermal resistance in both natural and forced convection is found to be 50W, and the coolant velocity is 3m/s. The predicted and ...

119

Aerosol Indirect Forcing of Deep Convective Storm Dynamics  

Aerosol indirect effects can influence a number of the dynamical aspects of deep convective storms through their impacts on the thermodynamical and radiative processes of such storms. Variations in the drop and ice crystal size distributions influence evaporation and melting rates and hence the intensity and dynamics of the storm-produced cold pool. Such aerosol-induced changes to the cold pool characteristics may influence the manner in which storm outflow boundaries interact, the frequency, organization and intensity of subsequent convection, and the longevity of the parent convection, especially in regions in which multiple convective storms develop simultaneously. Variations in the melting rate of ice species such as graupel and hail can also influence other dynamical features of organized deep convection such as rear inflow jet, which in turn has implications for squall line intensity and bowing. Variations in aerosol number concentrations can also impact the updraft strength through changes to latent heat release and condensate loading. Changes in the updraft strength are associated with changes in the convective mass flux, anvil thickness, and detrainment and subsidence rates. Such deviations in the anvil characteristics produce changes in the anvil radiative forcing with subsequent feedbacks to static stability and updraft modulation. Altering the detrainment and subsidence rates of deep convective systems may also influence the development of neighboring convective cells. It is thus apparent that enhanced aerosol concentrations may have significant effects not only on the storm of interest, but also on neighboring convective storms and secondary convective development through their influence on anvil and cold pool dynamics. The aerosol-induced cold pool and anvil feedbacks to storm intensity and longevity may vary significantly both in magnitude and sign, thus potentially offsetting one another. The results of several idealized cloud-resolving simulations designed to assess the impacts of aerosol-induced changes in cold pool and anvil forcing on storm intensity and longevity will be presented.

120

Conjugate-mode heat transfer from a module on the floor of a parallel-plate channel to forced convective air flow. Numerical prediction of thermal conductance; Heiko heiban ryuro no hekimen ni okareta module kara no kyosei tairyu kuki eno fukugo netsudentatsu. Netsu conductance no suchi kaiseki yosoku  

This paper is one in a series of reports on the experimental and numerical study of heat transfer from a module mounted on the floor of a parallel-plate channel to forced convective air flow. In this study a numerical analysis is performed to predict conjugate heat transfer in paths from the module through the module support and the floor to the air flow. The effect of the thermal wake originating from the module on heat transfer from the floor surface is captured by the adiabatic wall temperature function. Also serving as the basis of the analysis is the local heat transfer coefficient obtained and reported in the previous report. The two-dimensional heat conduction analysis with convective boundary condition provides temperature distributions of the floor and macroscopic thermal conductance values for heat transfer through the floor. The predictions are compared with the experimental data, and their good agreement is confirmed. 17 refs., 10 figs.

 
 
 
 
121

A fluid-like element for flow and heat convection problems  

Application of mixed order finite element method to solve the laminar flow and heat convection problems is presented in this study. Solutions in primitive variables are obtained using the T4/C3 mini element on unstructured grids. The T4/C3 element is an element with the fewest degrees of freedom which also meets the LBB condition. Meanwhile, with one extra node in the triangle element, the T4/C3 element is more capable to represent the realistic phenomena of flow and heat transfer by taking the central physical behavior of triangle into consideration. This numerical approach has been validated by the applications of two test cases: natural convection in a differentially heated square cavity and forced convection in a sudden expansion. The approach is then applied to predict the flow over a...

122

Double tube heat exchanger with novel enhancement: part I—flow development length and adiabatic friction factor  

The study is conducted to evaluate the flow characteristics in a double tube heat exchanger using two new and versatile enhancement configurations. The novelty is that they are usable in single phase forced convection, evaporation and condensation. Correlations are proposed for flow development length and friction factor for use in predicting fluid pumping power in thermal equipment as well as in subsequent heat transfer characterization of the surface.

123

Boundary-layer flow and heat transfer of non-Newtonian fluids in porous media  

Boundary-layer flow and heat transfer of non-Newtonian fluids in porous media are explored analytically. The local Nusselt number for forced and natural convection of non-Newtonian fluids in porous media on an isothermal semi-infinite plate is obtained as a function of the rheological parameters n and {Omega}. The results show that these parameters have a significant effect on the heat transfer rate and flow behavior. (author).

124

Forced convection in a parallel plate channel with asymmetric heating  

A Nusselt number, appropriate for forced convection in a channel bounded by two parallel plate walls heated asymmetrically, is introduced and evaluated for various velocity profiles, for either uniform heat flux or uniform temperature boundary conditions. It is shown that the value of this new Nusselt number is independent of the asymmetry if and only if the velocity profile is symmetric with respect to the midline of the channel. (author)

125

HEAT TRANSFER WITH LAMINAR FLOW IN A CONCENTRIC ANNULUS WITH PRESCRIBED WALL TEMPERATURES  

An analysis was performed to determine the heat-transfer characteristics for laminar forced-convection flow in a concentric annulus with prescribed surface temperatures. The temperatures of the inside and outside walls of the annulus are considered to be different. The temperature distributions were determined by utilizing the method of superposition. By way of illustration, numerical results for heat fluxes, mixing cup temperatures, and Nusselt numbers are presented graphically. (auth)

126

Mass and fans in attached sunspaces  

The effect of thermal storage mass on the performance of an attached sunspace is investigated for a particular design in Boston. Mass in the sunspace and in the adjoining building are compared. Performance is evaluated in terms of temperature conditions in the sunspace and delivery of useful solar heat to the adjoining building. The dependence of the results on the manner of heat delivery is studied. Both natural convection and fan-forced air flow are included.

127

Axial heat conduction effects in unsteady forced convection along a cylinder  

The aim of the present analysis is to study the effect of the axial heat conduction on the unsteady incompressible laminar forced convective heat transfer of liquid metals along an isothermal circular cylinder in longitudinal flow when the free-stream velocity varies arbitrarily with time. The partial differential equations involving three independent variables have been solved numerically using an implicit finite-difference scheme, The particular cases of the authors results have been compared with the results available in the literature.

128

Topographic forcing of supercritical convection in a porous medium ...  

Sep 1, 1981 ... Title: Topographic forcing of supercritical convection in a porous medium such ... that brackets pi, the natural wavenumber for convection in a porous slab with planar, ... Subject Terms: CONVECTIVE FLOW; EARTH CRUST; ...

129

Driving Force Variation in Weld Pool Affected by Current Density and Flow Velocity of Gas Tungsten Arc Welding  

In arc welding, Gas Tungsten Arc Welding (GTAW) is suitable when good quality and a good surface are required. However, the weld shape is shallow and wide. Furthermore, GTAW welding is slow and inefficient. A deep weld shape is necessary to increase the welding speed. The heat input from the arc and convection flow of the weld pool in formation of weld pool are important. The convection flow varies along with the driving force. Past research has indicated some relation between the driving force and arc characteristics. In this study, the driving force in the weld pool changes with the current density. Flow velocity is simulated, and this relativity is elucidated. The Lorentz force, drag force, and Marangoni effect are focused in driving forces. Consequently, the Lorentz force of the axial direction decreases in direct relation to the -0.60th power of current density near the cathode in the maximum force. This force in the center of the axial direction decreases in relation to the -0.62th power of the current density. In addition, the drag force increases in relation to the 1.70th power of the maximum flow velocity, and the Marangoni effect decreases in direct relation to the -0.20th power of the maximum flow velocity in the maximum force. The driving force is apparently dependent on the arc current density and flow velocity.

130

Laminar natural/mixed convection of high viscosity fluid in a square cavity  

A numerical study from the viewpoint of the relative magnitude of inertial to viscous effects have been carried out for laminar natural/mixed convections in a two-dimensional differentially heated square cavity. Results indicate that the natural/mixed convection can be divided into three flow regimes according to Rayleigh number: the boundary layer, the transition and the creeping motion regimes. For the boundary layer regime, the large Prandtl number leads to a reduction in both boundary layer thickness and characteristic velocity. The characteristic velocity is therefore proportional to {radical}(Gr/Pr). For the creeping motion regime, the characteristic velocity is proportional to Gr and independent on Pr, and the Nusselt number approaches 1. For the laminar mixed convection, the quantity measuring the relative importance of natural to forced convection is Gr/(Re{sup 2}Pr) for the boundary regime and Gr/Re for the creeping motion regime.

131

A Peclet number based analysis of mixed convection for lid-driven porous square cavities with various heating of bottom wall  

Mixed convection flows in a lid-driven square cavity filled with porous medium are studied numerically using penalty finite element analysis for uniform and non-uniform heating of bottom wall. The relevant parameters in the present study are Darcy number (Da=10^-^5-10^-^5), Grashof number (Gr=10^3-10^5), Prandtl number (Pr=0.026-10) and Reynolds number (Re=1-10^2). The influence of convection is analyzed with Peclet number (Pe=Re.Pr). It is observed that the temperature profiles are symmetric for low values of Pe or Pr even in the presence of asymmetric flow fields irrespective of Da. The flow distribution affects significantly temperature distributions at high Pe irrespective of Da. Effect of Peclet numbers have been further investigated for both natural convection and forced convection d...

132

Hydrodynamics, heat, and mass transfer associated with a droplet under simultaneous shearing, buoyancy, and thermocapillary actions  

Heat and mass transfer associated with a binary liquid droplet immersed in another liquid undergoing rectilinear motion including gravity-and surface tension-induced flows is numerically studied. A full spectral numerical scheme that combines the Galerkin and collocation techniques with orthogonal basis functions is used to solve the governing partial differential equations based on the stream function-vorticity formulation. A liquid-liquid system having similar properties is used as a model problem to illustrate the temporal behaviors of the flow, temperature, and concentration fields. The results indicate that significant differences could exist when the drop is subjected to simultaneous forced convection, free convection, and surface tension-induced convection. Parameters that have been found to control the convective processes are the Reynolds number, the Grashof number, and the Marangoni numbers.

133

Combined Laminar Mixed Convection and Surface Radiation using Asymptotic Computational Fluid Dynamics (ACFD)  

This paper reports the use of the technique of combining asymptotics with computational fluid dynamics (CFD), known as asymptotic computational fluid dynamics (ACFD), to handle the problem of combined laminar mixed convection and surface radiation from a two dimensional, differentially heated lid driven cavity. The fluid under consideration is air, which is radiatively transparent, and all the walls are assumed to be gray and diffuse and having the same hemispherical, total emissivity (?). The computations have been performed on FLUENT 6.2. The full radiation problem (i.e. all the walls are radiatively black corresponding to ? = 1) is first taken up and the method of “perturbing and blending” is used wherein, first, limiting solutions of natural and forced convection are perturbed, to obtain correlations for the weighted average convective Nusselt numbers for the full radiation case. These correlations are then blended suitably in order to obtain a composite correlation for the weighted average convective Nusselt number that is valid for the entire mixed convection range, i.e., 0 ? Ri ? ?. This correlation is then expanded in terms of ? to obtain an expression for the average convective Nusselt number that is valid for any ? in the range 0 ? ? ? 1. In so far as radiation heat transfer is concerned, using asymptotic arguments, a new weighted average radiation Nusselt number is defined such that this quantity can be expanded just in terms of ?. Hence, by the use of ACFD, the number of solutions required to obtain reasonably accurate correlations for both the convective and radiative heat transfer rates and hence the total heat transfer rate ( Nu total = Nu C + Nu R), is substantially reduced. More importantly, the correlations for convection and radiation are asymptotically correct at their ends. The effect of secondary variables like aspect ratio and the case of unequal wall emissivities can also be included without significant additional effort.

134

Infrasonic enhancement of heat transfer  

Claims have been made that infrasound can be used to significantly reduce electricity consumption in a convection heating process (up to 94%) in a convection heating process by enhancing the rate of heat transfer. In response to these claims, preliminary laboratory tests were performed to evaluate the electricity savings potential of infrasound. The results from the tests indicate that when infrasound is applied to steady air flow, the convection heat transfer is significantly increased. In certain conditions, the rate of heat transfer was double the rate in steady air flow. However, as the air flow rate was increased, the degree of heat transfer enhancement decreased; under steady flow conditions, infrasound can increase the rate of heat transfer by a factor of 2. The efficiency of the infrasound unit tested was very low (aproximately 0.04%), therefore it could not be used to reduce the total electricity consumption in a forced convection process. However, a more efficient method for generating the infrasound, if available, could achieve a net reduction in the electricity consumption. Recommendations are made for future research. 8 refs., 12 figs., 3 tabs.

135

Thermal management strategies for a 1 kWe stack of a high temperature proton exchange membrane fuel cell  

A proper thermal management strategy is needed to maintain uniform temperature distribution and derive optimal performance in high temperature proton exchange membrane fuel cells (HT-PEMFC). In HT-PEMFCs, more than half of the chemical energy is converted into thermal energy during the electrochemical generation of electrical power. We investigate the viability of three heat removal strategies: (a) using cooling plates through which cathode air is passed in excess of stoichiometric requirement for the purpose of heat removal, (b) using forced convection partly in conjunction with cooling plates, and (c) using forced convection alone for heat removal. Calculations, partly done using computational fluid dynamics simulations, for a 1 kWe HT-PEMFC stack, which is suitable for scooter type of t...

136

Comparison between single-phase and two-phases CFD modeling of laminar forced convection flow of nanofluids in a circular tube under constant heat flux  

In this article, forced convection heat transfer with laminar and developed flow for water-Al"2O"3 nanofluid inside a circular tube under constant heat flux from the wall was numerically investigated using computational fluid dynamics method. Both single and two-phase models are accomplished for either constant or temperature dependent properties. For this study nanofluids with size particles equal to 100nm and particle concentrations of 1 and 4wt% were used. It is observed that the nanoparticles when dispersed in base fluid such as water enhance the convective heat transfer coefficient. The Nusselt number and heat transfer coefficient of nanofluids were obtained for different nanoparticle concentrations and various Reynolds numbers. Heat transfer was enhanced by increasing the concentrati...

137

Effect of the error in determination of the heat transfer coefficient on the simulation data for heat and mass transfer  

In a rigorous way, nonstationary problems of convective heat transfer should be treated in the conjugate statement where the condition of conjugation of the heat transfer medium and the channel wall temperature fields at their interface is used [1?3]. However, the difficulties, such as lack, as a rule, of complete data on the distribution of turbulent momentum and heat transfer coefficients over the channel cross-section, inherent restrictions of the existing models of turbulence, and the geometrical complexity of the solution domain, force researchers to consider an alternative approach where the heat transfer from the moving gas medium to the channel walls is described by the Newton?Richman law [4]. In this case, the local coefficient of convective heat transfer is determined by well-kno...

138

The role of head tilt, hair and wind speed on forced convective heat loss through full-face motorcycle helmets: A thermal manikin study  

A thermal manikin headform was used to examine the effect of full-face motorcycle helmets on (primarily forced) convective heat loss under the following interventions: (i) a 30degree forward head tilt angle (six helmets), (ii) a wig installed between the headform and helmet (six helmets), and (iii) applied wind speeds ranging from 0-80kmh-1 (three helmets). In all interventions measurements were carried out for open and closed vents. The average convective heat loss was obtained from a steady state period under controlled ambient conditions. It was found that: (i) for many helmets a reduction in heat loss in the face section is found when tilting the head forward, (ii) the wig reduced the heat loss by a factor of 2, and (iii) heat loss is approximately linearly dependent on wind speed (0-8...

139

Effect of Heater Configurations on Transient Heat Transfer for Various Gases Flowing over a Twisted Heater  

Forced convection transient heat transfer coefficients were measured for helium gas and carbon dioxide gas flowing over a twisted heater due to exponentially increasing heat input. The twisted platinum ribbon with a thickness of 0.1 mm was used as test heater and heated by electric current. The heat generation rate was exponentially increased with a function of Q0exp(t/?). The gas flow velocities ranged from 1 to 10 m/s, the gas temperatures ranged from 313 to 353 K, and the periods of heat generation rate ranged from 46 ms to 17 s. The surface temperature difference and heat flux increase exponentially as the heat generation rate increases exponentially. Transient heat transfer coefficients increase with increasing gas flow velocity. The heater configuration of twisted heater in this study shows a large effect on the heat transfer coefficient. Empirical correlations for quasi-steady-state heat transfer were obtained based on the experimental data.   

140

Parabolic flight experiment `Convection in a Cylinder' -Interaction of 1g, 1.8g, micro-g and electro-hydrodynamic g periods  

In micro pumps, dosing systems, heat exchanger and transfer devices the flow control is realized by means of external impressed force fields. Here we focus on the enhancement of heat transfer in an annular cavity, if an electrohydrodynamic force field is set up. This synthetic force field is established with a high voltage potential between differentially heated inner and outer cylinders, filled with a dielectric insulating fluid. It acts comparable to thermal buoyancy forces induced by gravity. Sitte et al. (2001) performed quantitative parabolic flight experiments without determining critical values and finally reported a broken azimuthally symmetry due to the instability in a recent parabolic flight experiment (Sitte et al., 2003). With the experiment accomplishment in the 14th parabolic flight, first scenarios are realized in order to weigh the different influences of natural buoyancy coming from g and electro-hydrodynamic buoyancy coming from synthetic force fields, which were studied with numerical simulations by Smieszek et al. (2008). Specific experiment objective was the convection in an annular cavity with differentially heated inner and outer cylinders under the influence of the both buoyancy driven forces. By scaling the annulus width to approximate 5mm the initial outer cell radius for a first parabolic flight campaign was set to 10mm. The inner cylinder is made of aluminum and is heated with heating cartridges. The outer cylinder is made of glass. The gap in between is the experimental volume, which is filled with silicone oil and particles. With this a Laser light sheet illumination was set up. The inner cylinder, made of aluminum, is connected to a high-tension up to 10kV. The glass cylinder is coated with Indium-Tin-Oxide (ITO) inside, to make the glass conductive and is connected to ground. The central force field is introduced by applying a high voltage difference between the two cylinders. Convection was observed during the whole parabolic flight. Starting with convection modes in normal g, the boost into the parabola is coupled with increase up to 1.8g. Here the global fluid flow in boundary layers is amplified with a reduction of movement in the centre of the research cavity. Then during the µg period, where minor acceleration due to gravity leads to collapse of convection, it is the electro-hydrodynamic force which offers buoyancy. As the microgravity is a short term one, convection mode remains in transient states. Nevertheless during the successive slowing down of the aeroplane, which involves again the 1.8g period boundary layered convection mode arises again. It is planned to refly the experiment again, in order to trace the effective magnitude of synthetic force balancing the natural convection under microgravity. References B. Sitte, J. Immohr, O. Hinrichs, R. Maier, C. Egbers, H. Rath (2001), Rayleigh-Bénard Con-e vection in dielectrophoretic force field, 12th International Couette-Taylor Workshop, September 6-8, 2001, Evanston, IL USA B. Sitte, H.J. Rath (2003), Influence of the dielectrophoretic force on thermal convection, Experiments in Fluids 34, 24-27 M. Smieszek, O. Crumeyrolle, I. Mutabazi, C. Egbers (2008), Numerical simulation of thermo-convective instabilities of a dielectric liquid in a cylindrical annulus, 59th Int. Astronautical Congress (IAC) 29.09.-03.10., 2008, Glasgow, UK

 
 
 
 
141

Transition from mixed to forced convection for opposing vertical flows in liquid-saturated porous media  

Mixed-convection phenomena can occur within liquid-dominated geothermal reservoirs due to interactions of injected flows, or ground-water flows, with the buoyancy-induced fluid motion. This problem was studied experimentally and numerically for the case of opposing flows about a vertical heat source in a liquid-saturated porous medium. The ratio of the Rayleigh number (Ra) to the Peclet number (Pe) was identified as the nondimensional parameter which characterizes the relative influence of buoyancy-driven to pressure-gradient-driven fluid motion. The transition from mixed to forced convection was numerically determined to be (Ra/Pe) approx. = -0.5, where the minus sign denotes superimposed downflow. Agreement between measured and predicted thermal-field results showed that the finite-element code of Gartling and Hickox (1982 a,b) can be used to model low-temperature (single-phase) geothermal reservoirs throughout the natural, mixed, and forced convection regimes. 9 refs., 6 figs.

142

Thermal convective and rotational instability in dissipative magnetohydrodynamics  

The thermal convective and magnetorotational instability is investigated by means of magnetohydrodynamic equations including anisotropic viscosity and resistivity dissipative effects. Magnetic force lines are assumed to be initially isothermal and the heat is restricted to being primarily transported along the magnetic force lines. To obtain the analytic expressions for the growth rate and instability criteria, we neglect the cross-field resistivity by applying our result to the weakly ionized environment. Under this assumption, the general dispersion relation describing the local thermal convective and magnetorotational instability is derived. The effects on the dispersion relation due to anisotropic resistivity and viscosity are discussed. Both the resistivity and viscosity show stabilizing effect on the thermal convective and rotational instability but do not affect the instability criterion. The analytic expression governing the growth rate is presented for Prandtl number P{sub m}=1 case.

143

Millennial-scale trends in west Pacific warm pool hydrology since the Last Glacial Maximum  

Models and palaeoclimate data suggest that the tropical Pacific climate system plays a key part in the mechanisms underlying orbital-scale and abrupt climate change. Atmospheric convection over the western tropical Pacific is a major source of heat and moisture to extratropical regions, and may therefore influence the global climate response to a variety of forcing factors. The response of tropical Pacific convection to changes in global climate boundary conditions, abrupt climate changes and radiative forcing remains uncertain, however. Here we present three absolutely dated oxygen isotope records from stalagmites in northern Borneo that reflect changes in west Pacific warm pool hydrology over the past 27,000?years. Our results suggest that convection over the western tropical Pacif...

144

SCDAP/RELAP5 Modeling of Heat Transfer and Flow Losses in Lower Head Porous Debris  

Designs are described for implementing models for calculating the heat transfer and flow losses in porous debris in the lower head of a reactor vessel. The COUPLE model in SCDAP/RELAP5 represents both the porous and nonporous debris that results from core material slumping into the lower head. Currently, the COUPLE model has the capability to model convective and radiative heat transfer from the surfaces of nonporous debris in a detailed manner and to model only in a simplistic manner the heat transfer from porous debris. In order to advance beyond the simplistic modeling for porous debris, designs are developed for detailed calculations of heat transfer and flow losses in porous debris. Correlations are identified for convective heat transfer in porous debris for the following modes of heat transfer; (1) forced convection to liquid, (2) forced convection to gas, (3) nucleate boiling, (4) transition boiling, and (5) film boiling. Interphase heat transfer is modeled in an approximate manner. A design is also described for implementing a model of heat transfer by radiation from debris to the interstitial fluid. A design is described for implementation of models for flow losses and interphase drag in porous debris. Since the models for heat transfer and flow losses in porous debris in the lower head are designed for general application, a design is also described for implementation of these models to the analysis of porous debris in the core region. A test matrix is proposed for assessing the capability of the implemented models to calculate the heat transfer and flow losses in porous debris. The implementation of the models described in this report is expected to improve the COUPLE code calculation of the temperature distribution in porous debris and in the lower head that supports the debris. The implementation of these models is also expected to improve the calculation of the temperature and flow distribution in porous debris in the core region.

145

Heat transfers with solid-liquid state change; Transferts de chaleur avec changement d'etat solide-liquide  

The aim of this article is to take stock of todays knowledge about heat transfers with state change in a phase change material when both liquid and solid phases are in presence: 1 - fundamental aspects: phase change thermodynamics and kinetics, state change with pure conduction heat transfer, state change under forced flow, state change with conduction-natural convection coupling, solidification of multi-compound mixtures; 2 - system aspects: exchange concept (heat exchanges threw a wall, direct contact exchanges), examples of applications (fusion enthalpy heat storage, interface materials, direct induction in cold crucible, metal coating, core meltdown of a nuclear reactor, freezing in dispersed environments). (J.S.)

146

Mechanistic modeling of CHF in forced-convection subcooled boiling  

Because of the complexity of phenomena governing boiling heat transfer, the approach to solve practical problems has traditionally been based on experimental correlations rather than mechanistic models. The recent progress in computational fluid dynamics (CFD), combined with improved experimental techniques in two-phase flow and heat transfer, makes the use of rigorous physically-based models a realistic alternative to the current simplistic phenomenological approach. The objective of this paper is to present a new CFD model for critical heat flux (CHF) in low quality (in particular, in subcooled boiling) forced-convection flows in heated channels.

147

The principles of thermal sciences and their application to engineering  

This book presents an integrated approach to thermodynamics and heat transfer suitable for undergraduates on a number of courses. Topics covered include: the First Law of Thermodynamics, fundamentals and applications; the Second and Third Laws; thermodynamic cycles including the Carnot, Rankine and Otto Cycles; conduction of heat, under both steady and non-steady conditions; forced and natural convection of heat; radiation heat transfer; and introductory statistical thermodynamics. In addition there are many numerical examples throughout the text and at the end of each chapter. (author)

148

A complete heatline analysis on mixed convection within a square cavity: Effects of thermal boundary conditions via thermal aspect ratio  

In this article, numerical investigation is carried out for mixed convection heat transfer within square cavities for various thermal boundary conditions on bottom and side walls based on thermal aspect ratio (A). A penalty finite element analysis with bi-quadratic elements has been used to investigate the results in terms of isotherms, streamlines, heatlines and average Nusselt numbers for a wide range of parameters (1 @? Re@?100, 0.015 @? Pr@?10, 10^3 @? Gr@?10^5). A detailed analysis of flow pattern shows that natural convection or forced convection depends on both parameters: Ri (Ri = Gr/Re^2) and Pe (Pe = Re.Pr). Results indicate that, at low Pr (Pr = 0.015) with low Gr (Gr = 10^3), isotherms are decoupled with flow profile and conduction dominant heat transfer is observed irrespectiv...

149

Non-Darcy flow and axial conduction effects on forced convection in porous material filled pipes  

The effects of non-Darcy extensions and axial conduction on forced convective heat transfer in porous material filled pipes have been examined numerically employing successive accelerated replacement scheme. The non-Darcy extensions considered are classical convective terms, Forchheimer non-linear inertial terms and Brinkman viscous terms. Numerical results obtained indicate that inclusion of axial conduction leads to significant increase in local as well as average Nusselt number in the thermally developing region for Pe<100. Among the aforementioned non-Darcy extensions, inclusion of Brinkman viscous terms to Darcy flow model lead to qualitatively significant changes in the flow and heat transfer. Inclusion of classical convective and/or Forchheimer non-linear inertial terms to Brinkman extended Darcy flow model lead to a slight increase in local Nusselt number. When all the non-Darcy extensions are included, the local Nusselt numbers coincide with the local Nussel numbers obtained with Darcy-Forchheimer-Brinkman flow description. (orig.)

150

Conjugate conduction-convection heat transfer with a high-speed boundary layer  

A space-marching boundary-layer program has been extensively modified to model conjugate conduction-convection heat transfer for the case of co-flowing high-speed gas and liquid coolant. Solid body conduction is modeled as one-dimensional, constant property heat transfer. The coolant is modeled empirically as a bulk fluid with combined forced convection and subcooled nucleate boiling. The flow solver was modified to solve the group of conjugate boundary equations simultaneously and implicitly with the existing momentum and energy equations for the gas. The resulting conjugate conduction-convection program has been applied to analysis of failure of a backside water-cooled nozzle for a high enthalpy, supersonic wind tunnel. The computational results have been used to establish that the primary failure mode is nucleate-boiling burnout and to propose a numerical burnout limit applicable to the specific nozzle configuration. 22 refs.

151

Heat transfer in a radially rotating square duct fitted with in-line transverse ribs  

This paper describes an experimental study of heat transfer in a radially rotating square duct with two opposite walls fitted by transverse ribs. The manner in which rotation modifies the forced heat convection is considered for the case where the duct rotates about an axis perpendicular to the duct's axis of symmetry and the flow within is radially outward with particular reference to the design of a gas turbine rotor blade. A selection of experimental results illustrates the individual and interactive effects of Coriolis and centripetal buoyancy forces on heat transfer along the centerline of each rotating rib-roughened surface. A number of experimental-based observations are revealed those confirm the manner for which the Coriolis force and centripetal buoyancy interactively modify the heat transfer even if the rib associating flow phenomena persist when the through flow transverses the ribs. An empirical correlation based on theoretical consideration and experimental data, which is physically consistent, has been developed to permit the evaluation of interactive effects of rib-flows, convective inertial force, Coriolis force and centripetal buoyancy on heat transfer. (authors)

152

Measurement results of PCM climate ceilings; Meetresultaten PCM-klimaatplafonds  

The 'universal climate machine' is able to air-condition a building endlessly by itself through self-regulatory control. This is a PCM climate ceiling (PCM refers to Phase Change Materials) in which heat exchange takes place through radiation and free convection, but also through forced convection. [Dutch] De 'universele klimaatmachine' kan zelfregelend een gebouw eindeloos autarkisch klimatiseren. Het gaat hier om een PCM-klimaatplafond (PCM staat voor Phase Change Materials) waarbij de warmteoverdracht plaatsvindt door straling en vrije convectie, maar ook door gedwongen convectie.

153

From the internal combustion engine to the fuel cell; Du moteur a explosion a la pile a combustible  

The 2002 issue of the annual congress of the French society of thermal engineering (SFT) was organized by the laboratory of energy and of theoretical and applied mechanics (LEMTA-UMR 7563, CNRS-INPL-UHP, Nancy 1 univ.). The presentations compiled in these proceedings deal with: forced convection, transfers in jets, natural and mixed convection, transfers in two-phase media with or without phase change, transfers in porous media, drying, thermo-physical properties of fluids and materials, conduction, heat transfers at interfaces, contact resistances, inverse techniques, processing of thermal data, and thermal engineering of systems. (J.S.)

154

THERM3D -- A boundary element computer program for transient heat conduction problems  

The computer code THERM3D implements the direct boundary element method (BEM) to solve transient heat conduction problems in arbitrary three-dimensional domains. This particular implementation of the BEM avoids performing time-consuming domain integrations by approximating a ``generalized forcing function`` in the interior of the domain with the use of radial basis functions. An approximate particular solution is then constructed, and the original problem is transformed into a sequence of Laplace problems. The code is capable of handling a large variety of boundary conditions including isothermal, specified flux, convection, radiation, and combined convection and radiation conditions. The computer code is benchmarked by comparisons with analytic and finite element results.

155

Thermal-hydraulic aspects of flow inversion in a research reactor  

PARET, a neutronics and thermal-hydraulics computer code, has been modified to account for natural convection in a reactor core. The code was then used to analyze the flow inversion that occurs in a reactor with heat removal by forced convection in the downward direction after a pump failure. Typical results are shown for a number of parameters. Research reactors normally operating much above ten MW are predicted to experience nucleate boiling in the event of a flow inversion. Comparison with experimental results from the Belgian BR2 reactor indicated general agreement although nucleate boiling that was analytically predicted was not noted in the BR2 data.

156

A Study on the Performance Improvement of the Micromachined Convective Accelerometer  

A micromachined convective accelerometer is a recently developed device. Typical micromachined accelerometers use a solid proof mass for measuring acceleration. But a micromachined convective accelerometer does not use a solid proof mass. A micromachined convective accelerometer is composed of a heating resistor and temperature sensors. This device measures acceleration by using convective heat transfer phenomenon. Therefore characteristics of a micromachined convective accelerometer are different as compared with typical micromachined accelerometer. In this research, we analyze the convective accelerometer by using transient convective heat transfer analysis. Based on the results of a convective accelerometer, we propose a new model which has improved performance.

157

Research on heat transfer of two-phase dispersed flow in narrow annular channel  

Narrow channel heat transfer technique is a new developing heat transfer technique in recent years. As the temperature of droplet, steam and wall are decided by forced convection heat transfer between the steam and the wall, between the droplet and the wall, between the steam and the droplet and radiation heat transfer, which makes heat transfer mechanism of dispersed flow be difficultly interpretative. Dispersed flow in narrow annular channel is analyzed in the paper, investigating the influence of all kinds of heat transfer processes on dispersed flow, building annular channel dispersed flow model using thermodynamic non-equilibrium model. Calculation results show heat transfer is mainly controlled by heat transfer process between steam and wall. When temperature is low, radiation can be ignored on heat transfer coefficient calculation. The calculation of model can provide a reference for engineering application of steam generator, refrigeration system and so on.

158

Heat transfer to a supercritical hydrocarbon fuel with endothermic reaction.  

Supercritical fuel reforming is being studied as a technology for reducing emissions of industrial gas turbine engines. In this study, experiments were performed in a 2.67-mm-inside-diameter stainless steel tube with a heated length of 0.610 m for the purpose of investigating the characteristics of supercritical heat transfer with endothermic fuel reforming. Thermocouples were positioned along the tube both in the fluid stream and on the heated wall for local heat transfer measurements. Both heat transfer coefficients and endotherms were calculated from the measured results. State-of-the-art correlations for heat transfer were evaluated, and a correlation for supercritical heat transfer to hydrocarbon fuel has been developed. The results provide a basis for supercritical fuel heat-exchanger/reactor design and its practical applications, in an area that has received relatively little attention in the engineering literature, viz., supercritical forced convection heat transfer with endothermic chemical reaction.

159

SCDAP/RELAP5 Modeling of Heat Transfer and Flow Losses in Lower Head Porous Debris  

Designs are described for implementing models for calculating the heat transfer and flow losses in porous debris in the lower head of a reactor vessel. The COUPLE model in SCDAP/RELAP5 represents both the porous and nonporous debris that results from core material slumping into the lower head. Currently, the COUPLE model has the capability to model convective and radiative heat transfer from the surfaces of nonporous debris in a detailed manner and to model only in a simplistic manner the heat transfer from porous debris. In order to advance beyond the simplistic modeling for porous debris, designs are developed for detailed calculations of heat transfer and flow losses in porous debris. Correlations are identified for convective heat transfer in porous debris for the following modes of heat transfer; (1) forced convection to liquid, (2) forced convection to gas, (3) nucleate boiling, (4) transition boiling, and (5) film boiling. Interphase heat transfer is modeled in an approximate manner. Designs are described for models to calculate the flow losses and interphase drag of fluid flowing through the interstices of the porous debris, and to apply these variables in the momentum equations in the RELAP5 part of the code. Since the models for heat transfer and flow losses in porous debris in the lower head are designed for general application, a design is also described for implementation of these models to the analysis of porous debris in the core region. A test matrix is proposed for assessing the capability of the implemented models to calculate the heat transfer and flow losses in porous debris. The implementation of the models described in this report is expected to improve the COUPLE code calculation of the temperature distribution in porous debris and in the lower head that supports the debris. The implementation of these models is also expected to improve the calculation of the temperature and flow distribution in porous debris in the core region.

160

SCDAP/RELAP5 modeling of heat transfer and flow losses in lower head porous debris. Revision 1  

Designs are described for implementing models for calculating the heat transfer and flow losses in porous debris in the lower head of a reactor vessel. The COUPLE model in SCDAP/RELAP5 represents both the porous and nonporous debris that results from core material slumping into the lower head. Currently, the COUPLE model has the capability to model convective and radiative heat transfer from the surfaces of nonporous debris in a detailed manner and to model only in a simplistic manner the heat transfer from porous debris. In order to advance beyond the simplistic modeling for porous debris, designs are developed for detailed calculations of heat transfer and flow losses in porous debris. Correlations are identified for convective heat transfer in porous debris for the following modes of heat transfer; (1) forced convection to liquid, (2) forced convection to gas, (3) nucleate boiling, (4) transition boiling, and (5) film boiling. Interphase heat transfer is modeled in an approximate ma nner. Designs are described for models to calculate the flow losses and interphase drag of fluid flowing through the interstices of the porous debris, and to apply these variables in the momentum equations in the RELAP5 part of the code. Since the models for heat transfer and flow losses in porous debris in the lower head are designed for general application, a design is also described for implementation of these models to the analysis of porous debris in the core region. A test matrix is proposed for assessing the capability of the implemented models to calculate the heat transfer and flow losses in porous debris. The implementation of the models described in this report is expected to improve the COUPLE code calculation of the temperature distribution in porous debris and in the lower head that supports the debris. The implementation of these models is also expected to improve the calculation of the temperature and flow distribution in porous debris in the core region.

 
 
 
 
161

Flow and migration of nanoparticle in a single channel  

A numerical simulation based on a combined Euler and Lagrange method is investigated in this work to simulate the flow and migration of nanoparticles in a single channel. The motion of discrete nanoparticles is determined by the Lagrangian trajectory method based on the Newton's second law that includes the influence of the body force, various hydrodynamic forces, the Brownian motion and the thermophoresis force. The coupling of discrete particles with continuous flow is realized through the modification of the source term of the continuous equation. The results reveal the two-phase flow nature of nanoparticle suspensions and their implications to the convective heat transfer of nanofluids. (orig.)

162

Flow and migration of nanoparticle in a single channel  

A numerical simulation based on a combined Euler and Lagrange method is investigated in this work to simulate the flow and migration of nanoparticles in a single channel. The motion of discrete nanoparticles is determined by the Lagrangian trajectory method based on the Newton’s second law that includes the influence of the body force, various hydrodynamic forces, the Brownian motion and the thermophoresis force. The coupling of discrete particles with continuous flow is realized through the modification of the source term of the continuous equation. The results reveal the two-phase flow nature of nanoparticle suspensions and their implications to the convective heat transfer of nanofluids.

163

Scientific development of a massively parallel ocean climate model  

Experiments to investigate the sensitivity of global ocean circulation and its associated transports of heat and salt to proposed changes in high-latitude buoyancy forcing and wind forcing. An experiment was designed to improve the representation of water-mass production in areas of known deep-water formation. At the same time, almost all of the deep and abyssal regions of the world ocean were freed from earlier restoring to observed values of temperature and salinity. This convective forcing experiment has been run on the NCAR Y-MP/864 for three years of a planned five-year sensitivity study.

164

Scientific development of a massively parallel ocean climate model. Progress report for 1991--1992 and Continuing request, 1992--1993 to CHAMMP (Computer Hardware, Advanced Mathematics, Model Physics)  

Experiments to investigate the sensitivity of global ocean circulation and its associated transports of heat and salt to proposed changes in high-latitude buoyancy forcing and wind forcing. An experiment was designed to improve the representation of water-mass production in areas of known deep-water formation. At the same time, almost all of the deep and abyssal regions of the world ocean were freed from earlier restoring to observed values of temperature and salinity. This convective forcing experiment has been run on the NCAR Y-MP/864 for three years of a planned five-year sensitivity study.

165

Stability in convective flows  

This book presents the papers given at a conference on convection. Topics considered at the conference included convection simulation in metal solidification, the onset of convection in a porous medium with sidewall heat transfer, convection in enclosures at large Rayleigh numbers, and nonlinear disturbance growth and transition in natural convection flows.

166

Evaluation of alternative descriptions of PWR cladding corrosion behavior  

A statistical procedure has been used to evaluate several alternative descriptions of pressurized water reactor (PWR) cladding corrosion behavior, using an extensive database of Improved (low tin) Zr-4 cladding corrosion measurements from fuel irradiated in commercial PWRs. The in-reactor corrosion enhancement factors considered in the model development are based on a comprehensive review of the current literature for PWR cladding corrosion phenomenology and models. In addition, because prediction of PWR cladding corrosion behavior is very sensitive to the values used for the oxide surface temperatures, several models for the forced convection and sub-cooled nucleate boiling (SNB) coolant heat transfer under PWR conditions have also been evaluated. This evaluation determined that the choice of the forced convection heat transfer has the greatest impact on the ability to fit the data. In addition, the SNB heat transfer model used must account for a continuous transition from forced convection conditions to fully developed SNB conditions. With these choices for the heat transfer models, the evaluation determined that the significant in-reactor corrosion enhancement factors are related to the formation of a hydride rim at the cladding outer diameter, the coolant lithium concentration, and the fast neutron fluence (author) (ml)

167

Laser induced natural convection and thermophoresis  

The influence of axial laser volumetric heating and forced convection on the motion of aerosol particles in a vertical tube has been studied. The asymptotic case of constant wall temperature provides simple temperature and velocity profiles that determine the convection and thermophoretic motion of small aerosol particles. For the case in which the flow (in the absence of laser heating) is downward, the laser heating induces upward buoyant motion near the tube center. When the laser heating is taken to be constant (a small absorption limit), a velocity profile may be found that will minimize the distance over which particles are deposited on the wall. Such an observation may have some bearing on the manufacture of preforms from which optical fibers are drawn.

168

Conceptual thermal design of a 200-ATM, water cooled arc heater nozzle  

Thermal designs for a nozzle based on back-side water-cooling (BSWC) for a 200-atm and 2,800 Btu/lbm arc facility are presented. The designs must survive heat flux above 10,000 Btu/sq ft-sec. A critical heat flux (CHF) model was developed and accounts for velocity and curved-channel acceleration effects on subcooled forced-convection nucleate-boiling heat transfer. The CHF model is implemented in the AEDC Conjugate Conduction-Convection Program (CCCP) which solves simultaneously the gas and coolant-side momentum or energy equations along with the one-dimensional Fourier equation for solid body conduction. The CHF model is calibrated against AEDC HEAT-H1 nozzle failures and survivals, used to establish phenomenological trends, and then applied to identifying candidate 200-atm designs. The proposed designs are derivatives of an existing successful 100-atm design. It is suggested that additional technologies may have to be invoked.

169

Thermal insulation at ambient temperature. Physical bases; Isolation thermique a temperature ambiante. Bases physiques  

Modern insulating materials are in general light porous materials inside which heat transfer takes place by conduction and by radiant transfer. The basis studies of the operation of insulating materials have led to a better understanding of the heat and mass transfers by natural and forced convection and by radiant transfer in semitransparent porous environment. The influence of humidity, of thermal-migration and of the diffusion of interstitial gases (aging) have been studied too. This knowledge has permitted to model the operation of these insulating materials and to foresee their efficiency with respect to their thermo-physical properties and to their conditions of use. This dossier presents: 1 - the heat transfer mechanisms: basis hypotheses, conduction, natural convection, radiant heat transfer, application to fibrous materials, super-insulating materials (theoretical and experimental bases); 2 - efficiency of an insulating material and environmental factors: influence of humidity, thermal aging. (J.S.)

170

Comparison between one-dimensional uncoupled and convection-conduction conjugated approaches in finned surface heat transfer  

Abstract in english This work studies the forced convection problem in internal flow between concentric annular ducts, with radial fins at the internal tube surface. The finned surface heat transfer is analyzed by two different approaches. In the first one, it is assumed one-dimensional heat conduction along the internal tube wall and fins, with the convection heat transfer coefficient being a known parameter, determined by an uncoupled solution. In the other way, named conjugated approach, (more) the mathematical model (continuity, momentum, energy and K-epsilon equations) applied to tube annuli problem was numerically solved using finite element technique in a coupled formulation. At first time, a comparison was made between results obtained for the conjugated problem and experimental data, showing good agreement. Then, the temperature profiles under these two approaches were compared to each other to analyze the validity of the one-dimensional classical formulation that has been utilized in the heat exchanger design.

171

Experimental study of critical heat flux enhancement during forced convective flow boiling of nanofluid on a short heated surface  

Enhancements of nucleate boiling critical heat flux (CHF) using nanofluids in a pool boiling are well-known. Considering importance of flow boiling heat transfer in various practical applications, an experimental study on CHF enhancements of nanofluids under convective flow conditions was performed. A rectangular flow channel with 10-mm width and 5-mm height was used. A 10mm-diameter disk-type copper surface, heated by conduction heat transfer, was placed at the bottom surface of the flow channel as a test heater. Aqueous nanofluids with alumina nanoparticles at the concentration of 0.01% by volume were investigated. The experimental results showed that the nanofluid flow boiling CHF was distinctly enhanced under the forced convective flow conditions compared to that in pure water. Subsequ...

172

Operator splitting techniques for the numerical analysis of natural convection heat transfer  

Natural convection heat transfer in rectangular enclosures is an active research area, due to its significance for both fundamental interest and engineering applications such as thermal management of electronic components. In this present numerical study, combined conduction and natural convection have been analysed for one or two heat sources mounted on substrates in an enclosure. For one heat source, the substrate is mounted on a vertical wall, and for the case of two heat sources, the substrates are mounted vertically and horizontally. Buoyancy forces drive the fluid flow. The Picard method with a hybrid grid system is utilized to decouple between pressure and velocity components, resulting in componentwise splitting. Linear systems obtained via the Picard method have been solved by the...

173

Heat Transfer in Reciprocating Spiral Tube with Piston Cooling Application  

This paper describes a detailed experimental investigation of heat transfer in a reciprocating spiral tube with particular reference to the piston cooling application. The flow studied is turbulent upon entering the coils but transits into laminar in the further downstream of the coils. A selection of heat transfer measurements with which the physics of pulsating and buoyancy forces interactively affect the heat transfer along the inner and outer edges of the reciprocating coiled tube is illustrated. The pulsating force with buoyancy interaction causes the considerable heat transfer modifications from the static results. Although enhancing the buoyancy level improves heat transfer, the local Nusselt number in the reciprocating coils is initially impaired from the static value with weak reciprocation; but recovered at the higher level of pulsating force. This study focuses on the development of the experimental procedure that could lead to a physically consistent empirical correlation, which assists to evaluate the local heat transfer in the reciprocating coils by permitting the individual and interactive effects of centrifugal force, torsional force, pulsating force and reciprocating buoyancy on the forced convection to be quantified.   

174

Development of convective heat transfer correlations for common designs of solar dryer  

The knowledge of convective heat transfer coefficient hcpf (absorber plate to flowing air) is necessary to predict or evaluate thermal performance of any solar dryer. In order to determine hcpf, laboratory models of direct (cabinet), indirect and mixed mode solar dryer are designed and constructed to perform no-load steady state experiments for natural and forced air circulation. The dryers are operated under indoor simulation conditions for absorbed thermal energy and air flow rate for the range of 300-800W/m2 and 1-3m/s, respectively. Separate methods depending on mode of heat utilisation are proposed for determination of hcpf for different dryers. Correlations of hcpf in terms of dimensionless numbers are developed for each dryer operating under natural and forced convection. Levenberg-...

175

Flow boiling in microchannels and microgravity  

A critical review of the state of the art of research on internal forced convection boiling in microchannels and in microgravity conditions is the main object of the present paper. In many industrial applications, two-phase flows are used for heavy-duty and reliable cooling and heating processes. The boiling phenomena are essential for evaporator heat exchangers, even in a very small scales, such as for PC cooling, refrigerators, HVAC systems. Even if the study of boiling is a standard research since a century, there are many aspects which are still under discussion, especially for forced convection boiling in small tubes. As the present review is pointing out, some literature results are still incongruous, giving critical uncertainties to the design engineers. The use of non-dimensional p...

176

Heat transfer from an internal combustion (Otto-cycle) engine on the surface of Mars  

The cooling requirements for an average car sized engine (spark-ignition, V-6, four-stroke, naturally aspirated, about 200 kg, about 100 kW) were looked at for Mars. Several modes of cooling were considered, including forced convection, exhaust, radiation and closed loop systems. The primary goal was to determine the effect of the thinner Martian atmosphere on the cooling system. The results show that there was only a 6-percent difference in the cooling requirements. This difference was due mostly to the thinner atmosphere during forced convection and the heat capacity of the exhaust. A method using a single pass counter-flow heat exchanger is suggested to offset this difference in cooling requirements.

177

Linear stability of two-dimensional combined buoyant-thermocapillary flow in cylindrical liquid bridges  

The combined buoyant-thermocapillary flow in cylindrical liquid bridges of unit aspect ratio is calculated by a mixed finite-difference-Chebyshev-collocation method. Gravity is assumed to be parallel or antiparallel to the cylinder's axis. For dominating thermocapillarity the two-dimensional basic flow is unique at the onset of instability. It is shown that additional buoyant body forces act stabilizing on the axisymmetric flow in high Prandtl number fluids for both heating and cooling from below. For heating from below, the onset of time-dependent convection is delayed to higher Marangoni numbers than for cooling from below, in agreement with previously unexplained experimental findings. In the absence of thermocapillary effects two axisymmetric convective solutions bifurcate from the conducting basic state. This perfect pitchfork bifurcation is perturbed by weak thermocapillary forces. The linear stability of all three axisymmetric base states is investigated numerically for Pr=4, a Prandtl number typical for model experiments.

178

Influence of the Chimney Dimensions on the Heat Transfer of a Vertical Cylinder in a Duct  

A thermally insulated chimney attached to a vertical heated section induces an increase in the natural convection flow in the heated vertical cylinder and leads to a higher heat transfer rate. The flows in the chimney are originally driven by the natural convection. However its behavior is similar to the forced convective flows as the heated vertical cylinder is located in a duct or chimney and then the mass flow rate at every elevation should be the same. Heat transfer in the chimney depends on the dimensionless geometrical parameters (Fig. 1), such as the extension ratio (the total length of chimney system, L{sub t}, over the heated section length, L{sub h}), the expansion ratio (the diameter of chimney, D{sub t}, over the diameter of heated vertical cylinder, D{sub h}), the aspect ratio of cylinder (the length of cylinder, L{sub h}, over the diameter of cylinder, D{sub h}), and the location of cylinder in a duct (the top or bottom of chimney). Although some works have been done on the heat transfer in the chimney, arrangements detailed experimental investigations on the determination of the optimal location of the heated cylinder in the chimney are rare. And previous studies have been performed for extension ratio 1.0-5.0. This work investigated the influence on the chimney dimensions (entrance and exit length, and diameter) on the heat transfer of a vertical cylinder in a duct. The measured mass transfer rates for the natural convection of vertical cylinder in a duct were presented for Prandlt number 2,094, Rayleigh number 4.55x10{sup 9}, 5.79x10{sup 10}, and 1.69x10{sup 11}. Experiments were performed using a copper sulfate electroplating system to simulate heat transfer based upon the analogy concept

179

Improving the thermal performance of ventilation radiators ? The role of internal convection fins  

This paper deals with heat output optimization of a ventilation radiator by varying the distribution of vertical longitudinal convection fins. A ventilation radiator, which combines ventilation air supply and heat emission to the room, has a higher driving force on air in between the radiator panels compared to traditional radiators and can for this reason have more heat transferring surfaces to improve thermal efficiency. Improving the thermal efficiency means a lower water temperature is required for heating and energy can be saved in production and distribution of heat in systems with heat pumps, district heating or similar.The investigation was made using Computational Fluid Dynamics (CFD) simulations while analytical calculations were used for verification of different flow and heat t...

180

Collected papers in heat transfer 1988; Proceedings of the ASME Winter Annual Meeting, Chicago, IL, Nov. 27-Dec. 2, 1988. Volume 3  

Papers are presented on buoyant plumes in the environment, environmental heat transfer, measurements of heat transfer in biological tissue, and the use of heat transfer in space manufacturing. Individual papers are also presented discussing effective thermal conductivity in spherical particle packed beds, natural convection, laminar convection between parallel vertical plates, double diffusive convection, heat transfer of porous media, heat transfer in thermosiphons, radiation and convection in gray fluids, and an analytical solution to the Graetz problem for Newtonian fluids in circular ducts.

 
 
 
 
181

Millennial-scale trends in west Pacific warm pool hydrology since the Last Glacial Maximum.  

Models and palaeoclimate data suggest that the tropical Pacific climate system plays a key part in the mechanisms underlying orbital-scale and abrupt climate change. Atmospheric convection over the western tropical Pacific is a major source of heat and moisture to extratropical regions, and may therefore influence the global climate response to a variety of forcing factors. The response of tropical Pacific convection to changes in global climate boundary conditions, abrupt climate changes and radiative forcing remains uncertain, however. Here we present three absolutely dated oxygen isotope records from stalagmites in northern Borneo that reflect changes in west Pacific warm pool hydrology over the past 27,000 years. Our results suggest that convection over the western tropical Pacific weakened 18,000-20,000 years ago, as tropical Pacific and Antarctic temperatures began to rise during the early stages of deglaciation. Convective activity, as inferred from oxygen isotopes, reached a minimum during Heinrich event 1 (ref. 10), when the Atlantic meridional overturning circulation was weak, pointing to feedbacks between the strength of the overturning circulation and tropical Pacific hydrology. There is no evidence of the Younger Dryas event in the stalagmite records, however, suggesting that different mechanisms operated during these two abrupt deglacial climate events. During the Holocene epoch, convective activity appears to track changes in spring and autumn insolation, highlighting the sensitivity of tropical Pacific convection to external radiative forcing. Together, these findings demonstrate that the tropical Pacific hydrological cycle is sensitive to high-latitude climate processes in both hemispheres, as well as to external radiative forcing, and that it may have a central role in abrupt climate change events. PMID:17898765

182

A non-linear feedback in climate modeling associated with cumulus parameterizations  

A numerical experiment with the Los Alamos general circulation model reveals a marked sensitivity of stimulated climate to the treatment of cumulus convection. The diabatic heating produced by the cumulus parameterization not only directly affects the temperature field but also introduces a change of cloudiness which, in turn, alters radiative forcing to the temperature field. The wind fields are also affected through their thermodynamic relationship with temperature.

183

Cooling system for continuous metal casting machines  

A continuous metal caster cooling system is provided in which water is supplied in jets from a large number of small nozzles 19 against the inner surface of rim 13 at a temperature and with sufficient pressure that the velocity of the jets is sufficiently high that the mode of heat transfer is substantially by forced convection, the liquid being returned from the cooling chambers 30 through return pipes 25 distributed interstitially among the nozzles.

184

Construction and verification of a finite-element method for nonisothermal flows in porous media  

A Galerkin-based, finite element method is developed for numerically simulating nonisothermal flows in porous materials. The partial differential equations describing heat and mass transfer in a rigid porous matrix are described. Use of the finite element method to produce a computational procedure is outlined and solution procedures for the finite element equations are discussed. An experiment involving mixed free and forced convection is used to verify the accuracy of the numerical procedure.

185

INTEGRAL TRANSFORM SOLUTION FOR THE FORCED CONVECTION OF HERSCHEL-BULKLEY FLUIDS IN CIRCULAR TUBES AND PARALLEL-PLATES DUCTS  

Abstract in english The thermal entry region in laminar forced convection of Herschel-Bulkley fluids is solved analytically through the integral transform technique, for both circular and parallel-plates ducts, which are maintained at a prescribed wall temperature or at a prescribed wall heat flux. The local Nusselt numbers are obtained with high accuracy in both developing and fully-developed thermal regions, and critical comparisons with previously reported numerical results are performed.

186

Does ohmic heating influence the flow field in thin-layer electrodeposition?  

In thin-layer electrodeposition the dissipated electrical energy leads to a substantial heating of the ion solution. We measured the resulting temperature field by means of an infrared camera. The properties of the temperature field correspond closely with the development of the concentration field. In particular we find, that the thermal gradients at the electrodes act like a weak additional driving force to the convection rolls driven by concentration gradients.

187

Experimental investigation of forced-convection in a finned rhombic tube of the flat-plate solar collectors  

Due to scarcity of literature on forced-convection heat transfer in a solar collector with rhombic cross-section absorbing tubes, a series of experiments was arranged and conducted to determine heat transfer coefficient. In this study, a typical rhombic cross-section finned tube of flat-plate collectors used as the test section. Two correlations were proposed for the Nusselt number as a function of the Reynolds number and the Prandtl number based on hydraulic diameter for various heat fluxes. The temperature distribution along the finned tube for the fluid and the wall were also illustrated.

188

A review on nanofluids - part II: experiments and applications  

Abstract in english Research in convective heat transfer using suspensions of nanometer-sized solid particles in base liquids started only over the past decade. Recent investigations on nanofluids, as such suspensions are often called, indicate that the suspended nanoparticles markedly change the transport properties and heat transfer characteristics of the suspension. This second part of the review covers fluid flow and heat transfer characteristics of nanofluids in forced and free convecti (more) on flows and potential applications of nanofluids. Opportunities for future research are identified as well.

189

Numerical solution of staggered circular tubes in two-dimensional laminar forced convection  

Abstract in english This paper aims to demonstrate the importance of adequately estimating the discretization error intrinsic in the result of any numerical simulation. The problem under consideration is forced convection in a staggered circular tube heat exchanger. The problem is solved to analyze the effect of the distance between the tubes, aiming to optimize the heat exchanger?s geometrical configuration by two Reynolds numbers (50 and 100). The present work did not confirm the existenc (more) e of an optimal geometrical point for the operation of staggered circular tube heat exchangers, as claimed in a numerical study published in the literature.

190

Convection regime between canopy and air in a greenhouse/ Regime de convecção entre dossel e ar em casa de vegetação  

Abstract in portuguese O uso de coberturas em ambientes protegidos altera a movimentação de ar próximo do dossel da cultura, comparado com o ambiente externo, modificando os processos de trocas de calor e massa entre dossel e ar. Muitos trabalhos realizados em casas de vegetação têm estimado os fluxos de calor latente e sensível com emprego de números adimensionais caracterizadores do tipo de regime convectivo. O conhecimento do tipo de regime predominante (forçado, livre ou misto) per (more) mite simplificações e abordagens mais específicas para estimativa destes fluxos. No presente trabalho, foi determinado o tipo de regime convectivo predominante entre dossel e ar, em uma casa de vegetação em arco, com ventilação natural com a cultura do pimentão amarelo. Na maior parte do tempo (>70%) houve predominância da convecção forçada. Durante o dia, foi observado um pequeno aumento da convecção mista, sendo interessante para este período o uso de modelos que contemplem tanto a convecção mista quanto a forçada no estudo das trocas de calor e de massa entre dossel e ar. Abstract in english The use of covering materials in protected environments modifies the air movement close to the crop canopy compared to external environment, which changes the heat and mass transfer between canopy and air. Several researches have been made in greenhouses to estimate mass and heat flux using dimensionless numbers to characterize the type of convection (forced, free or mixed). The knowledge of which one is dominant allows simplifications and specific approaches. The dominan (more) t convection regime between canopy and air was determined in a naturally ventilated greenhouse cropped with sweet pepper. Forced convection was predominant, representing more than 70% of the time. During daytime, an increase of mixed convection was observed. It is thus appropriated the use of models that include both forced and mixed convection in the studies of mass and heat exchanges in canopy - air interface.

191

Compilation of proposals for boiling and evaporation experiments in space environments and proposals concerning experiment projects  

An overview of the results of the compilation of proposals for boiling and vaporization experiments in the space environment and experiment plans is presented. The results of boiling an vaporization experiment in space proposal compilation, proposals on the experiments, and items to be considered in conducting the experiments are outlined. In utilizing boiling heat transmission in space, some kinds of forced flow patterns are necessary. Items which must be made clear in boiling phenomena in microgravity are as follows: (1) developed nuclear boiling heat transmission and burnout thermal flux; (2) boiling and vaporization heat transmission when convection effects are not so large due to comparatively low flow rate; and (3) unstable boiling phenomena such as flushing. The following activities are deemed necessary to boil down the experiment projects: (1) equipment requiring forced heat rejection and its structure; (2) thermal conditions; (3) appropriate working fluid; and (4) appropriate heat transmission.

192

Direct numerical simulation of convective heat transfer in a zero-pressure- gradient boundary layer with supercritical water  

Experimental research has long shown that forced-convective heat transfer in wall-bounded turbulent flows of fluids in the supercritical thermodynamic state is not accurately predicted by correlations that have been developed for single-phase fluids in the subcritical thermodynamic state. In the present computational study, the statistical properties of turbulent flow as well as the development of coherent flow structures in a zero-pressure-gradient flat-plate boundary layer are investigated in the absence of body forces, where the working fluid is in the supercritical thermodynamic state. The simulated boundary layers are developed to a friction Reynolds number of 250 for two heat-flux to mass-flux ratios corresponding to cases where normal heat transfer and improved heat transfer are observed. In the case where improved heat transfer is observed, spanwise spacing of the near-wall coherent flow structures is reduced due to a relatively less stable flow environment resulting from the lower magnitudes of the wall-normal viscosity-gradient profile.

193

Effect of the error in determination of the heat transfer coefficient on the simulation data for heat and mass transfer  

In a rigorous way, nonstationary problems of convective heat transfer should be treated in the conjugate statement where the condition of conjugation of the heat transfer medium and the channel wall temperature fields at their interface is used [1-3]. However, the difficulties, such as lack, as a rule, of complete data on the distribution of turbulent momentum and heat transfer coefficients over the channel cross-section, inherent restrictions of the existing models of turbulence, and the geometrical complexity of the solution domain, force researchers to consider an alternative approach where the heat transfer from the moving gas medium to the channel walls is described by the Newton-Richman law [4]. In this case, the local coefficient of convective heat transfer is determined by well-known criterial experimental relations, which are valid for a steady flow of the heat carrier [4, 5]. This simplified approach cannot be rigorously substantiated by invoking the quasistationarity principle or by introducing correction factors, and comparison of numerical and experimental data for evaluating the calculation accuracy is not always possible. An attempt is made to determine the domain of applicability of the simplified approach by evaluating the effect of the error that arises in the estimation of the heat transfer coefficient on the parameters of a convective flow.

194

Notions of convection heat transfer; Notions de transfert thermique par convection  

The concept of convection covers the description of the velocity and temperature fields of homogenous and isotropic fluids. This concept excludes: the two-phase transfers and flows, the fluidized beds, the transfers in complex fluids, and the transfers inside porous media. Basically, the equations of convection are the equations of fluid mechanics applied to a conduction problem in a deformable environment. The resolution of these equations is in general complex and requires the use of iterative calculus. This article treats of the resolution of these equations in different flow conditions: 1 - introduction; 2 - general considerations (equations, hypotheses); 3 - stationariness, boundary conditions, Newton's hypothesis and mixing temperature; 4 - implementation of Newton's hypothesis (characteristic temperature, non-dimensioning and characteristic numbers); 5 - similarity limits and Nusselt number (irreducible classes in forced and natural convection, expressions of the Nusselt number); 6 - numerical expressions of the Nusselt number (external and internal forced, natural and mixed convection). Three appendixes about the heat transfer equation in a deformable medium, about the non-dimensioning method and about the particular case of convection inside liquid metals complete this analysis. (J.S.)

195

Natural Convection Cooling of the Advanced Stirling Radioisotope Generator Engineering Unit  

After fueling and prior to launch, the Advanced Stirling Radioisotope Generator (ASRG) will be stored for a period of time then moved to the launch pad for integration with the space probe and mounting on the launch vehicle. During this time, which could be as long as 3 years, the ASRG will operate continuously with heat rejected from the housing and fins. Typically, the generator will be cooled by forced convection using fans. During some of the ground operations, maintaining forced convection may add significant complexity, so allowing natural convection may simplify operations. A test was conducted on the ASRG Engineering Unit (EU) to quantify temperatures and operating parameters with natural convection only and determine if the EU could be safely operated in such an environment. The results show that with natural convection cooling the ASRG EU Stirling convertor pressure vessel temperatures and other parameters had significant margins while the EU was operated for several days in this configuration. Additionally, an update is provided on ASRG EU testing at NASA Glenn Research Center, where the ASRG EU has operated for over 16,000 hr and underwent extensive testing.

196

Performance investigation of a solar pond  

This work consists of both experimental and theoretical parts. In the experimental part, an insulated solar pond with a surface area of 4m{sup 2} and a depth of 1.5m was built at Cukurova University in Adana, Turkey to conduct performance experiments. The system was filled with salty water of various densities to form three salty water zones (upper convective, non-convective and heat storage). During the months of January, May and August, a data acquisition device was used to measure and record the temperature readings at various locations in the pond (distributed vertically within and at the bottom of the pond, and horizontally and vertically within the insulated side-walls). In the theoretical part, we developed a performance model to determine the thermal efficiencies of the pond and its various zones. Temperature difference was seen to be the key driving force in heat transfer, particularly in heat rejection. As expected, the highest thermal efficiency was obtained for August as follows: 4.5% for the upper convective zone, 13.8% for the non-convective zone and 28.1% for the heat storage zone, respectively. (author)

197

Theoretical and Experimental Studies on Transient Heat Transfer for Forced Convection Flow of Helium Gas over a Horizontal Cylinder  

Forced convection transient heat transfer for helium gas at various periods of exponential increase of heat input (Q0exp(t/?)) to a horizontal cylinder (heater) was theoretically and experimentally studied. In the theoretical study, transient heat transfer was numerically solved based on a turbulent flow model. It was clarified that the surface superheat and heat flux increase exponentially as the heat generation rate increases with the exponential function. The values of numerical solution for surface temperature and heat flux agree well with the experimental data for the cylinder diameter of 1mm. In the experimental studies, the authors measured heat flux, surface temperature, and transient heat transfer coefficients for forced convection flow of helium gas over horizontal cylinders under wide experimental conditions. The platinum cylinders with diameters of 1.0mm, 0.7mm, and 2.0mm were used as test heaters. The gas flow velocities ranged from 2 to 10m/s, and the periods ranged from 50ms to 15s. It was clarified that the heat transfer coefficient approaches the quasi-steady-state one for the period ? longer than about 1s, and it becomes higher for the period shorter than around 1s. The heat transfer shifts to the quasi-steady-state heat transfer for longer periods and shifts to the transient heat transfer for shorter periods. The transient heat transfer coefficients show significant dependence on cylinder diameters, there are higher for smaller cylinder diameters. The empirical correlations for quasi-steady-state heat transfer and transient heat transfer were obtained based on the experimental data.   

198

HIGH ACCELERATION FIELD HEAT TRANSFER FOR AUXILIARY SPACE NUCLEAR POWER SYSTEMS. 1961 . Quarterly Technical Report, December 1 through February 28, 1962  

BS>Research results on liquid metal heat and momentum transfer are presented. A review and summary of boiling heat transfer models found in the literature are presented; nucleate pool and film boiling models are examined, and a comparison of the various models is made. Several boiling heat transfer analyses are outlined. One analysis considers free convection film boiling from a vertical plate and the other describes forced convection film boiling in a pipe. Additional two-phase flow analyses conducted include turbulent-viscous pipe flow, turbulent-turbulent pipe flow, and viscous-viscous curvilinear channel flow. A number of preliminary two-phase, curvilinear flow experiments were completed in pipes containing helical guides. Information on flow patterns and phase separation was obtained using air and water. The results of studies on the Mollier Diagrams and physical properties of Hg and K are also included. (auth)

199

Field synergy principle in forced convection of plane Couette-Poiseuille flows with effect of thermal asymmetry  

The field synergy principle is employed to analyze convection heat transfer enhancement which can be achieved by reducing the included angle between the velocity vector and the temperature gradient (synergy angle). The present study is aimed to scrutinize the relationship of the synergy angle and the field synergy number with other pertinent parameters in forced convection of plane Couette-Poiseuille flows with asymmetric heat-flux wall boundary conditions. This type of problem arises in various engineering processes, such as in the operation of extruders and in various lubrication problems. The variation of the velocity vector is governed by the moving plate velocity while the temperature gradient is affected by both the moving plate velocity and the asymmetrical heat fluxes at the wall b...

200

Heat transfer and fluid flow during laser spot welding of 304 stainless steel  

The evolution of temperature and velocity fields during laser spot welding of 304 stainless steel was studied using a transient, heat transfer and fluid flow model based on the solution of the equations of conservation of mass, momentum and energy in the weld pool. The weld pool geometry, weld thermal cycles and various solidification parameters were calculated. The fusion zone geometry, calculated from the transient heat transfer and fluid flow model, was in good agreement with the corresponding experimentally measured values for various welding conditions. Dimensional analysis was used to understand the importance of heat transfer by conduction and convection and the roles of various driving forces for convection in the weld pool. During solidification, the mushy zone grew at a rapid rate and the maximum size of the mushy zone was reached when the pure liquid region vanished. The solidification rate of the mushy zone/liquid interface was shown to increase while the temperature gradient in the liquid zone at...

 
 
 
 
201

Model reduction by the Modal Identification Method in forced convection: Application to a heated flow over a backward-facing step  

This numerical study focuses on the use of the Modal Identification Method to build reduced models for problems of heat convection and diffusion. The principle is to minimize a cost function based on the difference between the outputs (velocity and/or temperature) of a detailed model and the outputs of a reduced one. The reduced model structure is defined from the partial differential equations governing fluid mechanics and heat transfer in the physical system. In this paper, an advection-diffusion problem is studied: forced heat convection is considered with an incompressible, stationary, laminar 2D flow. Physical properties of the fluid are temperature independent, hence velocity is independent of temperature. The system under consideration is a channel flow over a backward-facing step w...

202

Computational fluid dynamic and thermal analysis for BGA assembly during forced convection reflow soldering process  

Purpose - The purpose of this paper is to develop a thermal coupling method of a ball grid array (BGA) assembly during a forced convection reflow soldering process. Design/methodology/approach - The reflow oven was modeled in computational fluid dynamic (CFD) software (FLUENT 6.3.26) while the structural heating BGA package simulation was done using finite element method (FEM) software (ABAQUS 6.9). Both software applications were coupled bi-directionally using the code coupling software MpCCI. Findings - The convective heat transfer coefficient (h) simulated during the reflow process showed a sufficient view of the changing h in the BGA assembly of each reflow oven. The solder joints were found to experience phase change from solid to liquid during heating and liquid to solid during cooli...

203

Flow excursion-induced dryout at low heat flux natural convection boiling  

Flow excursion-induced dryout at low heat flux natural convection boiling, typical of liquid metal fast breeder reactors, is addressed. Steady-state calculations indicate that low-quality boiling is possible up to the point of the Ledinegg instability, leading to flow excursion and subsequent dryout in agreement with experimental data. A flow regime -dependent critical heat flux relationship based upon a saturated boiling criterion is also presented. Transient analyses indicate that premature flow excursion cannot be ruled out and the boiling process is transient dependent. Analysis of a loss-of-flow transient at high heat flux forced convection shows a significantly faster flow excursion leading to dryout, which is in excellent agreement with the results of the two-dimensional THORAX code.

204

Modeling and analysis of low heat flux natural convection sodium boiling in LMFBRs  

Flow excursion induced dryout at low heat flux natural convection boiling, typical of liquid metal fast breeder reactor, is addressed. Steady state calculations indicate that low quality boiling is possible up to the point of Ledinegg instability leading to flow excursion and subsequent dryout in agreement with experimental data. A flow regime-dependent dryout heat flux relationship based upon saturated boiling criterion is also presented. Transient analysis indicates that premature flow excursion can not be ruled out and sodium boiling is highly transient dependent. Analysis of a high heat flux forced convection, loss-of-flow transient shows a significantly faster flow excursion leading to dryout in excellent agreement with parallel calculations using the two-dimensional THORAX code. 31 refs., 25 figs., 6 tabs.

205

Flow-excursion-induced dryout at low-heat-flux  

Flow-excursion-induced dryout at low-heat-flux natural-convection boiling, typical of liquid-metal fast-breeder reactors, is addressed. Steady-state calculations indicate that low-quality boiling is possible up to the point of Ledinegg instability leading to flow excursion and subsequent dryout in agreement with experimental data. A flow-regime-dependent dryout heat flux relationship based upon saturated boiling criterion is also presented. Transient analysis indicates that premature flow excursion can not be ruled out and sodium boiling is highly transient dependent. Analysis of a high-heat-flux forced convection, loss-of-flow transient shows a significantly faster flow excursion leading to dryout in excellent agreement with parallel calculations using the two-dimensional THORAX code. 17 figures.

206

Sodium natural convection testing in the Thermal-Hydraulic Out-of-Reactor Safety (THORS) facility. [LMFBR  

A comparison is made between experimental data and analytical results for a single-phase natural convection test in an experimental sodium loop. The test was conducted in the Thermal-Hydraulic Out-of-Reactor Safety (THORS) facility, an engineering-scale high temperature sodium loop at the Oak Ridge National Laboratory (ORNL), used for thermal-hydraulic testing of simulated Liquid Metal Fast Breeder Reactor (LMFBR) subassemblies at normal and off-normal operating conditions. Electrical heating in the 19-pin assembly during the test was typical of decay heat levels. The test chosen for analysis in this paper was one of seven natural convection runs conducted in the facility. In this test the bypass line was open to simulate a parallel heated assembly and the test was begun with a pump coastdown from a small initial forced flow.

207

Hybrid formulation and solution for transient conjugated conduction-external convection  

This work presents a hybrid numerical-analytical solution for transient laminar forced convection over flat plates of non-negligible thickness, subjected to arbitrary time variations of applied wall heat flux at the fluid-solid interface. This conjugated conduction-convection problem is first reformulated through the employment of the coupled integral equations approach (CIEA) to simplify the heat conduction problem on the plate by averaging the related energy equation in the transversal direction. As a result, an improved lumped partial differential formulation for the transversally averaged wall temperature is obtained, while a third kind boundary condition is achieved for the fluid from the heat balance at the solid-fluid interface. From the available steady velocity distributions, a hy...

208

Numerical investigation of turbulence mixed convection heat transfer of water and drilling mud inside a square enclosure by finite volume method  

In the current study, after validating solution's accuracy, we are investigating Mixed Convection Heat Transfer in a square enclosure for drilling mud - as a Non Newtonian Fluid-and water-as a Newtonian Fluid-by finite volume method. The turbulence methods used in this study are the following: RNG k - ? Standard k - ? and RSM. The outcome of the investigation implies that under natural convection condition, velocity boundary layer would be somewhat asymmetrical on the cold wall and the fluid at the center of enclosure would remain stratified and still. The existing graphs also indicate that the turbulence intensity is higher for forced convection than natural convection. Also the maximum turbulence intensity for drilling mud is greater than for water. One of the most prominent outcomes to be named is that under similar circumstances, the Nusselt Number for water is far more than the one for drilling mud which itself is a prove that convection heat transfer is greater in the water than in the drilling mud.

209

Criterion of mixed convection occurrence in laminar regime in a tubular exchanger with constant flux density; Critere d'apparition de la convection mixte en regime laminaire dans un echangeur tubulaire a densite de flux constante  

In food industries, the thermal processing of highly viscous products in continuous processes has become more and more usual. These processes must ensure the microbiological security of the product and a better quality thanks to a thermal process as much homogenous as possible. In this context, the aim of this work is to study the occurrence of mixed convection for Newtonian fluids in laminar flow. An horizontal heat exchanger with constant flux density (impedance heating tube system) and with a circular section (L 6 m, internal diameter = 36 mm) has been used. In a first step, the parameters influencing the occurrence of mixed convection have been identified in order to group them in the form of a similitude invariant in the (Gr/Re){sub mp} ratio. An empirical correlation between this number (Gr/Re){sub mp} and the length of occurrence of mixed convection (L{sup *}) has been established and validated experimentally. The first particularity of this similitude invariant is based on the introduction of the parietal Nusselt number calculated in pure forced convection (Nu{sub xCF}). The second original aspect concerns the length of occurrence of mixed convection which was not considered as a constant but as a datum depending on the conditions of the experiment and on the geometry. (J.S.)

210

Mantle Convection  

This page discusses thermal convection as it applies to the Earth's mantle and includes three QuickTime movies for three different cases of convection: heating from below, heating from within, and a combination of the two.

211

77 FR 10373 - Greenhouse Gas Reporting Program: Electronics Manufacturing: Revisions to Heat Transfer Fluid...  

...or primarily to transfer heat by radiation, conduction, convection or a combination of these methods'' in the definition...or primarily to transfer heat by radiation, conduction, convection or a combination of these methods.'' This...

212

Experimental comparison of the ability of Dalton based and similarity theory correlations to predict water evaporation rate in different convection regimes  

This paper investigates the ability of two widely used evaporation models: Dalton based correlations and similarity theory results by comparing with experimental measurements. A series of experimental investigations are carried out over a wide range of water temperatures and air velocities for 0.01???Gr/Re 2???100 in a rectangular heated pool. The results show that for forced convection regime satisfactory results can be achieved by using the modified Dalton correlations, while, due to ripples appear on the water free surface, similarity theory under predicts the evaporation rate. In the free convection regime, Dalton based correlations even with modification are not able to predict acceptable results. For mixed convection regime, although both the similarity theory and Dalton based correl...

213

Non-Darcy mixed convection along a vertical wall in a saturated porous medium  

In most of the previous studies of either natural or mixed convection, the boundary-layer formulation of Darcy's law and the energy equation were used. However, the inertial effect is expected to become very significant when the pore Reynolds number is large. This is especially true for the case of either the high Rayleigh number regime or for high-porosity media. In spite of its importance in many applications, the non-Darcy flow effect has not received much attention. In this note, non-Darcy flow effects, which include the inertial and thermal dispersion effects, are closely examined. Steady-state non-Darcy convection, in the form of natural, mixed, and forced convection, is considered for a heated vertical surface embedded in a saturated porous medium.

214

Large eddy simulation of Marangoni convection in Czochralski crystal growth  

Large eddy simulation model is used to simulate the fluid flow and heat transfer in an industrial Czochralski crystal growth system. The influence of Marangoni convection on the growth process is discussed. The simulation results agree well with experiment, which indicates that large eddy simulation is capable of capturing the temperature fluctuations in the melt. As the Marangoni number increases, the radial velocity along the free surface is strengthened, which makes the flow pattern shift from circumferential to spiral. At the same time, the surface tension reinforces the natural convection and forces the isotherms to curve downwards. It can also be seen from the simulation that a secondary vortex and the Ekman layer are generated. All these physical phenomena induced by Marangoni convection have great impacts on the shape of the growth interface and thus the quality of the crystal. (copyright 2011 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim) (orig.)

215

RCCS Experiments and Validation for High Temperature Gas-Cooled Reactor  

A reactor cavity cooling system (RCCS), an air-cooled helical coil RCCS unit immersed in the water pool, was proposed to overcome the disadvantages of the weak cooling ability of air-cooled RCCS and the complex structure of water-cooled RCCS for the high temperature gas-cooled reactor (HTGR). An experimental apparatus was constructed to investigate the various heat transfer phenomena in the water pool type RCCS, such as the natural convection of air inside the cavity, radiation in the cavity, the natural convection of water in the water pool and the forced convection of air in the cooling pipe. The RCCS experimental results were compared with published correlations. The CFX code was validated using data from the air-cooled portion of the RCCS. The RELAP5 code was validated using measured temperatures from the reactor vessel and cavity walls.

216

Working characteristics of reciprocating type heat engine using shape memory alloy; Keijo kioku gokin wo mochiita recipro type engine no dosa tokusei  

Various types of heat engine using shape memory alloy are proposed and studied. From the viewpoints of thermal efficiency and operational control of an engine an efficient heat exchanger is required for heating and cooling of the shape memory alloy. Furthermore a heat engine operated it a small range of strain is required because the fatigue life of shape memory alloy is strongly dependent on the strain of shape memory alloy. In this paper, the novel operation system of reciprocating type heat engine using shape memory alloy was proposed. This proposed engine could be operated continuously even within a small strain range. Shape memory alloys used were straight wires of Ti-Ni-Cu alloy which were heated and cooled by forced convection. Working characteristics of engines were investigated by experiments. Experiments were conducted under various heating temperatures and strains. Working characteristics such as the amount of work were discussed. 8 refs., 15 figs.

217

Sandwich heating film boiling heat transfer research in narrow rectangle channel  

The narrow rectangle channel heat transfer technique is a new developing heat transfer technique in recent years. In the narrow rectangle channel, film boiling is an important two-phase flow heat transfer process in many engineering application, including steam generator, nuclear reactor and engineering metallurgy. As the temperature of droplet, steam and wall are decided by forced convection heat transfer between the steam and the wall, the droplet and the wall, the steam and the droplet and radiation heat transfer process, which makes heat transfer mechanism of film boiling be difficultly interpretative. Film boiling in narrow rectangle channel is analyzed in the paper, investigating the influence of all kinds of heat transfer processes on film boiling. A rectangle channel film boiling model has been built up using thermodynamic non-equilibrium model.

218

Current carrying capacity and heating investigations of the high current devices for current transmission and distribution systems; Untersuchungen zur Strombelastbarkeit und Erwaermung von Hochstromanlagen  

Current carrying equipment for power engineering is getting smaller and more compact in order to meet customer demands. In spite of small dimensions it should be able to carry still growing currents, which cause high current densities in the current carrying parts and therefore cause the high heating of these parts. Due to small dimensions the heat transfer from these devices is restricted too. To assure that the maximum temperature rise in the equipment parts doesn't exceed the allowed temperature rise fixed in the standards, temperatures in these parts should be calculated first, for instance with thermal networks. To achieve a good accuracy of the temperature calculation, the parameters as skin effect factor of the current path and of the enclosure, n{sub 1}-, c{sub 1}-factors of the affinity function Nu = c{sub 1}(GrPr){sup n1} for natural convection and n{sub 2}-, c{sub 2}-factors for the affinity function Nu = c{sub 2}Re{sup n2} for forced convection must be known. For this reason dependency investigations of the skin and proximity effect on the geometry of the current path and the enclosure of the Generator Circuit Breaker as well as on the geometry of the rectangular current bus bars have been carried out. In particular the influence of the enclosure, the dimensions of the current path, the phase shift between the current in the current path and in the enclosure, the influence of the different heat sink types on the current path, the temperature of the current paths and the current frequency on the skin effect of the current path and of the enclosure have been investigated. For rectangular bus bars of the three-phase current system the dimensions of the bus bar as well as its alignment and distance the other bus bars have been examined. The results of these investigations reveal papameters, which have the strongest influence on the skin effect in the current path. Another part of this work deals with heat transfer from the current path to the ambient air. The power losses produced in the current carrying parts are transferred through convection, radiation and conduction from these parts to the ambient. For better cooling effectiveness several heat sink types, for example on the parts of generator circuit breaker, can be used. To improve the accuracy of the temperature calculation with thermal networks, the n{sub 1}- and c{sub 1}-factors of the affinity function Nu = c{sub 1}(GrPr){sup n1} for natural convection, depending on the angle of the heat sink to the airflow have been determined experimentally. Another point of thermal investigation was the heat sink cooling with air, while the air was pre-warmed by other hot parts below the heat sink. This kind of interaction appears particularly in very compact devices and should therefore be investigated for the better accuracy of temperature calculation with thermal networks. Investigations have been carried out for different average temperatures of the heat plate, which was placed below the heat sink and for different heat sink positions to the airflow. Additionally the impact of the air stream detaining parts below the heat sink on the convective heat transfer from this heat sink by free convection was determined. To improve the convective heat transfer from the current path to the ambient forced cooling of this path can be used. It allows transferring much more heat power from the current path and therefore higher current loads without exceeding its maximal allowed temperature rise. The effectiveness of the heat sink by the forced convection depends similar to the free convection on its alignment in the cooling air stream and on its design. The velocity of the cooling air and the bypass above and besides of the heat sink are relevant too. To investigate all these parameters two heat sink types (pin fin heat sink and fin heat sink) were investigated in different wind tunnels, with different positions to the air stream as well as with different velocities of the cooling air. For each heat sink the convective heat transfer coefficient {alpha}{sub Ko} and the c{sub 2-}, n{sub 2-}factors of the affinity function Nu=c{sub 2}Re{sup n2} have been determined. The comparison between the values of the convective heat transfer coefficient {alpha}{sub Ko} shows which heat sink and which heat sinks positions in the air stream are particularly favorable for convective heat transfer from the heat sink. (orig.)

219

INVESTIGATION OF FUNDAMENTAL THERMAL-HYDRAULIC PHENOMENA IN ADVANCED GAS-COOLED REACTORS  

INL LDRD funded research was conducted at MIT to experimentally characterize mixed convection heat transfer in gas-cooled fast reactor (GFR) core channels in collaboration with INL personnel. The GFR for Generation IV has generated considerable interest and is under development in the U.S., France, and Japan. One of the key candidates is a block-core configuration first proposed by MIT, has the potential to operate in Deteriorated Turbulent Heat Transfer (DTHT) regime or in the transition between the DTHT and normal forced or laminar convection regime during post-loss-of-coolant accident (LOCA) conditions. This is contrary to most industrial applications where operation is in a well-defined and well-known turbulent forced convection regime. As a result, important new need emerged to develop heat transfer correlations that make possible rigorous and accurate predictions of Decay Heat Removal (DHR) during post LOCA in these regimes. Extensive literature review on these regimes was performed and a number of the available correlations was collected in: (1) forced laminar, (2) forced turbulent, (3) mixed convection laminar, (4) buoyancy driven DTHT and (5) acceleration driven DTHT regimes. Preliminary analysis on the GFR DHR system was performed and using the literature review results and GFR conditions. It confirmed that the GFR block type core has a potential to operate in the DTHT regime. Further, a newly proposed approach proved that gas, liquid and super critical fluids all behave differently in single channel under DTHT regime conditions, thus making it questionable to extrapolate liquid or supercritical fluid data to gas flow heat transfer. Experimental data were collected with three different gases (nitrogen, helium and carbon dioxide) in various heat transfer regimes. Each gas unveiled different physical phenomena. All data basically covered the forced turbulent heat transfer regime, nitrogen data covered the acceleration driven DTHT and buoyancy driven DTHT, helium data covered the mixed convection laminar, acceleration driven DTHT and the laminar to turbulent transition regimes and carbon dioxide data covered the returbulizing buoyancy driven DTHT and non-returbulizing buoyancy induced DTHT. The validity of the data was established using the heat balance and the uncertainty analysis. Based on experimental data, the traditional threshold for the DTHT regime was updated to account for phenomena observed in the facility and a new heat transfer regime map was proposed. Overall, it can be stated that substantial reduction of heat transfer coefficient was observed in DTHT regime, which will have significant impact on the core and DHR design of passive GFR. The data were compared to the large number of existing correlations. None of the mixed convection laminar correlation agreed with the data. The forced turbulent and the DTHT regime, Celeta et al. correlation showed the best fit with the data. However, due to larger ratio of the MIT facility compared to the Celeta et al. facility and the returbuliziation due to the gas characteristics, the correlation sometimes under-predicts the heat transfer coefficient. Also, since Celeta et al. correlation requires the information of the wall temperature to evaluate the heat transfer coefficient, it is difficult to apply this correlation directly for predicting the wall temperature. Three new sets of correlation that cover all heat transfer regimes were developed. The bas

220

Thermo capillary and buoyancy convection in a fluid locally heated on its free surface; Convection thermocapillaire et thermogravitaire dans un fluide chauffe localement sur sa surface libre  

coupled buoyancy and thermo-capillary convection lead to a convective motion of the interface liquid/gas which drastically changes the heat and mass transfer across the liquid layer. Two experiments were considered, depending on the fluid: oil or mercury. The liquid is set in a cooled cylindrical vessel, and heated by a heat flux across the center of the free surface. The basic flow, in the case of oil, is a torus. When the heat parameter increases, a stationary flow appears as petals or rays when the aspect ratio. The lateral confinement selects the azimuthal wavelength. In the case of petals-like flow, a sub-critical Hopf bifurcation is underlined. The turbulence is found to be `weak`, even for the largest values of the Marangoni number (Ma = 1.3 10{sup 5}). In the case of mercury, the thermo-capillary effect is reduced to zero to impurities at the surface which have special trajectories we describe and compare to a simpler experiment. Only the buoyancy forces induce a unstationary, weakly turbulent flow as soon as the heating power exceeds 4W (Ra = 4.5 10{sup 3}, calculated with h = 1 mm). The past part concerns the analysis of the effect on the flow of the boundary conditions, the geometry, the Prandtl number and the buoyancy force with the help of the literature. Results concerning heat transfer, in particular the exponent of the law Nusselt number vs. heating power, were compared with available data. (author) 115 refs.

 
 
 
 
221

Mathematical modeling of spontaneous heating of a coalbed  

To have the capability to predict the development of localized spontaneous heating within a porous coalbed that is subjected to forced air ventilation or in an otherwise quiescent environment in which buoyancy develops, The Bureau of Mines developed three time-dependent mathematical models, which were used to calculate the temperature increase associated with chemisorption of oxygen by the coal. In each model, spontaneous heating is driven by an Arrhenius first order reaction between the oxygen and coal. Two models ate two-dimensional, and one is one-dimensional. In the first two-dimensional model, a constant-velocity forced convection airflow is specified; and in the other, buoyant flow is allowed to develop in the absence of forced convection. The third model evaluates the airflow from Darcy's law and a specification of the pressure at the surface of a one-dimensional porous coalbed. Numerical computations demonstrate how each model could be used to predict the onset of spontaneous heating when the porous coalbed was subjected to constraints of an imposed internal heat source or a high-temperate airflow. The effects of particle size and coalbed compaction upon spontaneous heating have been examined with the third model.

222

Mechanisms Regulating Deep Moist Convection and Sea-Surface Temperatures of the Tropics  

Despite numerous previous studies, two relationships between deep convection and the sea-surface temperature (SST) of the tropics remain unclear. The first is the cause for the sudden emergence of deep convection at about 28 deg SST, and the second is its proximity to the highest observed SST of about 30 C. Our analysis provides a rational explanation for both by utilizing the Improved Meteorological (IMET) buoy data together with radar rainfall retrievals and atmospheric soundings provided by the Tropical Ocean Global Atmosphere Coupled Ocean-Atmosphere Response Experiment (TOGA-COARE). The explanation relies on the basic principles of moist convection as enunciated in the Arakawa-Schubert cumulus parameterization. Our analysis shows that an SST range of 28-29 C is necessary for "charging" the atmospheric boundary layer with sufficient moist static energy that can enable the towering convection to reach up to the 200 hPa level. In the IMET buoy data, the changes in surface energy fluxes associated with different rainfall amounts show that the deep convection not only reduces the solar flux into the ocean with a thick cloud cover, but it also generates downdrafts which bring significantly cooler and drier air into the boundary-layer thereby augmenting oceanic cooling by increased sensible and latent heat fluxes. In this way, the ocean seasaws between a net energy absorber for non-raining and a net energy supplier for deep-convective raining conditions. These processes produce a thermostat-like control of the SST. The data also shows that convection over the warm pool is modulated by dynamical influences of large-scale circulation embodying tropical easterly waves (with a 5-day period) and MJOs (with 40-day period); however, the quasi-permanent feature of the vertical profile of moist static energy, which is primarily maintained by the large-scale circulation and thermodynamical forcings, is vital for both the 28 C SST for deep convection and its upper limit at about 30 C.

223

A review of natural convective heat transfer correlations in rectangular cross-section cavities and their potential applications to compound parabolic concentrating (CPC) solar collector cavities  

Natural convective heat transfer in cavities is a complex function of cavity shape, aspect ratio, boundary conditions at the walls and the properties of the fluid contained within the enclosure. Considerable research into natural convection in regular shaped cavities, such as those of rectangular, square cross-section, or cylindrical annuli has been undertaken. Knowledge is, however, more limited relating to natural convective heat transfer in CPC solar collector cavities. Accurate knowledge of the variation in local convective heat transfer coefficients at the different CPC cavity components would facilitate to the design of suitable convection suppression devices, for example baffles at specific locations within the cavity, substantially reducing convective heat transfer and thus improvi...

224

Validation of CFD-methods to predict heat transfer and temperatures during the transport and storage of casks under a cover  

With respect to the transport of casks for radioactive material, the proof of the safe heat removal can be accomplished by validated calculation methods. The boundary conditions for thermal tests for type B packages are specified in the ADR based on the regulations defined by the International Atomic Energy Agency. The varying boundary conditions under transport or storage conditions are based on the varying thermal conditions true for different cask types. In most cases the cask will be transported in lying position under a cover (e.g. canopy or tarpaulin) and stored in standing position in an array with other casks. The main heat transport mechanisms are natural convection and thermal radiation. The cover or the storage building are furnished with vents that create an air flow, which will improve the natural convection. Depending on the thermal boundary conditions, the cask design and the heat power, about 50 - 95% of the heat power will be removed from the finned cask surface by natural convection. Consequently the convection by air flow is the main heat transport mechanism. The air flow can be approximated with analytical methods by solving the integral heat and flow balances for the domain. In a stationary state the overpressure due the buoyancy and the pressure loss in the flow resistances are equal. Based on the air flow, the relevant temperatures of the cask can be calculated in an iterative process. Due to the fast development of numerical calculation methods and computer hardware, the use of Computational- Fluid-Dynamics(CFD) calculations plays an important role. CFD-calculations are based on solving the equations of conservation (Navier-Stokes equations) using a finite element mesh or a finite volume mesh of the model. For a finned cask lying under a cover, where the main contributing element for heat removal is natural convection in combination with the thermal radiation, a CFD-calculation can be the most appropriate method. Common CFD-Codes are FLUENT or CFX using finite-volume solvers or ANSYS-FLOTRAN using finite-element solvers. The correct functioning of these codes is globally tested over a bread rage of industrial flow problems. The weakly forced natural convection coupled with convective and radiative heat transfer at a finned surface is a very special use of CFD, so that the numerical methods by using CFD have to be validated in detail for these applications.

225

Regional Heat Sources and the Active and Break Phases of Boreal Summer Intraseasonal Variability  

The boreal summer intraseasonal variability (BSISV) associated with the 30-50 day mode is represented by the co-existence of three components, poleward propagation of convection over the Indian and tropical west Pacific longitudes and eastward propagation along the equator. The hypothesis that the three components influence each other has been investigated using observed OLR, NCEP-NCAR reanalysis, and solutions from an idealized linear model. The null hypothesis is that the three components are mutually independent. Cyclostationary EOF (CsEOF) analysis is applied on filtered OLR to extract the life-cycle of the BSISV. The dominant mode of CsEOF is significantly tied to observed rainfall over the Indian subcontinent. The components of the heating patterns from CsEOF analysis serve as prescribed forcings for the linear model. This allows us to ascertain which heat sources and sinks are instrumental in driving the large-scale monsoon circulation during the BSISV life-cycle. We identify three new findings: (1) the circulation anomalies that develop as a Rossby wave response to suppressed convection over the equatorial Indian Ocean associated with the previous break phase of the BSISV precondition the ocean-atmosphere system in the western Indian Ocean and trigger the next active phase of the BSISV, (2) the development of convection over the tropical west Pacific forces descent anomalies to the west. This, in conjunction with the weakened cross-equatorial flow due to suppressed convective anomalies over the equatorial Indian Ocean reduce the tropospheric moisture over the Arabian Sea, and promote westerly wind anomalies that do not recurve over India. As a result the low-level cyclonic vorticity shifts from India to southeast Asia and break conditions are initiated over India, and (3) the circulation anomalies forced by equatorial Indian Ocean convective anomalies significantly influence the active/break phases over the tropical west Pacific. Our model solutions support the hypothesis that the three components of the BSISV influence each other.

226

Two-phase non-equilibrium models: the challenge of improving phase change heat transfer prediction  

Abstract in english This lecture addresses some recent developments in modelling of macroscopic thermodynamic and hydrodynamic non-equilibrium phenomena in convective phase change (boiling and condensation) of pure fluids and mixtures. Proper accounting of such phenomena may hold the key to explain and predict deviations from the classical (equilibrium) phase change convective heat transfer behaviour reported in the literature and yet not fully understood. In the first part of the paper, a d (more) etailed qualitative description of the classical heat transfer coefficient behaviour is presented together with two examples of departure from macroscopic equilibrium largely supported by experimental evidence. The second part of the paper reviews successful attempts to model the non-equilibrium phase change phenomena taking place in the two situations. The first example is a thermodynamic non-equilibrium slug flow model (one in which saturated Taylor bubbles become separated by slugs of subcooled liquid) that predicts the peaks in heat transfer coefficient at near-zero thermodynamic quality observed in forced convective boiling of some pure liquids. The occurrence of such peaks is typical of low latent heat, low thermal conductivity systems and of systems in which the vapour volume formation rate for a given heat flux is large. The second example is a comprehensive annular flow calculation methodology that predicts the decrease in the heat transfer coefficient with increasing quality observed in convective boiling of binary and multicomponent mixtures. In this case, as will be seen, coupled mass transfer resistance and hydrodynamic non-equilibrium effects generate concentration gradients between the liquid film and entrained droplets that are responsible for the heat transfer deterioration. In addition, it will be shown that for condensation of mixtures the methodology predicts a heat transfer intensification which has been subsequently confirmed by independent experimental results.

227

Conjugate mixed convection with surface radiation from a vertical electronic board with multiple discrete heat sources  

The problem of combined conduction-mixed convection-surface radiation from a vertical electronic board provided with three identical flush-mounted discrete heat sources is solved numerically. The cooling medium is air that is considered to be radiatively transparent. The governing equations for fluid flow and heat transfer are converted from primitive variable form to stream function-vorticity formulation. The equations, thus obtained, are normalised and then are converted into algebraic form using a finite volume based finite difference method. The resulting algebraic equations are then solved using Gauss-Seidel iterative method. An optimum grid system comprising 151 grids along the board and 111 grids across the board is chosen. The effects of various parameters, such as modified Richardson number, surface emissivity and thermal conductivity on temperature distribution along the board, maximum board temperature and relative contributions of mixed convection and radiation to heat dissipation are studied in detail. Further, the contributions of free and forced convection components of mixed convection to board temperature distribution and peak board temperature are brought out. The exclusive roles played by surface radiation and buoyancy in the present problem are clearly elucidated.

228

An experimental study of mixed convection; Contribution a l'etude experimentale de la convection mixte  

The aim of our study is to establish a reliable database for improving thermal hydraulic codes, in the field of turbulent flows with buoyancy forces. The flow considered is mixed convection in the Reynolds and Richardson number range: Re = 10{sup 3} to 6.10{sup 4} and Ri = 10{sup -4} to 1. Experiments are carried out in an upward turbulent flow between vertical parallel plates at different wall temperatures. Part 1 gives a detailed database of turbulent mixed flow of free and forced convection. Part 2 presents the installation and the calibration system intended for probes calibration. Part 3 describes the measurement technique (constant temperature probe and cold-wire probe) and the method for measuring the position of the hot-wire anemometer from the wall surface. The measurement accuracy is within 0.001 mm in the present system. Part 4 relates the development of a method for near wall measurements. This correction procedure for hot-wire anemometer close to wall has been derived on the basis of a two-dimensional numerical study. The method permits to obtain a quantitative correction of the wall influence on hot-wires and takes into account the velocity profile and the effects the wall material has on the heat loss. Part 5 presents the experimental data obtained in the channel in forced and mixed convection. Results obtained in the forced convection regime serve as a verification of the measurement technique close to the wall and give the conditions at the entrance of the test section. The effects of the buoyancy force on the mean velocity and temperature profiles are confirmed. The buoyancy strongly affects the fluid structure and deforms the distribution of mean velocity. The velocity profiles are asymmetric. The second section of part 5 gives an approach of analytical wall functions with buoyancy forces, on the basis of the experimental data obtained in the test section. (author)

229

A general treatment for non-Darcy film condensation within a porous medium in the presence of gravity and forced flow  

Non-Darcy film condensation over a vertical flat plate within a porous medium is considered. The Forchheimer extended Darcy model is adopted to account for the non-Darcy effects on film condensation in the presence of both gravity and externally forced flow. A general similarity transformation is proposed upon introducing a modified Peclet number based on the total velocity of condensate, resulting from both gravitational force and externally forced flow. This general treatment makes it possible to obtain all possible similarity solutions including the asymptotic results in the four different limiting regimes, namely, Darcy forced convection regime, Forchheimer forced convection regime, Darcy body force predominant regime and Forchheimer body force predominant regime. Appropriate dimensionless groups for distinguishing these asymptotic regimes are found to be the micro-scale Grashof and Reynolds numbers based on the square root of the permeability of the porous medium. Correspondingly, the non-Darcy effect on the heat transfer rate are investigated in terms of these micro-scale dimensionless numbers. (orig.).

230

Laminar mixed convection in horizontal concentric annuli with non-uniform circumferential heating  

Steady, laminar, mixed convection in the fully developed region of horizontal concentric annuli has been investigated numerically for the case of non-uniform circumferential heating. Two heating conditions were studied, one in which a 180 {sup circle} arc encompassing the top half of inner surface of the inner cylinder is uniformly heated while the bottom half is kept insulated, and the other in which the heated and the insulated surfaces were reversed. The fluid flow and heat transfer characteristics were found to be affected by the heating conditions. For the investigated range of the governing buoyancy parameter, the modified Grashof number (Gr{sup *}), it was found that bottom heating arrangement gives rise to a vigorous secondary flow, with the result that the average Nusselt numbers are much higher than those for pure forced convection. On the other hand, the local Nusselt numbers are nearly circumferentially uniform. In the case of top heating arrangement, a less vigorous secondary flow is induced because of temperature stratification, with average Nusselt numbers that are substantially lower than those for bottom heating and with large circumferential variation of the local Nusselt number. (orig.)

231

Convective heat transfer of alumina nanofluids in laminar flows through a pipe at the thermal entrance regime  

The convective heat transfer characteristics of aqueous alumina nanofluids were investigated experimentally under forced laminar tube flows. The particles had different shapes of cylinders, bricks and blades, and particle loading was between 0?5 volume%. The nanofluids were characterized rheologically, and the heat transfer system was validated by using water without particles. In calculating Nusselt and Peclet numbers to assess heat transfer enhancement of nanofluids, physical properties of water were used so as not to exaggerate the amount of heat transfer. It was found that heat transfer coefficients of nanofluids are almost the same or a little smaller than that of water. The heat transfer coefficient can be reduced by the lowering the thermal conductivity of the nanofluid under sheari...

232

Experimental investigation of convective heat transfer of Al{sub 2}O{sub 3}/water nanofluid in circular tube  

Nanofluids are suspensions of metallic or nonmetallic nanopowders in base liquid and can be employed to increase heat transfer rate in various applications. In this work laminar flow forced convection heat transfer of Al{sub 2}O{sub 3}/water nanofluid inside a circular tube with constant wall temperature was investigated experimentally. The Nusselt numbers of nanofluids were obtained for different nanoparticle concentrations as well as various Peclet and Reynolds numbers. Experimental results emphasize the enhancement of heat transfer due to the nanoparticles presence in the fluid. Heat transfer coefficient increases by increasing the concentration of nanoparticles in nanofluid. The increase in heat transfer coefficient due to presence of nanoparticles is much higher than the prediction of single phase heat transfer correlation used with nanofluid properties.

233

Heat transfer and friction characteristics of air flow in microtubes  

Several researches dealing with the single-phase forced convection heat transfer inside microchannels have been published in the past decades. The performance of liquid flow has been proved that agrees with the conventional correlations very well. However, owing to the low heat transfer coefficient of gaseous flow, it is more difficult to eliminate the effects of thermal shunt and heat loss than water flow while measuring its heat transfer performance. None of the heat transfer performance experimental results have been published in the literature. This study provides an experimental investigation on the pressure drop and heat transfer performance of air flow through microtubes with inside diameter of 86, 308 and 920mm. The Liquid Crystal Thermography method was used to measure the tube su...

234

Forced convective post CHF heat transfer and quenching. [PWR  

This paper discusses mechanisms in the post-CHF region which provide understanding and qualitative prediction capability for several current forced convective heat transfer problems. In the area of nuclear reactor safety, the mechanisms are important in the prediction of fuel rod quenches for the reflood phase, blowdown phase, and possibly some operational transients with dryout. Results using the mechanisms to investigate forced convective quenching are presented. Data reduction of quenching experiments is discussed, and the way in which the quenching transient may affect the results of different types of quenching experiments is investigated. This investigation provides an explanation of how minimum wall superheats greater than the homogeneous nucleation temperature result, as well as how these may appear to be either hydrodynamically or thermodynamically controlled. Finally, the results of a parametric study of the effects of the mechanisms upon the LOFT L2-3 hotpin calculation are presented.

235

Mixed convection of air in a horizontal cylindrical annulus with rotating outer cylinder  

Mixed convection of air in a horizontal concentric cylindrical annulus is investigated numerically. Isothermal boundary conditions are prescribed at the inner and outer cylinders, with the inner cylinder being warmer. The forced flow is induced by the outer cylinder which is rotating slowly with constant angular velocity with its axis at the center of the annulus. The effect of the forced flow on the flow pattern and heat transfer of natural convection is investigated for the annulus of (inner-cylinder radius/gap width) = 1. There appear two eddies, one eddy or no eddy according to the Rayleigh and Reynolds numbers. Map of the three flow regimes is constructed on the Ra-Re plane. (author). 28 refs., 9 figs., 2 tabs.

236

On the Role of Typhoons in Generating PJ Teleconnection Patterns over the Western North Pacific in Late Summer  

The extratropical response to typhoon-related convective forcing over the western North Pacific in late summer is examined based on ECMWF global reanalysis (ERA-40) data during the 1958-2001 period. Typhoon activity is intimately associated with most of the major events in which an extratropical wavetrain structure prevails from the north of the Philippines through the central North Pacific. The vertical structure of the wavetrain pattern changes from baroclinic to a barotropic along the great circle. The analysis of the wave activity flux indicates that the extratropical wavetrain is stimulated by stationary Rossby waves. It was found that one or two typhoons, which are a synoptic-scale convective heat source over the western North Pacific, can induce the barotropic Rossby wavetrain and significantly influence the summer weather in the vicinity of Japan as remote forcing.   

237

Visualization study for forced convection heat transfer of supercritical carbon dioxide near pseudo-boiling point  

For development of new reactor, supercritical water is expected to be used as coolant to improve thermal efficiency. However, the thermal characteristics of supercritical fluid is not revealed completely because its difficulty for experiment. Specific phenomena tend to occur near the pseudo-boiling point which is characterised by temperature corresponding to the saturation point in ordinary fluid. Around this point, the physic properties such as density, specific heat and thermal conductivity are drastically varying. Although there is no difference between gas and liquid phases in supercritical fluids, phenomena similar to boiling (with heat transfer deterioration) can be observed round the pseudo-boiling point. Experiments of heat transfer have been done for supercritical fluid in forced convective condition. However, these experiments were mainly realised inside stainless steel cylinder pipes, for which flow visualisation is difficult. Consequently, this work has been devoted to the development of method allowing the visualisation of supercritical flows. The experiment setup is composed of main loop and test section for the visualisation. Carbon dioxide is used as test fluid. Supercritical carbon dioxide flows upward in rectangular channel and heated by one-side wall to generate forced convection heat transfer. Through window at mid-height of the test section, shadowgraphy was applied to visualize density gradient distribution. The behavior of the density wave in the channel is visualized and examined through the variation of the heat transfer coefficient. (author)

238

Single-phase liquid flow forced convection under a nearly uniform heat flux boundary condition in microchannels  

A microchannel heat sink, integrated with pressure and temperature microsensors, is utilized to study single-phase liquid flow forced convection under a uniform heat flux boundary condition. Utilizing a wafer-bond-and-etch-back technology, the heat source, temperature and pressure sensors are encapsulated in a thin composite membrane capping the microchannels, thus allowing experimentally good control of the thermal boundary conditions. A three-dimensional physical model has been constructed to facilitate numerical simulations of the heat flux distribution. The results indicate that upstream the cold working fluid absorbs heat, while, within the current operating conditions, downstream the warmer working fluid releases heat. The Nusselt number is computed numerically and compared with experimental and analytical results. The wall Nusselt number in a microchannel can be estimated using classical analytical solutions only over a limited range of the Reynolds number, Re: both the top and bottom Nusselt numbers approach 4 for Re Nusselt numbers approach 0 and 5.3, respectively, for Re > 100. The experimentally estimated Nusselt number for forced convection is highly sensitive to the location of the temperature measurements used in calculating the Nusselt number.

239

Boiling Heat Transfer Characteristics with Highly Wettable Heated Surface under Forced Convection Conditions  

Under forced convection and atmospheric pressure conditions, heat transfer characteristics were studied using an annulus channel of a heater rod with highly-wettable surface. Improvement of phase change heat transfer under boiling and condensation process requires that either liquid heated or vapor cooled can contact a heat transfer surface effectively, but either a vapor layer or a liquid film can be formed repeatedly on the surface during boiling and condensation processes. As oxide semiconductor materials are known to be highly wettable, TiO2 was coated on a heater rod surface. The Leidenfrost temperature for the TiO2 coated surface was higher than that for the uncoated surface. Under mass flux conditions from 600 to 1700kg/m2s, the heater rod surface temperature at variable power conditions was measured. A higher heat flux at the point where the forced convection vaporization started and a larger critical heat flux were observed for the TiO2 coated surface than that for the uncoated surface.   

240

Numerical Simulation of Non-Equilibrium Conjugate Heat Transfer in Tubes Partially Filled with Metallic Foams  

Numerical simulation with the Forchheimer flow model and local thermal non-equilibrium model for porous region is performed on forced convective heat transfer in a tube partially filled with metallic foams. Flow and heat transfer of fluid in the hollow region and those of fluid in the porous region are conjugated together via the coupling conditions at porous-fluid interface. A heat flow model is proposed with special numerical treatments employed for non-equilibrium conjugated heat transfer in foam-fluid system. Velocity and temperature profiles in the flow direction are obtained and validated with analytical results. Effects of porosity, pore density, dimensionless interfacial radius and fluid-to-solid thermal conductivity ratio on flow characteristics and thermal performance are examined. Accordingly, the entrance effect is analyzed through the numerical simulation in terms of both flow and heat transfer. The present tube exhibits more excellent heat transfer performance at the expense of moderate pressure drop compared with the tube without porous material. The numerical work is not only developed for forced convection in metal-foam partially filled tube, but can also be extended to similar problem with porous-fluid interface for other porous media with significant thermal non-equilibrium effect.   

 
 
 
 
241

Model simulation of a localized high intensity heat source interacting with cooled metal plates  

The basic, generic problem of a localized high intensity heat source directed against one surface of a plate of finite thickness was investigated using the finite element program ANSYS. After reviewing similar work in nuclear fuel and laser machining, ANSYS was verified against a known solution. ANSYS was used to create a model that yields minimum heat transfer coefficients needed to prevent the initiation of melting in thin aluminum, titanium, and stainless steel (AISI 304) plates. These heat transfer coefficients were converted into minimum local Nusselt numbers and graphed against local Nusselt number correlations for constant temperature flat plates in forced and free convection regimes. A detailed listing of both laminar and turbulent correlations is presented along with references. The suitability of liquid sodium, air, and water (under high pressure) as coolants for a source intensity of 2.0 x 10 to the 7th power w/sq m was examined. For free convection, only liquid sodium cooling a titanium plate is feasible, For forced convection, liquid sodium is feasible in laminar flow fo r all three plates with velocities ranging from 0.28 m/s to 1.09 m/s. Water is feasible for aluminum and titanium in turbulent flow at velocities of approximately 4 m/s.

242

Model simulation of a localized high-intensity heat source interacting with cooled metal plates. Master's thesis  

The basic, generic problem of a localized high-intensity heat source directed against one surface of a plate of finite thickness was investigated using the finite-element program ANSYS. After reviewing similar work in nuclear fuel and laser machining, ANSYS was verified against a known solution. ANSYS was used to create a model that yields minimum heat-transfer coefficients needed to prevent the initiation of melting in thin aluminum, titanium, and stainless steel (AISI 304) plates. These heat-transfer coefficients were converted into minimum local Nusselt-numbers and graphed against local Nusselt-number correlations for constant-temperature flat plates in forced- and free-convection regimes. A detailed listing of both laminar and turbulent correlations is presented along with references. The suitability of liquid sodium, air, and water (under high pressure) as coolants for a source intensity of 2.0 x 10/sup 7/ w/sq m was examined. For free convection, only liquid sodium cooling a titanium plate is feasible; for forced convection, liquid sodium is feasible in laminar flow for all three plates with velocities ranging from 0.28 to 1.09 m/s. Water is feasible for aluminum and titanium in turbulent flow at velocities of approximately 4 m/s.

243

Parametric studies and correlations for combined conduction-mixed convection-radiation from a non-identically and discretely heated vertical plate  

The present paper reports the parametric studies and correlations for the problem of combined conduction-mixed convection-radiation from a non-identically and discretely heated vertical plate. Three discrete heat sources of non-identical heights but with identical volumetric rate of heat generation are assumed to be flush-mounted in a thin vertical plate. The longest and the shortest heaters are provided at the leading and trailing edges of the plate, while the remaining heater is located centrally. The governing fluid flow and heat transfer equations are considered in their full strength without the boundary layer approximations and are solved using the finite volume method. A computer code is written to solve the problem and various parametric studies have been performed. The relative roles of free convection, forced convection and radiation in various fluid flow and heat transfer results have been elucidated. In conclusion, based on a large set of data generated from the code, correlations for maximum non-dimensional plate temperature, average non-dimensional plate temperature and mean friction coefficient have been evolved.

244

Numerical prediction of laminar flow and heat transfer in internally finned tubes  

An investigation was carried out to provide a detailed analysis of laminar fluid flow and heat transfer in internally finned pipes. Three mathematical models were formulated for this purpose, and shown to be capable of simulating the actual situation of pressure drop and heat transfer in such tubes. Steady, laminar forced convection heat transfer in the thermal entrance region of internally finned tubes was investigated numerically for the case of fully developed hydrodynamics using the H1 and T thermal boundary conditions. Steady, laminar fluid flow in the hydrodynamic entrance region of internally finned tubes was investigated numerically. Results are presented for the smooth tube geometry and sixteen geometries corresponding to various combinations of relative fin heights and number of fins. Steady, laminar mixed convection in the fully developed region of horizontal internally finned tubes was investigated for the case of uniform heat input axially and uniform wall temperature circumferentially. Fluid flow and heat transfer characteristics were found to be dependent on a modified Grashof number, Prandtl number, relative fin height, and number of fins. Internal finning was found to retard the onset of significant free convective effects and to suppress the enhancement in friction factor and Nusselt number compared to smooth tubes. 54 refs., 93 figs., 12 tabs.

245

Three-dimensional flow in the Florida platform: Theoretical analysis of Kohout convection at its type locality  

Kohout convection is the name given to the circulation of saline groundwater deep within carbonate platforms, first proposed by F.A. Kohout in the 1960s for south Florida. It is now seen as an Mg pump for dolomitization by seawater. As proposed by Kohout, cold seawater is drawn into the Florida platform from the deep Straits of Florida as part of a geothermally driven circulation in which the seawater then rises in the interior of the platform to mix and exit with the discharging meteoric water of the Floridan aquifer system. Simulation of the asymmetrically emergent Florida platform with the new three-dimensional (3-D), finite-element groundwater flow and transport model SUTRA-MS, which couples salinity- and temperature-dependent density variations, allows analysis of how much of the cyclic flow is due to geothermal heating (free convection) as opposed to mixing with meteoric water discharging to the shoreline (forced convection). Simulation of the system with and without geothermal heating reveals that the inflow of seawater from the Straits of Florida would be similar without the heat flow, but the distribution would differ significantly. The addition of heat flow reduces the asymmetry of the circulation: it decreases seawater inflows on the Atlantic side by 8% and on the Guff of Mexico side by half. The study illustrates the complex interplay of freshwater-saltwater mixing, geothermal heat flow, and projected dolomitization in complicated 3-D settings with asymmetric boundary conditions and realistic horizontal and vertical variations in hydraulic properties. ?? 2007 The Geological Society of America.

246

Thermal processes within the active layer of the rock glacier Murtèl-Corvatsch, Upper Engadin, Switzerland  

Coarse debris is a characteristic ground material in high alpine environments. The special thermal properties of this ground material favour the existence of permafrost. However, the most important processes explaining the common thermal anomaly found within these materials are still not yet fully understood. Many different approaches try to explain these processes. The most common explanation is the heat transfer between atmosphere and ground, driven by heat convection in autumn and winter and stable stratification of the interstitial air in summer. These processes could be shown at the investigated site in an earlier study (Hanson and Hoelzle 2005). On the contrary, Gruber and Hoelzle (2008) tried to explain the observed measurements independent of convective processes, only based on model calculations, which were based on the interaction between winter snow cover and the very low thermal conductivity of the coarse debris layer. In the present study, we took the ground surface temperature data from the uppermost 90 cm of the active layer of the rock glacier Murtèl-Corvatsch in combination with meteorological data, such as air temperature, snow depth and radiation to analyze the dominant heat transfer mechanisms during the different seasons. The main focus was to assess the contribution of convective processes. The potential for free convection was estimated using the Rayleigh number. In addition, the air circulation within the uppermost active layer measured by three wind sensors was taken into consideration. These data were compared with the other climate variables of the nearby meteorological station. After analyzing the data, it can be concluded that the potential for free convection in the cavities of the upper blocky layer is high as soon as the stable thermal stratification during the summer month gets instable due to a cooling of the surface. Especially in the autumn and early winter months a strong ground cooling could be observed caused by the low air temperatures and the related vertical convective heat exchange. These processes are limited by the formation of a continuous snowpack. A thick snow cover limits to a large extent the exchange with the atmosphere. Within the blocky layer, however, the potential for convection is still high. During snowmelt in spring, the latent heat transfer is the dominant process. During the summer month, the snow-free period, air circulation in the blocky layer is mainly caused by forced convection. However, this effect decreases with increasing depth of the blocky layer. The analysis of the wind sensor data shows that the ventilation system in the blocky layer is very variable and complex. However, some interpretations could be done. A) it can be shown that the airflow velocities within the blocky layer in the snow-free season are influenced by the atmospheric wind speed. B) in summer and autumn the effect of free convection could be identified with help of the measured air flow velocities and a comparison with the temperature data. C) the formation of a continuous snow cover reduces the airflow velocities, and the influence of forced convection. This effect is intensified during spring by the formation of ground ice caused by percolating melt water. Through the comparison of air and ground temperatures with the airflow velocities convective processes could be detected during a prolonged period in autumn, winter and sometimes even in spring. This indicates that convective processes in the microclimate of the active layer at the rock glacier Murtèl-Corvatsch site play probably a larger role than previously expected.

247

Boundary layer flow and heat transfer over an exponentially shrinking vertical sheet with suction  

In this paper, we investigate theoretically the problem of steady laminar two-dimensional boundary layer flow and heat transfer of an incompressible viscous fluid in the presence of buoyancy force over an exponentially shrinking vertical sheet with suction. The shrinking velocity and wall temperature are assumed to have specific exponential function forms. The governing equations are first transformed to similarity equations using an appropriate similarity transformation. The resulting equations were then solved numerically using shooting technique involving fourth-order Runge-Kutta method and Newton-Raphson method. The influence of mixed convection/buoyancy parameter @l, suction parameter s and Prandtl number Pr on the flow and heat transfer characteristics is examined and discussed. Nume...

248

Conjugate heat transfer in thermally developing laminar flow with viscous dissipation effects  

In this study, thermally developing laminar forced convection in a pipe including viscous dissipation and wall conductance is investigated numerically. The constant heat flux is assumed to be imposed at the outer surface of the pipe wall. The finite volume method is used. The distributions for the developing temperature and local Nusselt number in the entrance region are obtained. The dependence of the results on the Brinkman number and the dimensionless thermal conductivity are shown. The viscous heating effect on the wall is shown. Significant viscous dissipation effects have been observed for large Br.

249

Natural Convection on a Horizontal Cone in a Porous Medium with Non-Uniform Wall Temperature/Concentration or Heat/Mass Flux and Suction/Injection  

The steady natural convection flow on a horizontal cone embedded in a saturated porous medium with non-uniform wall temperature/concentration or heat/mass flux and suction/injection has been investigated. Non-similar solutions have been obtained. The nonlinear coupled differential equations under boundary layer approximations governing the flow have been numerically solved. The Nusselt and Sherwood numbers are found to depend on the buoyancy forces, suction/injection rates, variation of wall temperature/concentration or heat/mass flux, Lewis number and the non-Darcy parameter.

250

Combined heat and mass transfer by natural convection in a saturated thermally stratified porous medium  

A numerical study is presented for the combined heat and mass transfer by natural convection adjacent to a vertical surface embedded in a stably thermally stratified, fluid-saturated, low-porosity medium. A wide range of thermal stratification levels is considered in flows with both aiding and opposing buoyant forces. The thermal stratification was shown to have a profound influence on the heat and mass transfer rates and on the direction of flow and transport. The underlying physical phenomena are explained while providing the Nusselt and Sherwood number data.

251

Combined heat and mass transfer by natural convection in a saturated thermally stratified porous medium  

A numerical study is presented for the combined heat and mass transfer by natural convection adjacent to a vertical surface embedded in a stably thermally stratified, fluid-saturated, low porosity medium. A wide range of thermal stratification levels is considered in flows with both aiding and opposing buoyant forces. The thermal stratification was shown to have a profound influence on the heat and mass transfer rates, and the direction of flow and transport. The underlying physical phenomena are explained while providing the Nusselt and Sherwood number data.

252

Effect of thermal and mass buoyancy forces on the development of laminar mixed convection between vertical parallel plates with uniform wall heat and mass fluxes  

The effect of thermal and mass buoyancy forces on the development of laminar mixed convection between two vertical parallel plates with uniform heat and mass fluxes has been investigated numerically. Velocity, temperature and concentration profiles have been presented. The effect of the different parameters on heat and mass transfer between the plates has been discussed for positive and negative values of the buoyancy ratio, N. The results showed that positive N increases the Nusselt number and Sherwood number, while negative N decreases them. Schmidt number has the highest effect on the Nusselt number and Sherwood number. (authors)

253

Numerical analysis of laminar forced convection in the entrance region of tubes with longitudinal internal fins  

Steady, laminar, forced convection heat transfer in the thermal entrance region of internally finned tubes is investigated numerically for the case of fully developed hydrodynamics using the uniform heat input axially with uniform wall (tube fins) temperature cross-sectionally and uniform wall temperature axially and cross-sectionally thermal boundary conditions. Results are presented for 16 geometries including the local Nusselt number and developing length corresponding to each boundary condition. These results indicate that internal finning influences the thermal development in a complicated way, which makes it inappropriate to extend the smooth tube results to internally finned tubes on a hydraulic diameter basis.

254

LES of buoyant turbulent convection in a vertical slot based on a novel dynamic nonlinear sub-grid-scale model  

A nonlinear sub-grid-scale (SGS) stress model based on a quadratic constitutive relation developed previously for the RANS approach is introduced in large eddy simulation (LES) of turbulent thermal flows. This model is combined with a linear and nonlinear SGS heat flux model, and applied to LES of combined forced and natural turbulent convection in a vertical slot with two differentially heated side walls. The prediction for the resolved-scale fields is compared to that based on a dynamic Smagorinsky model (DM), as well as DNS results. The combination of nonlinear SGS models yields improved predictions compared to those of conventional linear models. (authors)

255

Simulation of compressible and nearly incompressible viscous flows; Simulacao de escoamentos viscosos e compressiveis e quase-incompressiveis  

We present the development of a computer program for the compressible and nearly incompressible flows simulation using a two dimensional formulation of the Navier-Stokes equations. Future applications will include the numerical simulation of thermal stratification flows in nuclear equipment and of heat transfer problems in either free or forced convection. This kind of formulation does not require the use of empirical correlations for friction or heat transfer coefficients. Thus, it permits more realistic simulation of the physical phenomena. (author). 3 refs., 3 figs.

256

Transient Forced Convection Heat Transfer due to Exponentially Increasing Heat Input for Helium Gas Flowing on a Narrow Plate  

Forced convection transient heat transfer for helium gas at various periods of exponentially increasing heat input (Q0exp(t/?)) to a horizontal plate (ribbon) was experimentally and theoretically studied. In the experimental studies, the authors measured heat flux, surface temperature, and transient heat transfer coefficients for forced convection flow of helium gas over the horizontal plate under wide experimental conditions. The platinum plate with a length of 50 mm was used as a test heater. The gas flow velocities ranged from 4 to 10 m/s, the gas temperatures ranged from 313 to 353 K, and the periods of heat generation rate, ?, ranged from 46 ms to 17 s. The pressures were from 400 to 800 kPa. It was clarified that the heat transfer coefficient approaches the quasi-steady-state one for the period longer than about 1 s, and it becomes higher for the period shorter than around 1 s. Empirical correlations for quasi-steady state heat transfer and transient one were obtained based on the experimental data under various pressures. In the theoretical study, transient heat transfer was numerically solved based on a turbulent flow model. The values of numerical solutions for surface temperature and heat flux were compared and discussed with authors' experimental values. It was obtained that the surface temperature difference and heat flux increase exponentially as the heat generation rate increases with the exponential function. It is understood that the gradient of the temperature distribution near the heater surface is higher at a higher surface temperature difference. The values of numerical solutions for heat flux agree well with the experimental data, though surface temperatures show some differences.   

257

Mixed Convection in the VHTR in the Event of a LOFA  

The US Department of Energy, Office of Nuclear Energy (DOE-NE) is supporting the development of a very high temperature reactor (VHTR) concept as the primary focus of it next generation nuclear power plant (NGNP) program. The VHTR is cooled by forcing helium downwards through the core into the lower plenum and out the hot duct. In the event that the coolant circulators are lost, the driving pressure drop across the core will reduce to zero and there will be the opportunity for natural circulation to occur. During the time that the circulators are powering down, the heat transfer in the core from the graphite blocks to the helium coolant will transform from turbulent forced convection to mixed convection, where buoyancy effects become important, to free or natural convection, where buoyancy is dominant. Analysis of the nature of the forced, mixed and free convection is best done using computational fluid dynamic (CFD) software that can provide fine details of the flow and heat transfer. However, CFD analysis involves approximations in the results because of the finite nature of the spatial and temporal discretizations required, the inexact nature of the turbulence models that are used and the finite precision of the computers employed. Therefore, it is necessary to validate the CFD computations. Validation is accomplished by comparing results from specific CFD computations to experimental data that have been taken specifically for the purpose of validation and that are related to the physical phenomena in question. The present report examines the flow and heat transfer parameters (dimensionless numbers) that characterize the flow and reports ranges for their values based on specific CFD studies performed for the VHTR.

258

Effects of forced wall vibration on the onset of flow instability and critical heat flux in uniformly-heated microchannels  

Numerous experimental and theoretical investigations on two-phase flow instability and burnout in heated microchannels have been reported in the literature. However none of these investigations deals with the possible effects of wall vibrations on such flow boiling processes within microchannels. Fluid-structure interaction in ultra high power density systems cooled by high velocity single phase forced convection in microchannels may result in vibration amplitudes that are a significant fraction of the diameter of the channel. Such vibrations may significantly impact vapor bubble dynamics at the wall and, hence, the limiting heat fluxes corresponding to the onset of flow instability and/or burnout. The primary purpose of this research was to experimentally quantify the effect of forced wall vibration on the onset of flow instability (OFI) and the critical heat flux (CHF) in uniformly-heated annular microchannels. The secondary interest of this investigation was to compare the experimental data collected in the single-phase regime to commonly used single-phase forced convection correlations. Experimental data acquired in the flow boiling regime were to be utilized to confirm the validity of common flow boiling correlations for microchannel flow. The influence of forced wall vibration on subcooled single-phase forced convection and flow boiling was examined. The Georgia Tech Microchannel Test Facility (GTMTF) was modified to allow such experiments to be conducted at controlled values of transverse wall vibration amplitudes and accelerations for a range of frequencies. The channel demand curves were obtained for various inner and outer surface heat fluxes. Experiments were conducted for broad ranges of transverse wall vibration amplitudes over a range of frequencies. The experiments conducted in this investigation provide designers of high power density systems cooled by forced convection in microchannels with the appropriate data and correlations to confidently design systems under realistic operational conditions, including the potentially significant effects of fluid-structure interactions. The data also provides the basis for development and validation of future models on the effect of wall vibrations on bubble dynamics in flow boiling systems. The observed enhancements in OFI and CHF resulting from wall vibration suggest that correlations for undisturbed channels can be conservatively used for system design calculations.

259

Predicting predominant thermal convection in thermohaline flows in saturated porous media  

We study a thermohaline system in which the density gradients arise from salinity and temperature differences. Such systems arise in e.g. geological waste storage and geothermal energy exploitation. A sedimentary-basin set-up is investigated where salinity and temperature increase with depth. In such systems, the buoyancy forces caused by salinity and temperature gradients give rise to counter-acting convection cells. The homogenization theory ideas from Held et al. (2005) [1] are applied to the solute and heat transport equations and the two resulting cell problems solved with the coupling between the heat and solute transport preserved. A dimensionless number whose sign changes to negative when thermal-convection is predominant is derived from the solutions to the cell problems in terms ...

260

Experimental heat transfer and fluid flow over drift-emplaced canisters  

Drift-emplaced waste canisters are under consideration for the long-term storage of high-level spent fuel in the proposed underground repository at Yucca Mountain. These canisters will be placed on pedestals above the floor of the drifts and exchange heat with the walls of the drift and with air circulating through the repository. To assess the requirements of the repository ventilation system, values of the dimensionless convective heat transfer coefficient and the pressure drop across individual canisters were measured in a experimental model of a drift. The results were curvefitted as functions of the spacing between the canisters and the Reynolds number of the flow. Both natural and forced convection effects were investigated.

 
 
 
 
261

The investigation of conjugate heat transfer phenomena in advanced fast reactors  

In this paper, conjugate heat transfer associated with the flow of sodium in an annulus in the decay heat removal mode of advanced fast reactors is studied. The coupled governing equations of momentum and energy are solved numerically and analytically. The TEACH code with the SIMPLE algorithm has been used for the internal forced flow and wall regions. For turbulent flow, a k-{epsilon} model is employed. The integral method is used for natural convection, and one-dimensional analysis is performed for the stratified flow over and underneath the redan. Results are presented for the two-dimensional temperature field in the fluids and the solid for both laminar and turbulent flows. A substantial amount of energy exchange between the hot or cold pool and the sodium flowing in the annulus occurs via the liner. As a result, convective boundary layers form along the liner.

262

Effect of buoyancy on the wakes of circular and square cylinders: a schlieren-interferometric study  

Wakes behind heated cylinders, circular, and square have been experimentally investigated at low-Reynolds numbers. The electrically heated cylinder is mounted in a vertical airflow facility such that buoyancy aids the inertia of main flow. The operating parameters, i.e., Reynolds number and Richardson number are varied to examine flow behavior over a range of experimental conditions from forced to mixed convection regime. Laser schlieren-interferometry has been used for visualization and analysis of flow structures. Complete vortex shedding sequence has been recorded using a high-speed camera. The results on detailed dynamical characteristics of vortical structures, i.e., their size, shape and phase, Strouhal number, power spectra, convection velocity, phase shift, vortex inception length,...

263

A methodology to model flow-thermals inside a domestic gas oven  

In this paper, the authors describe development of a CFD based methodology to evaluate performance of a domestic gas oven. This involves modeling three-dimensional, unsteady, forced convective flow field coupled with radiative participating media. Various strategies for capturing transient heat transfer coupled with mixed convection flow field are evaluated considering the trade-off between computational time and accuracy of predictions. A new technique of modeling gas oven that does not require detailed modeling of flow-thermals through the burner is highlighted. Experiments carried out to support this modeling development shows that heat transfer from burners can be represented as non-dimensional false bottom temperature profiles. Transient validation of this model with experiments show ...

264

An investigation of sensible heat fluxes at a green roof in a laboratory setup  

During the last few years, several models have been proposed for the calculation of green roof thermal behavior, but the validation studies of such models are lacking a comprehensive set of highly accurate data. In this study, an experimental laboratory setup was used to create different environmental conditions and to measure sensible heat fluxes to/from a vegetated roof assembly. This experimental setup has been successfully used for different wind velocities (0-3 m/s) to create free and forced convection conditions around green roof tested samples. Furthermore, our study proposed a "basic model" for calculations of the convective heat transfer at green roof assemblies, which is a modified version of the Newton’s cooling law, calibrated and then validated with different sets of da...

265

Thermal ocean surface conditions  

On the basis of analyzing mechanisms of instability in the viscosity of sublayers and in the sublayer of a low-calorie heat conduction on the ocean surface, in which there is both a mass movement and an absence of heat conduction, a certain non-measured parameter F is defined, which characterizes the thermal condition of the surface. When F is less than one, and the top layer is below the low-calorie conductive layer, a regime is realized where there is free convection, and in a contrary case, this convection is forced. On the basis of the analysis conducted, data is interpreted from vertical sound probing of the thermal structure in the ocean surface layer. This data was obtained during sonar probing in the equatorial regions of the Atlantic Ocean during a 29 month voyage by the vessel NIS ''Akademik Kurchatov'' (international program PGEP-79).

266

Heat transport in rotating convection without Ekman layers  

Numerical simulation of rotating convection in plane layers with free slip boundaries show that the convective flows can be classified according to a quantity constructed from the Reynolds, Prandtl and Ekman numbers. Three different flow regimes appear: Laminar flow close to the onset of convection, turbulent flow in which the heat flow approaches the heat flow of non-rotating convection, and an intermediate regime in which the heat flow scales according to a power law independent of thermal diffusivity and kinematic viscosity.

267

Heat transfer enhancement for thermal energy storage using metal foams embedded within phase change materials (PCMs)  

In this paper the experimental investigation on the solid/liquid phase change (melting and solidification) processes have been carried out. Paraffin wax RT58 is used as phase change material (PCM), in which metal foams are embedded to enhance the heat transfer. During the melting process, the test samples are electrically heated on the bottom surface with a constant heat flux. The PCM with metal foams has been heated from the solid state to the pure liquid phase. The temperature differences between the heated wall and PCM have been analysed to examine the effects of heat flux and metal foam structure (pore size and relative density). Compared to the results of the pure PCM sample, the effect of metal foam on solid/liquid phase change heat transfer is very significant, particularly at the solid zone of PCMs. When the PCM starts melting, natural convection can improve the heat transfer performance, thereby reducing the temperature difference between the wall and PCM. The addition of metal foam can increase the overall heat transfer rate by 3-10 times (depending on the metal foam structures and materials) during the melting process (two-phase zone) and the pure liquid zone. The tests for investigating the solidification process under different cooling conditions (e.g. natural convection and forced convection) have been carried out. The results show that the use of metal foams can make the sample solidified much faster than pure PCM samples, evidenced by the solidification time being reduced by more than half. In addition, a two-dimensional numerical analysis has been carried out for heat transfer enhancement in PCMs by using metal foams, and the prediction results agree reasonably well with the experimental data. (author)

268

Experimental study of low-frequency oscillations and large-scale circulations in turbulent mixed convection  

The formation and dynamics of large-scale circulations in forced and mixed convection has been studied at ambient and elevated fluid pressure by means of particle image velocimetry and temperature measurements. The study has been conducted in two rectangular containers of the same shape and aspect ratios of {Gamma}{sub xz} = 1 and {Gamma}{sub yz} = 5. For the measurements at high fluid pressure the dimensions of the cell have been scaled down by a factor of 5. Air with Pr = 0.7 has been used as fluid in both configurations. Forced convection has been investigated at Re = 1.01 x 10{sup 4} and mixed convection has been studied at Ar = 3.3, Re = 1.01 x 10{sup 4} and Ra = 2.4 x 10{sup 8}. In this configuration low-frequency oscillations in the heat transfer between the inlet and outlet have been found for mixed convection. Instantaneous velocity vector fields obtained from particle image velocimetry have been analysed using proper orthogonal decomposition and an algorithm to detect the core and the core centre position of large-scale circulations.

269

Impacts of nanofluid flow on skin friction factor and Nusselt number in curved tubes with constant mass flow  

Three-dimensional elliptic governing equations were solved to investigate laminar mixed convection of a nanofluid consists of water and Al{sub 2}O{sub 3}, buoyancy-affected and heat transfer of a curved tube. Simultaneous effects of the buoyancy force, centrifugal force and nanoparticles concentration on the fluid flow developing and heat transfer along the pipe is investigated in this paper. The nanoparticles concentration does not have any significant effect on the secondary flow, while the axial velocity, Nusselt number, skin friction factor as well as fluid temperature have been affected considerably. In this paper, some important new results are obtained. Firstly, for a given flow rate; nanoparticles concentration have positive effects on the axial velocity and skin friction factor. Secondly, buoyancy force has negative effect on the Nusselt number and skin friction factor.

270

Cloud-system resolving model simulations of aerosol indirect effects on tropical deep convection and its thermodynamic environment  

This paper presents results from 240-member ensemble simulations of aerosol indirect effects on tropical deep convection and its thermodynamic environment. Simulations using a two-dimensional cloud-system resolving model are run with pristine, polluted, or highly polluted aerosol conditions and large-scale forcing from a 6-day period of active monsoon conditions during the 2006 Tropical Warm Pool - International Cloud Experiment (TWP-ICE). Domain-mean surface precipitation is insensitive to aerosols primarily because the large-scale forcing is prescribed and dominates the water and static energy budgets. The spread of the top-of-atmosphere (TOA) shortwave and longwave radiative fluxes among different ensemble members for the same aerosol loading is surprisingly large, exceeding 25 W m-2 even when averaged over the 6-day period. This variability is caused by random fluctuations in the strength and timing of individual deep convective events. The ensemble approach demonstrates a small weakening of convection averaged over the 6-day period in the polluted simulations compared to pristine. Despite this weakening, the cloud top heights and anvil ice mixing ratios are higher in polluted conditions. This occurs because of the larger concentrations of cloud droplets that freeze, leading directly to higher ice particle concentrations, smaller ice particle sizes, and smaller fall velocities compared to simulations with pristine aerosols. Weaker convection in polluted conditions is a direct result of the changes in anvil ice characteristics and subsequent upper-tropospheric radiative heating and weaker tropospheric destabilization. Such a conclusion offers a different interpretation of recent satellite observations of tropical deep convection in pristine and polluted environments compared to the hypothesis of aerosol-induced convective invigoration. Sensitivity tests using the ensemble approach with modified microphysical parameters or domain configuration (horizontal gridlength, domain size) produce results that are similar to baseline, although there are quantitative differences in estimates of aerosol impacts on TOA radiative fluxes.

271

The effect of vertical magnetic field on liquid metal Rayleigh-Benard convection  

Thermal convection of liquid metals is considerably influenced by imposing an external magnetic field. Such magnetoconvective flows control the heat and tritium removal from the breeding material in current fusion blanket designs. A magnetic field may be used to influence the heat transfer controlled solidification in material processing like casting or crystal growth. As the geometries of technical applications are rather complex, a fundamental understanding of the phenomena may only be obtained from simple well defined configurations. This report presents an experimental study of the influence of a vertical magnetic field on the integral heat transfer and the temporal behavior of liquid metal Rayleigh-Benard convection. At this specific configuration the horizontal symmetry of the convective flow patterns is not changed by the electromagnetic forces and therefore the magnetic field exerts mainly a damping effect on the convective motions by Joule's dissipation. The test section is a rectangular box of large aspect ratio 20:10:1 whereby a parameter range of Rayleigh numbers 0<Ra<10{sup 5} and Chandrasekhar numbers 0<Q<14400 is covered. The Prandtl number of test fluid sodium potassium Na{sup 22}K{sup 78} is very small i.e. Pr{approx}0.02 and therefore the nonlinear inertial forces lead to strong time dependent flow. The integral heat transfer across the layer is characterized by the Nusselt number, calculated from the time averaged temperatures at the upper and the lower boundary. Local, time-dependent temperatures are evaluated from a four-element temperature probe placed in the middle of the liquid metal layer. The non-coplanar arrangement of the thermocouples enables the evaluation of the time-dependent temperature gradient vector which allows to estimate the local isotropy properties of the time dependent flow. (orig.)

272

Local Heat Transfer and CHF for Subcooled Flow Boiling - Annual Report 1994  

The physical phenomenon of forced convective boiling is probably one of the most interesting and complex transport phenomena. It has been under study for more than two centuries. Simply stated, forced convective subcooled boiling involves a locally boiling fluid: (1) whose mean temperature is below its saturation temperature, and (2) that flows over a surface exposed uniformly or non-uniformly to a high heat flux (HHF). The objective of this work is to assess and/or improve the present ability to predict local axial heat transfer distributions in the subcooled flow boiling regime for the case of uniformly heated coolant channels. This requires an accurate and complete representation of the boiling curve up to the CHF. The present. results will be useful for both heat transfer research and industrial design applications. Future refinements may result in the application of the results to non-uniformly heated channels or other geometries, and other fluids. Several existing heat transfer models for uniformly heated channels were examined for: (1) accurate representation of the boiling curve, and (2) characterizing the local heat transfer coefficient under high heat flux (HHF) conditions. Comparisons with HHF data showed that major correlation modifications were needed in the subcooled partial nucleate boiling (SPNB) region. Since the slope of boiling curve in this region is important to assure continuity of the HHF trends into the fully developed boiling region and up to the critical heat flux, accurate characterization in the SPNB region is essential. Approximations for the asymptotic limits for the SPNB region have been obtained and have been used to develop an improved composite correlation. The developed correlation has been compared with 363 water data points. For the local heat transfer coefficient and wall temperature, the over-all percent standard deviations with respect to the data were 19% and 3%, respectively, for the high velocity water data.

273

Multi-dimensional modeling of a thermal energy storage canister  

The Solar Dynamic Power Module being developed for Space Station Freedom uses a eutectic mixture of LiF-CaF2 phase change material (PCM) contained in toroidal canisters for thermal energy storage. Presented are the results from heat transfer analyses of a PCM containment canister. One and two dimensional finite difference computer models are developed to analyze heat transfer in the canister walls, PCM, void, and heat engine working fluid coolant. The modes of heat transfer considered include conduction in canister walls and solid PCM, conduction and pseudo-free convection in liquid PCM, conduction and radiation across PCM vapor filled void regions, and forced convection in the heat engine working fluid. Void shape, location, growth or shrinkage (due to density difference between the solid and liquid PCM phases) are prescribed based on engineering judgment. The PCM phase change process is analyzed using the enthalpy method. The discussion of the results focuses on how canister thermal performance is affected by free convection in the liquid PCM and void heat transfer. Characterizing these effects is important for interpreting the relationship between ground-based canister performance (in 1-g) and expected on-orbit performance (in micro-g). Void regions accentuate canister hot spots and temperature gradients due to their large thermal resistance. Free convection reduces the extent of PCM superheating and lowers canister temperatures during a portion of the PCM thermal charge period. Surprisingly small differences in canister thermal performance result from operation on the ground and operation on-orbit. This lack of a strong gravity dependency is attributed to the large contribution of container walls in overall canister energy redistribution by conduction.

274

Multi-dimensional modeling of a thermal energy storage canister. M. S. Thesis - Cleveland State Univ. , Dec. 1990  

The Solar Dynamic Power Module being developed for Space Station Freedom uses a eutectic mixture of LiF-CaF2 phase change material (PCM) contained in toroidal canisters for thermal energy storage. Presented are the results from heat transfer analyses of a PCM containment canister. One and two dimensional finite difference computer models are developed to analyze heat transfer in the canister walls, PCM, void, and heat engine working fluid coolant. The modes of heat transfer considered include conduction in canister walls and solid PCM, conduction and pseudo-free convection in liquid PCM, conduction and radiation across PCM vapor filled void regions, and forced convection in the heat engine working fluid. Void shape, location, growth or shrinkage (due to density difference between the solid and liquid PCM phases) are prescribed based on engineering judgment. The PCM phase change process is analyzed using the enthalpy method. The discussion of the results focuses on how canister thermal performance is affected by free convection in the liquid PCM and void heat transfer. Characterizing these effects is important for interpreting the relationship between ground-based canister performance (in 1-g) and expected on-orbit performance (in micro-g). Void regions accentuate canister hot spots and temperature gradients due to their large thermal resistance. Free convection reduces the extent of PCM superheating and lowers canister temperatures during a portion of the PCM thermal charge period. Surprisingly small differences in canister thermal performance result from operation on the ground and operation on-orbit. This lack of a strong gravity dependency is attributed to the large contribution of container walls in overall canister energy redistribution by conduction.

275

Application of the similarity theory including variable property effects to a complex benchmark problem  

An asymptotic method to account for variable property effects, recently described in this journal, is now applied to a complex benchmark geometry. It is a room which is ventilated by forced convection through inlet and outlet slit nozzles at the top and bottom of the side walls. Four heating elements standing on the ground floor add heat with constant heat flux density of varying strength. CFD solutions with the full coverage of all property temperature dependencies of air and SF6 are compared with asymptotic results (ACFD), applied for these fluids. ACFD results are given as systematic expansions with respect to a heat transfer parameter {\\varepsilon} which serves as perturbation parameter. First and second order asymptotic results of the Nußelt number at the surface of the heating elements are shown as well as temperature distributions along the adiabatic walls of the room. Special attention is given to the reference Nußelt numbers of zero order {(\\varepsilon=0)} which are those for constant properties only for pure forced convection.

276

Device for converting thermal energy into mechanical energy with a rotor made of ferro-magnetic material and permanent magnets. Vorrichtung zur Umwandlung von thermischer Energie in mechanische Energie mit einem Rotor aus ferromagnetischem Material und Permanentmagneten  

The device for improving the efficiency of a Curie motor, according to the invention, consists of two vertically orientated, adjacent endless belts running over two reversing rollers each. One of these belts has permanent magnets fitted at regular intervals and the other belt made of ferro-magnetic material is situated in a closed container filled with a heat transfer medium (e.g. water). The upper roller of this belt has heat supplied to it, so that the ferro-magnetic material is heated above its Curie point. In the lower part, the permanent magnets exert a force on the belt consisting of ferro-magnetic material, which increases with decreasing distance. A tensile force is therefore exerted on both belts, which sets them into motion. The convection of the water ensures that the upper roller is at a temperature above the Curie temperature and the lower roller is at a temperature below the Curie temperature. (LU).

277

Influence of heat and mass transfer on the ignition and NO x formation in single droplet combustion  

The effect of heat and mass transfer on the ignition, and in a second step on the nitrogen oxide (NO x ) generation, of single burning droplets is examined in a numerical study. Spherical symmetry with no gravity and no forced convection is presumed; ambient temperature is set at 500 K, below the auto-ignition point. The essentials of a forced droplet ignition by an external energy source are introduced. Two methods are applied: heat introduction at a fixed radial position r and heat introduction at a fixed local equivalence ratio ? r . This study?s distinctiveness compared to previous research is its focus on and its combination of partially pre-vaporized droplets and detailed chemistry, both being technically relevant in kerosene and diesel fuel combustion. The fuel of choice is n-decane...

278

Condenser design optimization and operation characteristics of a novel miniature loop heat pipe  

Loop heat pipe (LHP) is a promising means for electronics cooling since LHP is a exceptionally efficient heat transfer device. In this paper, a novel miniature LHP (mLHP) system is presented and optimal design of condenser is considered seeing that evaporators have been able to handle very high-heat fluxes with low-heat transfer resistances since most of the previous researchers focused on the evaporator of mLHP. The arrayed pins were designed and machined out on the bottom of condenser to enhance condensation heat transfer. The parameters of the arrayed pins, including layout, cross-section shape and area, were optimized by finite element analysis. Tests were carried out on the mLHP with a CPU thermal simulator using forced air convection condenser cooling to validate the optimization. Th...

279

Transient response of microchannel heat sinks in a silicon substrate  

The transient conjugated heat transfer in forced convection for simultaneously developing laminar flow inside a microchannel heat sink is studied by solving the steady momentum equation and the transient energy equation. A parametric study is performed to understand the effects of channel depth and width, Reynolds number, spacing between channels and solid to fluid thermal conductivity ratio. Silicon as well as indium phosphide are used as wafer`s material. Step and pulsed variations of the heat load are analyzed. Results show that the time required for the heat transfer to reach steady state condition is longer for the system with larger D and S or smaller Re and W. Characteristics results for the fluid mean temperature at the exit, solid maximum temperature, local Nusselt number, and local heat flux are presented graphically as functions of position and time.

280

Effects of multiple obstructions on conjugate forced convection heat transfer in tubes  

A numerical investigation has been carried out for conjugate forced convection heat transfer in tubes with multiple obstructions. The investigation included the ranges of Reynolds number Re, thermal conductivity ratio k{sub r}, and the distance between two obstructions d of 50--600, 0.3--3.0, and 2.0--8.0, respectively. A fluid Prandtl number Pr of 7.56 is used. The obstructions create recirculation flow/back flow in the tube with increase and decrease of local heat transfer rates. Reversal in the direction of heat transfer occurs at certain locations of the tube due to the presence of the obstructions. At high values of Re and d, reversal in the direction of heat transfer occurs on the outer wall after the second obstruction. The overall heat transfer rate decreases with the decrease of k{sub r}.

 
 
 
 
281

Heat and Mass Transfer in Nucleate Boiling Regime of HE I in a Natural Circulation Loop  

This paper is devoted to the experimental study of He I natural circulation loop under nucleate boiling conditions, which simulates the cooling system of the 4 Tesla superconducting solenoid CMS under construction at CERN for the LHC. The test section consists of an electrically heated copper tube of 0.010 m ID and 0.95 m long. Uniform heat fluxes in the range of 0-2000 W/m2 were employed. All data were generated near atmospheric pressure. Reported are results of the boiling curves and the effect of heat flux on the heat transfer coefficient under boiling. An attempt is carried out to predict the boiling incipience and to correlate the heat transfer coefficient based on the combining effect of forced convection and nucleate boiling by a power-type asymptotic model.

282

Application of the similarity theory including variable property effects to a complex benchmark problem  

An asymptotic method to account for variable property effects, recently described in this journal, is now applied to a complex benchmark geometry. It is a room which is ventilated by forced convection through inlet and outlet slit nozzles at the top and bottom of the side walls. Four heating elements standing on the ground floor add heat with constant heat flux density of varying strength. CFD solutions with the full coverage of all property temperature dependencies of air and SF6 are compared with asymptotic results (ACFD), applied for these fluids. ACFD results are given as systematic expansions with respect to a heat transfer parameter Formula Not Shown which serves as perturbation parameter. First and second order asymptotic results of the Nu?elt number at the surface of the heating el...

283

Development of a theoretically based thermal model for lithium ion battery pack  

Based on the porous electrode and concentrated solution theory, a thermal model is developed for lithium ion battery pack. The accuracy of predicted battery temperatures is validated by charge-discharge cycling experiments under natural and forced convection conditions. The heat generation and dissipation rates of battery under different conditions are simulated by the proposed model and the results indicate that: (1) the SOC change has a significant effect on the reversible heat generation rate but has almost no influence on the irreversible heat generation rate; (2) the generation rates of reversible and irreversible heat during charge are almost equal to that during discharge with the same SOC and current rate, but the effect of reversible heat on battery temperature is opposite; (3) fo...

284

Stability analysis and bifurcations in Soret convection within a shallow porous enclosure  

The present study concerns a stability analysis of a Soret convection within a porous layer subject to uniform fluxes of heat and solute on its horizontal boundaries. The solutal buoyancy forces are induced by the imposition of a solute gradient and by the thermal diffusion phenomenon. The Brinkman-extended Darcy model and the Boussinesq approximation are used to model the convective flow through the porous medium. Based on linear stability theory, the resulting linear perturbed equations are solved numerically using the finite element method. An analytical solution is derived on the basis of the parallel flow approximation, and validated against the numerical results obtained by solving the full governing equations using a finite difference method. The results corresponding to the cases of double-diffusive convection (without Soret effect) and Soret convection (with zero mass flux) are recovered by the present formulation as limiting cases. The two other limiting cases, namely the low porosity Darcy porous medium and the clear fluid medium emerge also from the present investigation. The critical Rayleigh numbers for the onset of subcritical and stationary convection are determined explicitly as functions of the governing parameters. The threshold of Hopf bifurcation is determined as function of the governing parameters by performing a linear stability analysis of the perturbed rest state. The existence of two codimension-2points (subcodimension-2 and Hopf-codimension-2) is proved and different flow regimes are delineated. The diagrams of stability show that there exists a range of Lewis number in which the subcritical convection disappears. It is shown that the thermal diffusion, has a strong effect on the instability thresholds and on heat and mass transfer characteristics. (author)

285

Non-Darcian convective heat transfer in a horizontal duct  

This paper reports preliminary results of a numerical study on non-Darcian mixed convective heat transfer in a horizontal porous duct discretely heated from below. Two porous media, small glass beads (medium porosity) and a fibrous metal foam (high porosity) are considered, and are assumed saturated with water or air. Numerical results are obtained for different Rayleigh and Peclet numbers to include flows from the buoyancy-dominated through mixed convection to the forced flow. For the two extremes, different numerical formulations are used for fast convergence. It is found that, although the inclusion of non-Darcy effects does not change the qualitative nature of flow and temperature distributions in the bulk of field, those near the heat source are affected significantly, especially at high Rayleigh numbers in both natural and mixed convection regimes. The deviation is also large at very high Peclet numbers for metal foam. The individual contributions of inertia and viscous terms to non-Darcy corrections are evaluated and the local Nusselt number and horizontal velocity profile above the heat source are presented to illustrate the nature of the deviation.

286

Experimental techniques for measuring temperature and velocity fields to improve the use and validation of building heat transfer models  

When modeling thermal performance of building components and envelopes, researchers have traditionally relied on average surface heat-transfer coefficients that often do not accurately represent surface heat-transfer phenomena at any specific point on the component being evaluated. The authors have developed new experimental techniques that measure localized surface heat-flow phenomena resulting from convection. The data gathered using these new experimental procedures can be used to calculate local film coefficients and validate complex models of room and building envelope heat flows. These new techniques use a computer-controlled traversing system to measure both temperatures and air velocities in the boundary layer near the surface of a building component, in conjunction with current methods that rely on infrared (IR) thermography to measure surface temperatures. Measured data gathered using these new experimental procedures are presented here for two specimens: (1) a Calibrated Transfer Standard (CTS) that approximates a constant-heat-flux, flat plate; and (2) a dual-glazed, low-emittance (low-e), wood-frame window. The specimens were tested under steady-state heat flow conditions in laboratory thermal chambers. Air temperature and mean velocity data are presented with high spatial resolution (0.25- to 25-mm density). Local surface heat-transfer film coefficients are derived from the experimental data by means of a method that calculates heat flux using a linear equation for air temperature in the inner region of the boundary layer. Local values for convection surface heat-transfer rate vary from 1 to 4.5 W/m{sup 2} {center_dot} K. Data for air velocity show that convection in the warm-side thermal chamber is mixed forced/natural, but local velocity maximums occur from 4 to 8 mm from the window glazing.

287

A general similarity transformation for combined free and forced-convection flows within a fluid-saturated porous medium  

It is the purpose of the present paper to introduce a general transformation procedure appropriate to the problem of combined free and forced convection in a porous medium. It will be shown that particular transformations proposed in the previous papers by Cheng and Minkowycz and co-workers are simply the specific forms of the present general transformation. Pure forced convection will be treated first as a limiting case of combined free and forced convection. The analysis reveals that any two-dimensional or axisymmetric body of arbitrary shape possesses its corresponding class of wall temperature distributions which permit similarity solutions. Secondly, combined free and forced convection will be considered to seek similarity solutions. It is found that, unlike in pure forced convection, similarity solutions in mixed convection are possible only when the external free-stream velocity varies every where in proportion to the product of the streamwise component of the gravity force and the wall-ambient temperature difference.

288

Parametric Excitation, Localization and Synchronization in Nonlinear Hydrodynamical Systems  

The dissertation contains 4 original chapters: 1) Parametric excitation of Soret-driven convection of binary mixture in a horizontal porous layer. 2) Soret-driven convection in a horizontal porous layer from a heat or concentration source. 3) Localization of convective flows under randomly inhomogeneous heating. 4) Synchrony of nonlinear systems driven by common noise.

289

Characterization of the boundary condition in heat treatment operations using an inverse heat conduction algorithm  

The accurate determination of the heat transfer boundary condition is a crucial component of mathematical models aimed at predicting the evolution of the thermal, microstructural and stress fields in heat treatment operations. However, the direct measurement of surface heat flux, heat, transfer coefficient or surface temperature, is a very difficult task. Therefore, the application of algorithms that solve the inverse heat conduction problem of estimating the surface heat flux together with surface temperature, based on experimentally determined subsurface temperatures, has rapidly gained importance as a tool for process modelling. A widely used algorithm is the sequential function specification technique. In this paper, the sequential function specification algorithm has been applied to estimate the surface heat flux and heat-transfer coefficient at the surface of interstitial-free steel bars subjected to forced convective quenching. A quenching apparatus was specially built to measure the temperature response in the bars under controlled laboratory conditions. The geometry of the test section used ensured one-dimensional heat flow. It was found that filtering the raw data prior to the inverse analysis greatly improved the estimates of surface heat flux and heat-transfer coefficient. The characterization of the critical heat flux (CHF) was also significantly improved by pre-filtering the data. An important advantage of inverse heat conduction techniques like sequential function specification (compared with the sequential exact matching approach) is that over-responses to sudden changes in the measured temperatures can be reduced; this becomes particularly important for rapidly varying temperature responses.

290

Interannual Atmosphere-Ocean Variations in the Tropical Western North Pacific Relevant to the Asian Summer Monsoon-ENSO Coupling  

Using an ocean general circulation model (OGCM) forced by daily mean wind stresses and heat fluxes derived from the bulk formulation with the NCEP/NCAR reanalysis of 1973-1995, we examined interannual atmosphere-ocean variations in the tropical western North Pacific related to the Asian summer monsoon-ENSO coupling. The OGCM simulation was successful in reproducing the east-west gradient of summertime SST anomalies between the South China Sea and the tropical western Pacific east of the Philippines that is linked with anomalous tropical convection in that vicinity. A heat budget analysis shows that a longitudinal asymmetry of surface latent heat flux anomalies is crucially responsible for the reinforcement and persistence of the east-west gradient of SST anomalies between the two regions. It is also found that the transition from premonsoon regime to monsoon regime in the tropical Indian Ocean affects the interannual atmosphere-ocean variations in the tropical western North Pacific during the period from the late 1970s to the early 1990s. In the spring before strong Asian summer monsoon, an equatorially asymmetric air-sea coupled mode tends to appear in the tropical Indian Ocean. Simultaneously with the beginning of the strong monsoon regime, the northern Indian Ocean and South China Sea are covered by cool SST anomalies due to enhanced wind speed and evaporation, whereas warm anomalies relevant to a cold episode of ENSO are still maintained in the warm pool region east of the Philippines. The latitudinally asymmetric anomalies of tropical convection and SST become dissipated and convection over the warm pool region of the western North Pacific becomes localized and enhanced with the establishment of east-west gradient of SST anomalies. Due to enhanced convective heating, equatorially asymmetric atmospheric Rossby waves are excited to the west of anomalous convection, which induce low-level westerly anomalies. This dynamic process further facilitates the localization of intense convection through the change in surface latent heat flux and SST. While such a positive atmosphere-ocean feedback system persists in boreal summer, the Pacific and Japan (PJ) teleconnection pattern in response to enhanced convection prevails and brings about unusually hot summers in recent years especially in the vicinity of Japan.   

291

Convective cooling of three discrete heat sources in channel flow  

Abstract in english A numerical investigation was performed to evaluate distinct convective heat transfer coefficients for three discrete strip heat sources flush mounted to a wall of a parallel plates channel. Uniform heat flux was considered along each heat source, but the remaining channel surfaces were assumed adiabatic. A laminar airflow with constant properties was forced into the channel considering either developed flow or a uniform velocity at the channel entrance. The conservation (more) equations were solved using the finite volumes method together with the SIMPLE algorithm. The convective coefficients were evaluated considering three possibilities for the reference temperature. The first was the fluid entrance temperature into the channel, the second was the flow mixed mean temperature just upstream any heat source, and the third option employed the adiabatic wall temperature concept. It is shown that the last alternative gives rise to an invariant descriptor, the adiabatic heat transfer coefficient, which depends solely on the flow and the geometry. This is very convenient for the thermal analysis of electronic equipment, where the components' heating is discrete and can be highly non-uniform.

292

Resolution of linear inverse forced convection problems using model reduction by the Modal Identification Method: application to turbulent flow in parallel-plate duct  

Inverse Heat Convection Problems have received attention only recently. They usually involve the use of a high order model corresponding to the spatial discretization of the domain. In this numerical study, the possibility to quickly solve such a problem with a low order model is analysed. The proposed method can be applied to any forced convection problem, whatever the geometry, as far as it is linear. Starting from a Detailed Model (DM) of the system, the Modal Identification Method is applied to build a Reduced Model (RM), which can be used to solve the inverse problem. The inversion procedure is sequential and requires no iterations. The function specification method is used to stabilize the inverse problem. An illustrative application is given. Turbulent forced convection is considered, with a hydrodynamically fully developed, thermally developing, incompressible, turbulent flow of a newtonian and constant property fluid inside a parallel-plate duct. Axial conduction in the flow is neglected. Two wall heat flux densities, varying with time, are estimated from the knowledge of simulated transient temperature measurements inside the fluid. When solving the inverse problem with RM instead of DM, a drastic reduction of computing time is obtained (with a reduction factor up to 11,000 in the present study), without significant loss of accuracy. Effects of functional form of the unknowns, sensor numbers and position, measurement error, on the accuracy of estimates are examined.(Author)

293

Influence of heat transfer on walls due to aerosol decomposition rate in the containment building of nuclear power plants during heavy incidents; Einfluss des Waermeuebergangs an Waenden auf die Aerosolabbaurate im Sicherheitsbehaelter von Kernkraftwerken bei schweren Stoerfaellen  

Today, German nuclear power plants are leading in safety standards worldwide. Increasing potentials arise continuously along with improvements in technology. One of these potentials is the best-estimate simulation of fission product transport in case of a severe accident. A main part of the fission products is allocated on aerosols. Therefore, the aerosol behavior before containment leakage is important for the radioactive source term to the environment. Having a good knowledge about the main aerosol phenomena, it is possible to simulate them numerically. This enables to develop and test safety measures to limit damages before accidents occur. Within this study, the main aerosol phenomena have been ascertained and accordingly classified into formation, transport and reduction. On this basis, simulations of one- and multi-component aerosol experiments of the KAEVER series have been performed with the COCOSYS code. Due to an overprediction of the computed volume condensation rate, the results showed an overestimation of the reduction rate of insoluble aerosols. The reason was found to be the underestimation of the wall condensation rate. Based on an additional plain thermal hydraulic multi compartment experiment, these uncertainties in the wall heat transfer correlations were investigated in detail. The results show a strong dependency between the wall condensation rate and the convective heat transfer, resp. the characteristic length. In case of mainly forced convection, correct values for the characteristic length led to an underestimation of the calculated heat transfer coefficients. The analysis of the heat transfer models show an inconsistency in the coupling of free and forced convection. Therefore, an improved and consistent convection model has been developed and implemented. Both models have been tested on different experiments. Although the new model shows only minor improvements, it could be proven that the influence for forced convection is significant. Based on the findings, a further improvement of the wall heat transfer models and therefore the aerosol reduction rates of insoluble aerosols can be realized only, if the geometry and flow information are considered and handled more easily e.g. in a similar way than in the application of CFD codes. (orig.)

294

Cloud radiative effects on responses of rainfall to large-scale forcing during a landfall of severe tropical storm Bilis (2006)  

The cloud radiative effects on responses of rainfall to the large-scale forcing during a landfall of severe tropical storm Bilis (2006) are investigated by analyzing sensitivity experiments imposed by large-scale forcing from NCEP/GDAS data in a two-dimensional cloud-resolving model. The daily average analysis is conducted on 15 and 16 July 2009, respectively, due to dominant stratiform and convective rainfall associated with different large-scale forcing. When cloud radiative effects are excluded, the increased mean rainfall is associated with the increased mean radiative cooling through the enhanced mean latent heat on 15 July. The reduction in mean rain rate is related to the slowdown in the mean net condensation while the enhanced mean radiative cooling from the removal of cloud radiative effects is balanced by the suppressed heat divergence on 16 July. The increased mean rainfall on 15 July and decreased mean rainfall on 16 July are mainly from raining stratiform regions. The enhanced stratiform rainfall is associated with the weakened local atmospheric moistening and strengthened local hydrometeor loss on 15 July, whereas the reduced stratiform rainfall is related to the weakened water vapor convergence on 16 July. When cloud-radiation interaction is excluded, the decreases in the mean rain rate are associated with the slowdown in the mean hydrometeor loss on 15 July and the suppression in the net condensation on 16 July. The decreased mean rainfall is mainly from convective regions on 15 July and raining stratiform regions on 16 July. The reduced convective rainfall is associated with strengthened transport of hydrometeor concentration from convective regions to raining stratiform regions on 15 July, whereas the decreased stratiform rainfall is related to the weakened water vapor convergence on 16 July.

295

Calibration, Data Acquisition, and Post Analysis of Turbulent Fluid Flow in a Calibration Jet Using Hot-wire Anemometry  

The Turbine Branch concentrates on the following areas: Computational Fluid Dynamics (CFD), and implementing experimental procedures to obtain physical modeling data. Hot-wire Anemometry is a valuable tool for obtaining physical modeling data. Hot-wire Anemometry is likely to remain the principal research tool for most turbulent air/gas flow studies. The Hot-wire anemometer consists of a fine wire heated by electric current. When placed in a fluid stream, the hot-wire loses heat to the fluid by forced convection. In forced convection, energy transfer is due to molecular motion imposed by an extraneous force moving fluid parcels. When the hot-wire is in "equilibrium", the rate of heat input to the wire is equal to the rate of heat loss at the wire ends. The equality between heat input and heat loss is the basis for King s equation, which relates the electrical parameters of the hot-wire to the flow parameters of the fluid. Hot-wire anemometry is based on convective heat transfer from a heated wire element placed in a fluid flow. Any change in the fluid flow condition that affects the heat transfer from the heated element will be detected virtually instantaneously by a constant-temperature Hot-wire anemometry system. The system implemented for this research is the IFA 300. The system is a fully-integrated, thermal anemometer-based system that measures mean and fluctuating velocity components in air, water, and other fluids. It also measures turbulence and makes localized temperature measurements. A constant-temperature anemometer is a bridge and amplifier circuit that controls a tiny wire at constant temperature. As a fluid flow passes over the heated sensor, the amplifier senses the bridge off-balance and adjusts the voltage to the top of the bridge, keeping the bridge in balance. The voltage on top of the bridge can then be related to the velocity of the flow. The bridge voltage is sensitive to temperature as well as velocity and so the built-in thermocouple circuit can be attached to a thermocouple that can measure the fluid temperature. Additional information is included in the original extended abstract.

296

Formation of zonal jets by moist convection on gas-giant planets  

All four gas-giant planets, Jupiter, Saturn, Uranus and Neptune exhibit multiple banded zonal jets. Jupiter and Saturn also show equatorial superrotation while Uranus and Neptune show equatorial subrotation. The formation mechanisms of these zonal jets are largely unknown. Moist convection, which generates small-scale turbulence, has been proposed as a energy source to drive the zonal jets. However, this hypothesis has not been adequately tested. Moreover, current numerical models generally produce the same equatorial jet direction for all four giant planets. These models therefore fail to provide a single mechanism that can simultaneously explain the equatorial jet on both the gas giants (Jupiter/Saturn) and ice giants (Uranus/Neptune). Here, we present 3D global numerical simulations using the MITgcm that include water vapor. Condensation, and the associated latent heating, occurs whenever the relative humidity exceeds 100%. The locations of heating in our model evolve with (and are determined by) the flow; unlike many previous studies, our forcing scheme does not impose any zonal symmetry on the system. In our simulations, the moist convection and its associated latent heating generates numerous eddies that drive multiple zonal jets. The dynamics in our simulations are self-maintained and, for plausible water abundances, produce roughly 20 jets with equatorial superrotation on Jupiter and Saturn and 3 jets with equatorial subrotation on Uranus and Neptune. The jet widths are controlled by the Rhines scale. These simulated jets resemble the observed jet patterns on the giant planets. Our simulations thus suggest that moist convection plays an important role in pumping jets on giant planets, and moreover provides a possible coherent explanation for superrotation on Jupiter/Saturn and subrotation on Uranus/Neptune. The moist-convection events in our simulations also bear an encouraging resemblance to observed moist-convection events on Jupiter and Saturn.

297

1  

Convective secondary-flow cells and fluid temperature inver - ... For the inception of nucleate boiling from natural convection, the heat flux and re- .... The distilled water was pressure-fed through a porous metal filter and a micro- flow ...

298

Three-dimensional natural convection in rooms connected to the outside through large openings  

The growing interest in the study of natural convection in geometrically complex enclosures with restricted communication has been stimulated by applications involving energy-efficient passive-solar buildings, natural convection cooling of electronic equipment and room heating and ventilation. Airfl...

299

Numerical and experimental studies of the natural convection within ...  

Performing Organization Code. 7. Author(s) ... Sponsoring Agency Code ... governing the time-dependent natural convection within a horizontal cylinder. ...... Batchelor, G. K.: Heat Transfer by Free Convection Across a Closed Cavity Between ...

300

Parallel computation for natural convection  

components under natural convection in the electronics industry, heating and ... convection in a square cavity for a variety of dynamical boundary ccmditicms, Rayleigh .... A V-Cycle scheme is ccmsidered in this code with the SOR method as a ...

 
 
 
 
301

Cylindrical Blackbody Cavity at 1100 Degrees Celsius  

cavity. This paper describes measurements made during steady-state operation and ... copyright is asserted in the United States _mderTitle 17,U.S. Code. ... which operate in convection, conduction, and radiation heat ..... (3) natural convection ...

302

Convective Flows in Enclosures With Vertical Temperature or ...  

Convective Flows in Enclosures With Vertical .... cavity wIth the hori- zontal end walls being ..... Natural. Convection in a Horizontal. Water Layer. Heated from. Below," .... Code. 8. Performing. Organization. Report No. E-4421. 10. Work Unit No.

303

Prediction of BWR performance under the influence of Isolation Condenser-using RAMONA-4 code  

The purpose of the Boiling Water Reactor (BWR) Isolation Condenser (IC) is to passively control the reactor pressure by removing heat from the system. This type of control is expected to reduce the frequency of opening and closing of the Safety Relief Valves (SRV). A comparative analysis is done for a BWR operating with and without the influence of an IC under Main Steam Isolation Valve (MSIV) closure. A regular BWR, with forced flow and high thermal power, has been considered for analysis. In addition, the effect of ICs on the BWR performance is studied for natural convection flow at lower power and modified riser geometry. The IC is coupled to the steam dome for the steam inlet flow and the Reactor Pressure Vessel (RPV) near the feed water entrance for the condensate return flow. Transient calculations are performed using prescribed pressure set points for the SRVs and given time settings for MSIV closure. The effect of the IC on the forced flow is to reduce the rate of pressure rise and thereby decrease the cycling frequency ofthe SRVS. This is the primary objective of any operating IC in a BWR (e.g. Oyster Creek). The response of the reactor thermal and fission power, steam flow rate, collapsed liquid level, and core average void fraction are found to agree with the trend of pressure. The variations in the case of an active IC can be closely related to the creation of a time lag and changes in the cycling frequency of the SRVS. An analysis for natural convection flow in a BWR indicates that the effect of an IC on its transient performance is similar to that for the forced convection system. In this case, the MSIV closure, has resulted in a lower peak pressure due to the magnitude of reduced power. However, the effect of reduced cycling frequency of the SRV due to the IC, and the time lag between the events, are comparable to that for forced convection.

304

Prediction of BWR performance under the influence of Isolation Condenser-using RAMONA-4 code  

The purpose of the Boiling Water Reactor (BWR) Isolation Condenser (IC) is to passively control the reactor pressure by removing heat from the system. This type of control is expected to reduce the frequency of opening and closing of the Safety Relief Valves (SRV). A comparative analysis is done for a BWR operating with and without the influence of an IC under Main Steam Isolation Valve (MSIV) closure. A regular BWR, with forced flow and high thermal power, has been considered for analysis. In addition, the effect of ICs on the BWR performance is studied for natural convection flow at lower power and modified riser geometry. The IC is coupled to the steam dome for the steam inlet flow and the Reactor Pressure Vessel (RPV) near the feed water entrance for the condensate return flow. Transient calculations are performed using prescribed pressure set points for the SRVs and given time settings for MSIV closure. The effect of the IC on the forced flow is to reduce the rate of pressure rise and thereby decrease the cycling frequency ofthe SRVS. This is the primary objective of any operating IC in a BWR (e.g. Oyster Creek). The response of the reactor thermal and fission power, steam flow rate, collapsed liquid level, and core average void fraction are found to agree with the trend of pressure. The variations in the case of an active IC can be closely related to the creation of a time lag and changes in the cycling frequency of the SRVS. An analysis for natural convection flow in a BWR indicates that the effect of an IC on its transient performance is similar to that for the forced convection system. In this case, the MSIV closure, has resulted in a lower peak pressure due to the magnitude of reduced power. However, the effect of reduced cycling frequency of the SRV due to the IC, and the time lag between the events, are comparable to that for forced convection.

305

Calculational method for combined natural circulation and forced-convection flow in a channel. [LMFBR  

This paper presents a finite element solution for combined natural circulation and forced convection flow in a channel. Because the buoyancy force plays an important role in a mixed convection flow, an iteration scheme was used in solving the coupled energy-momentum equations. The momentum equations and the pressure equation are solved to calculate velocity profiles instead of solving the momentum equations with the continuity equation. Though the pressure equation is obtained by using the continuity equation, the continuity principle is reinforced into the momentum equations and the pressure equation at each iteration. Calculations are performed for the combined natural circulation and forced convection case and the forced convection only case.

306

Cooperative Studies Of The Earth's Deep Interior  

... the deep interior. Isotopic measurements of crustal and mantle-derivative rocks reveal chemical ... mantle convection, the driving forces of plate tectonics, and the interaction between the interior ...

307

Natural convection in enclosures. Proceedings of the nineteenth national heat transfer conference, Orlando, FL, July 27-30, 1980  

Natural convection in low aspect ratio rectangular enclosures is considered along with three-dimensional convection within rectangular boxes, natural convection flow visualization in irradiated water cooled by air flow over the surface, free convection in vertical slots, the stratification in natural convection in vertical enclosures, the flow structure with natural convection in inclined air-filled enclosures, and natural convection across tilted, rectangular enclosures of small aspect ratio. Attention is given to the effect of wall conduction and radiation on natural convection in a vertical slot with uniform heat generation of the heated wall, a numerical study of thermal insulation enclosure, free convection in a piston-cylinder enclosure with sinusoidal piston motion, natural convection heat transfer between bodies and their spherical enclosure, an experimental study of the steady natural convection in a horizontal annulus with irregular boundaries, three-dimensional natural convection in a porous medium between concentric inclined cylinders, a numerical solution for natural convection in concentric spherical annuli, and heat transfer by natural convection in porous media between two concentric spheres.

308

A Dry-Spot Model of Critical Heat Flux Applicable to Both Pool Boiling and Subcooled Forced Convection Boiling  

A phenomenological model of critical heat flux (CHF) applicable to both pool boiling and subcooled forced convection boiling is developed using the dry-spot model proposed recently and existing correlations for active site density, bubble departure diameter and heat transfer coefficient in nucleate boiling. For the active nucleation site density Kocamustafaogullari and Ishii's model is used including the concept of a suppression factor. The Chen correlation is used for the estimation of total heat flux in nucleate boiling. Comparisons of the model predictions with experimental data for pool boiling of water and subcooled upward flow boiling of water in vertical, uniformly-heated round tubes yield an averaged CHF ratio of 0.93 and a root-mean-square error of 41.3%. The data set compared for CHF in subcooled forced convection boiling covers wide ranges of operating conditions (0.1<P<14.0 MPa, 0.00033<D<0.0375 m; 0.002<L<2 m; 660<G<90000 kg/m2s; 70<{delta}h<1456 kJ/kg). By the modification of the suppression factor only the predictive capability of the present model is greatly improved with a r.m.s. error of 20.5%. (author). 35 refs., 8 figs., 2 tabs.

309

Forced convection film boiling drag and heat transfer of a wedge  

Laminar forced convection film boiling flow on a wedge is analyzed considering the streamwise pressure gradient imposed on the flow and the streamwise buoyancy force (important because of the large density difference between the vapor and liquid) acting on the vapor film. A two-phase boundary layer model is proposed, and the local similarity concept is applied to obtain an approximate solution of the governing equations. Parametric trends in this analysis show that, for a water-steam system at atmospheric pressure considered within this study, the density difference between the vapor and liquid is large enough. As a result, both the streamwise pressure gradient and the buoyancy force exert strong influence on the vapor flow dynamics. Wall skin friction results display a strong dependency on the streamwise buoyancy force driving the vapor film and the external pressure gradient. Previously observed skin friction bucket'' type phenomena with increased heating of the wedge are possible when the buoyancy force is small or negligible. Adverse streamwise buoyancy force action on the vapor film, which is the case on the lower surface of a horizontally aligned wedge, may cause vapor flow separation. In contrast to wall skin friction dependency, the wall heat-transfer parameter shows a secondary dependence on the streamwise pressure gradient and the buoyancy force. 16 refs., 9 figs., 3 tabs.

310

Evaluating Heat Exchange Performance of Vertical Ground Heat Exchanger Filled with Gravel in Laboratory Experiments  

In this study, laboratory experiments were conducted to evaluate the effect of filling materials on heat exchange performance of a vertical ground heat exchanger (GHE). The main objective of this study is to demonstrate that large grained gravel filling can enhance the heat exchange rate of vertical GHE in ground source heat pump systems. The filling materials used for the laboratory experiments were water, large or small gravel saturated with water and fine silica sand saturated with water. The grain sizes of large and small gravel are distributed between 10 to 20 mm and between 5 to 10 mm, respectively. The laboratory experiments were conducted under the condition of constant temperature at inlet of GHE. By considering heating and cooling situation, the temperatures of heat medium at GHE inlet were maintained smaller and larger than the initial temperature of the sand layer in which the GHE is installed. From the results of the laboratory experiments, the averaged heat exchange rate in the case of small gravel filling was 7.8 % larger than the one in the case of silica sand filling. On the other hand, the averaged heat exchange rate in the case of large gravel filling and water filling are 20 % and 31 % larger than the one in the case of silica sand filling, respectively. In addition, the borehole thermal resistance decreased with increasing heat exchange rate except the case of silica sand filling. The reason why the heat exchange rate was enhanced between the silica sand filling and the other fillings is interpreted as the developments of natural convection in the annular space of the heat exchange well. This natural convection also decreased the borehole thermal resistance in the case of water and gravel filling. The largest driving force of natural convection occurred in the case of water filling, the second-largest one occurred in the case of large gravel filling. The presence of natural convection is confirmed by investigating the relationship between averaged Rayleigh number and averaged Nusselt number in the annular space. The above results showed that for enhancing heat exchange rate of vertical GHE, the use of large grained gravel as a filling material is one of the prospective options.   

311

Fluid dynamics of double diffusive systems  

A study of mixing processes in doubly diffusive systems is being conducted. Continuous gradients of two diffusing components (heat and salinity in our case) are being used as initial conditions, and forcing is introduced by lateral heating and surface shear. The goals of the proposed work include: (1) quantification of the effects of finite amplitude disturbances on stable, double diffusive systems, particularly with respect to lateral heating, (2) development of an improved understanding of the physical phenomena present in wind-driven shear flows in double diffusive stratified environments, (3) increasing our knowledge-base on turbulent flow in stratified environments and how to represent it, and (4) formulation of a numerical code for such flows. The work is being carried out in an experimental facility which is located in the Stanford Environmental Fluid Mechanics Laboratory, and on laboratory minicomputers and CRAY computers. In particular, our overall goals are as follows: (1) develop more general stability and scaling criteria for the destabilization of doubly-stratified systems; (2) further study the variation of flow structure and scale with Rayleigh ratio and lateral heating ratio; (3) further delineate the mechanisms governing convective layer formation and merging; (4) study the mixing processes within the convective layers and across interfaces, and estimate the heat and mass fluxes in such a system; (5) quantify the effects of turbulence and coherent structures (due to a wind-driven surface shear) on a doubly stratified system; and (6) study the interaction between surface shear and side-wall heating destabilization mechanisms. 5 refs.

312

Laminar film condensation from downward flowing superheated vapors onto a non-isothermal sphere  

A model is developed for the study of mixed convection film condensation from downward flowing superheated vapors onto a sphere with variable wall temperature. The model combined natural convection dominated and forced convection dominated film condensation, including effects of superheated vapor, pressure gradient and wall temperature variation can be solved numerically by the fourth-order Runge-Kutta technique. By the present numerical approach, the mean heat transfer is evaluated up to the critical angle of the condensate layer, {phi}{sub c}. In general, the result of mean heat transfer shows that, as A, the wall-temperature amplitude, increases, the value of NuRe{sup -1/2} with inclusion of P, the pressure gradient effect, goes down slightly, however, the value of NuRe{sup -1/2} with the pressure gradient effect ignored will remain almost uniform. Further, for P=2.0, the mean heat transfer coefficient increases significantly, by 8.6-23.9%, depending on A, as the superheat parameter, Sp, increases within a practical range. (orig.)

313

Heat transfer and fluid flow in laser microwelding  

The evolution of temperature and velocity fields during linear and spot Nd-yttrium aluminum garnet laser microwelding of 304 stainless steel was simulated using a well-tested, three-dimensional, numerical heat transfer and fluid flow model. Dimensional analysis was used to understand both the importance of heat transfer by conduction and convection as well as the roles of various driving forces for convection in the weld pool. Compared with large welds, smaller weld pool size for laser microwelding restricts the liquid velocities, but convection still remains an important mechanism of heat transfer. On the other hand, the allowable range of laser power for laser microwelding is much narrower than that for macrowelding in order to avoid formation of a keyhole and significant contamination of the workpiece by metal vapors and particles. The computed weld dimensions agreed well with the corresponding independent experimental data. It was found that a particular weld attribute, such as the peak temperature or weld penetration, could be obtained via multiple paths involving different sets of welding variables. Linear and spot laser microwelds were compared, showing differences in the temperature and velocity fields, thermal cycles, temperature gradients, solidification rates, and cooling rates. It is shown that the temperature gradient in the liquid adjacent to the mushy zone and average cooling rate between 800 and 500 °C for laser spot microwelding are much higher than those in linear laser microwelding. The results demonstrate that the application of numerical transport phenomena can significantly improve current understanding of both spot and linear laser microwelding.

314

Computation of the Nusselt number asymptotes for laminar forced convection flows in internally finned tubes  

The utilization of internal longitudinal finned tubes has received unparallel attention in the heat transfer literature over the years as a result of its imminent application in high performance compact heat exchangers to enhance the heat transfer between laminar streams of viscous fluids and tube walls. Here, the central goal of this paper is to report a simple approximate way for the prediction of the two asymptotes for the local Nusselt number in laminar forced convection flows inside internal longitudinal finned tubes. The computational attributes of the Method Of Lines (MOL) are propitious for the determination of asymptotic temperature solutions and corresponding heat transfer rates (one for Z {r_arrow} 0 and the other for z {r_arrow} {infinity}). The two local Nusselt number sub-distributions, namely Nu{sub z{r_arrow}0} and Nu{sub z{r_arrow}{infinity}}, blend themselves into an approximate Nusselt number distribution that covers the entire z-domain in a natural way.

315

Proceedings of radiation heat transfer  

This volume contains nine papers which were accepted and presented a the session on Radiation Heat Transfer at the 1990 ASME Winter Annual Meeting, held November 25-30, 1990, in Dallas, Texas. The session was sponsored by the K-12 Technical Committee on Aerospace Heat Transfer of the ASME Heat Transfer Division. All papers were reviewed in accordance with ASME standards and procedures. The papers appearing in this volume are listed in the approximate order they were presented at the conference. The call for the session requested work concerned with fundamentals and applications of radiative heat transfer. As a result, the accepted papers describe current state-of-the-art of research - first, in areas in which the radiation interacts with conduction, forced and natural convection, and solidification; second, in areas in which radiation is the only mode of energy transfer; and last, measurements of radiative properties of fibers and temperatures in high temperature packed beds.

316

Analysis of CHF in saturated forced convective boiling on a heated surface with impinging jets using artificial neural network and genetic algorithm  

In this paper, a three-layer Back Propagation (BP) algorithm artificial neural network (ANN) for predicting critical heat flux (CHF) in saturated forced convective boiling on a heated surface with impinging jets was trained successfully with a root mean square (RMS) error of 17.39%. The input parameters of the ANN are liquid-to-vapor density ratio, l/v, the ratio of characteristic dimension of the heated surface to the diameter of the impinging jet, L/d, reciprocal of the Weber number, 2/lu^2(L-d), and the number of impinging jets, Nj. The output is dimensionless heat flux, qco/vHfgu. Based on the trained ANN, the influence of principal parameters on CHF has been analyzed as follows. CHF increases with an increase in jet velocity and decreases with an increase in L/d and Nj. CHF increases ...

317

Three dimensional conjugate heat transfer analysis of BeO reflector assemblies of upgraded Apsara reactor  

Upgraded Apsara reactor is a 2 MW pool type research reactor. The reactor core is surrounded by two layers of BeO reflector assemblies. Three dimensional conjugate heat transfer analysis is carried out for the BeO reflector assemblies to predict the temperatures of the BeO as well as the aluminium surface which is used for cladding the BeO reflector. These reflectors get heated up due to interactions with neutrons and gamma rays from the reactor core. Since no dedicated forced cooling is provided to cool these reflector assemblies, the heat transfer from them mainly takes place by natural convection. These reflector assemblies are immersed in a pool of water which acts as the heat sink. In order to estimate the temperatures of aluminum clad, coolant water and BeO, a detailed three dimensio...

318

Heat transfer and flow behavior around four staggered elliptic cylinders in cross flow  

Experimental and numerical studies were carried out to investigate forced convection heat transfer and flow features around the downstream elliptic cylinder in four staggered cylinders in cross flow. The elliptic cylinders examined had an axis ratio (b/c) of 1:2, and they were arranged with zero angle of attack to the upstream flow. The present heat transfer measurements were obtained by heating only the downstream elliptic cylinder (test cylinder) under the condition of constant heat flux. The testing fluid was air and the Reynolds number based on the major axis length (c) was ranged from 4,000 to 45,570. The tested longitudinal spacing ratio (Sx/c) and the transversal spacing ratio (Sy/b) were in the ranges of 1.5???Sx/c???4.0 and 1.5???Sy/b???4.0, respectively. The air flow pattern and ...

319

FVM-BEM method based on the Greens function theory for the heat transfer problem in buried co-axial exchanger  

This Note presents the study of transient flow under forced convection in buried co-axial exchanger. The wall temperature as well as the wall heat flux and the heat transfer coefficient are unknown. A hybrid model consisting of a finite element method at the boundary (BEM) for the heat transfer problem on the boundary and a finite volume method (FVM) to solve the laminar flow inside solves this problem. The development of the BEM method is based on the Greens function theory. This conjugate method allows one to have fast results and to foresee the thermal behaviour of the exchanger. The heat transfer coefficients are investigated. The results are compared to those obtained using the commercial CFD package Fluent.

320

Role of joule heating on the hydrodynamic boundary layer with rectangular electrodes: Numerical approach  

Abstract in english This contribution focuses on the analysis of the role of Joule heating on the hydrodynamics of systems where buoyancy is an important driving force. Typical examples are electrokinetic applications for soil cleaning and macromolecules separation. In particular, the region of interest for this study is the zone near vertical-rectangular electrodes. The analysis is conducted for boundary layer flows due to natural convection as a result of heat generation caused by the appl (more) ied electrical field. A numerical solution of the differential model equations yields the temperature profile, the boundary layer thickness, and the component of the velocity field along the axial and transversal directions of the electrode. Effects of the heat generation on temperature, velocity profiles and boundary layer thickness are simulated and discussed. The results of the analysis allow a better assessment of the role of Joule heating on the hydrodynamics of the system near the electrode.

 
 
 
 
321

Eulerian-Eulerian two-phase numerical simulation of nanofluid laminar forced convection in a microchannel  

In this paper, laminar forced convection heat transfer of a copper-water nanofluid inside an isothermally heated microchannel is studied numerically. An Eulerian two-fluid model is considered to simulate the nanofluid flow inside the microchannel and the governing mass, momentum and energy equations for both phases are solved using the finite volume method. For the first time, the detailed study of the relative velocity and temperature of the phases are presented and it has been observed that the relative velocity and temperature between the phases is very small and negligible and the nanoparticle concentration distribution is uniform. However, the two-phase modeling results show higher heat transfer enhancement in comparison to the homogeneous single-phase model. Also, the heat transfer enhancement increases with increase in Reynolds number and nanoparticle volume concentration as well as with decrease in the nanoparticle diameter, while the pressure drop increases only slightly.

322

Unsteady laminar forced convection heat transfer due to rapid decrease in flow rate of liquid sodium in a concentric annulus  

Experiments have been made of unsteady forced convection heat transfer from a heated surface of 52 mm in length on an inner cylinder of 7.6 mm in diameter to liquid sodium flowing in a vertically orientated concentric annulus with 14.3 mm inside diameter. With constant heat flux of 1.0 x 10{sup 6} W/m{sup 2}, liquid sodium flow rate was reduced ramp-wise within about 25 seconds from an initial equilibrium state, Pe=72, to Pe=6.4 and from Pe=141 to 11.5 where Pe denotes the Peclet number. A theoretical model capable of describing the effect of heat conduction in the inner and outer walls of an annulus as well as in liquid sodium was developed. The numerical results obtained by the model agree with the experimental results for the two different flow transient conditions. (author)

323

Fouling Effects of Geothermal Water Scale upon Heat Transfer around a Circular Cylinder  

An experimental investigation has been conducted to clarify fouling effects of geothermal water scale deposited onto a heating surface upon its forced convection heat transfer characteristics. Examined is a circular cylinder, on which particles of silica scale having four different sizes are uniformly distributed. The Reynolds number was varied from about 4500 through 50000. Local and mean heat characteristics were measured as functions of particle size and Reynolds number. Subsequently the mean fouling resistance was estimated from those results, compared with other experiments, and its characteristics are clarified. Furthermore mean and turbulent fluctuating velocities were also measured in order to correlate the heat transfer features with the velocity field in the near wake of the circular cylinder.

324

Three dimensional conjugate heat transfer analysis of BeO reflector assemblies of upgraded Apsara reactor  

Upgraded Apsara reactor is a 2?MW pool type research reactor. The reactor core is surrounded by two layers of BeO reflector assemblies. Three dimensional conjugate heat transfer analysis is carried out for the BeO reflector assemblies to predict the temperatures of the BeO as well as the aluminium surface which is used for cladding the BeO reflector. These reflectors get heated up due to interactions with neutrons and gamma rays from the reactor core. Since no dedicated forced cooling is provided to cool these reflector assemblies, the heat transfer from them mainly takes place by natural convection. These reflector assemblies are immersed in a pool of water which acts as the heat sink. In order to estimate the temperatures of aluminum clad, coolant water and BeO, a detailed three dimensio...

325

Multidimensional modeling of two-phase flow and heat transfer  

Purpose - This paper seeks to discuss a mechanistic modeling concept for local phenomena governing two- and multi-phase flows and heat transfer. Design/methodology/approach - An overview is given of selected issues concerning the formulation of multidimensional models of two-phase flow and heat transfer. A complete computational multiphase fluid dynamics (CMFD) model of two-phase flow is presented, including local constitutive models applicable to two-phase flows in heated channels. Results are shown of model testing and validation. Findings - It has been demonstrated that the overall model is capable of capturing various local flow and heat transfer phenomena in general, and the onset of temperature excursion (CHF) in low quality forced-convection boiling, in particular. Research limitati...

326

Theoretical analysis of the thermal behaviour of a boiling system. Analyse theorique du comportement thermique d'un systeme en ebullition  

Heat transfer involving boiling, with the successive nucleate, transition and film boiling zones, is characterized by non-linear properties which may induce peculiar behaviour. Within this context, two numerical analyses - one steady-state and one transient - were conducted to model the qualitative thermal behaviour of forced convective boiling inside uniformly electrically-heated tubes of various lengths. Applying the concept of local iso-quality boiling curves, these theoretical analyses highlight the consequences of the non-linear properties, and the impact of axial conduction in boiling crisis and rewetting situations: existence of multiple stable steady states and hysteresis, apparent dependence of critical heat flux on the heating method. In the literature there is sparse experimental evidence to support these current study conclusions.

327

Conjugate Cooling of a Discrete Heater in Laminar Channel Flow  

Abstract in english Electronic components are usually assembled on printed circuit boards cooled by forced airflow. When the spacing between the boards is small, there is no room to employ a heat sink on critical components. Under these conditions, the components? thermal control may depend on the conductive path from the heater to the board in addition to the direct convective heat transfer to the airflow.The conjugate forced convection-conduction heat transfer from a two-dimensional strip (more) heater flush mounted to a finite thickness wall of a parallel plates channel cooled by a laminar airflow was investigated numerically. A uniform heat flux was generated along the strip heater surface. Under steady state conditions, a fraction of the heat generation was transferred by direct convection to the airflow in the channel and the remaining fraction was transferred by conduction to the channel wall. The lower surface of the channel wall was adiabatic, so that the heat conducted from the heater to the plate eventually returned to the airflow. A portion of it returned upstream of the heater, preheating the airflow before it reached the heater surface. Due to this, it was convenient to treat the direct convection from the heater surface to the airflow by the adiabatic heat transfer coefficient. The flow was developed from the channel entrance, with constant properties.The conjugate problem was solved numerically within a single solution domain comprising both the airflow region and the solid wall of the channel. The results were obtained for the channel flow Reynolds number ranging from about 600 to 1900, corresponding to average airflow velocities from 0.5 m/s to 1.5 m/s. The effects of the solid wall to air thermal conductivities ratio were investigated in the range from 10 to 80, typical of circuit board materials. The wall thickness influence was verified from 1 mm to 5 mm. The results indicated that within these ranges, the conductive substrate wall provided a substantial enhancement of the heat transfer from the heater, accomplished by an increase of its average adiabatic surface temperature.

328

Conjugate heat transfer measurements with single-phase and water flow boiling in a single-side heated monoblock flow channel  

Optimized and robust designs of one-side heated plasma-facing components and other heat flux removal components are dependent on conjugate heat transfer. In the present case, the conjugate heat transfer involved measuring the local distributions of the inside wall temperature and heat flux in a single-side heated monoblock flow channel with: (1) peripheral (radial and circumferential) heat transfer; and, (2) coupled internal turbulent, forced convective single-phase flow and flow boiling. For the first time, multi-dimensional boiling curves have been measured for a single-side heated monoblock flow channel. Using a thermal hydraulic diameter as the characteristic dimension in select correlations for the highest mass velocity (3.2Mg/m{sup 2}s), good agreement was obtained. At lower mass velocities, only the single-phase correlations agreed better with the data for the averaged net incident heat flux vs the inside channel wall temperature. Hence, additional correlation development and adaptation are needed for single-side heated monoblocks with peripheral heat transfer. (author)

329

Coupled model simulations of boreal summer intraseasonal (30 50 day) variability, Part 1: Systematic errors and caution on use of metrics  

Boreal summer intraseasonal (30 50 day) variability (BSISV) over the Asian monsoon region is more complex than its boreal winter counterpart, the Madden Julian oscillation (MJO), since it also exhibits northward and northwestward propagating convective components near India and over the west Pacific. Here we analyze the BSISV in the CMIP3 and two CMIP2+ coupled ocean atmosphere models. Though most models exhibit eastward propagation of convective anomalies over the Indian Ocean, difficulty remains in simulating the life cycle of the BSISV, as few represent its eastward extension into the western/central Pacific. As such, few models produce statistically significant anomalies that comprise the northwest to southeast tilted convection, which results from the forced Rossby waves that are excited by the near-equatorial convective anomalies. Our results indicate that it is a necessary, but not sufficient condition, that the locations the time-mean monsoon heat sources and the easterly wind shear be simulated correctly in order for the life cycle of the BSISV to be represented realistically. Extreme caution is needed when using metrics, such as the pattern correlation, for assessing the fidelity of model performance, as models with the most physically realistic BSISV do not necessarily exhibit the highest pattern correlations with observations. Furthermore, diagnostic latitude-time plots to evaluate the northward propagation of convection from the equator to India and the Bay of Bengal also need to be used with caution. Here, incorrectly representing extratropical tropical interactions can give rise to “apparent” northward propagation when none exists in association with the eastward propagating equatorial convection. Despite these cautions, the use of multiple cross-checking diagnostics enables the fidelity of the simulation of the BSISV to be meaningfully assessed.

330

Coupled Model Simulations of Boreal Summer Intraseasonal (30-50 day) Variability, Part 1: Systematic Errors and Caution on Use of Metrics  

Boreal summer intraseasonal (30-50 day) variability (BSISV) over the Asian monsoon region is more complex than its boreal winter counterpart, the Madden-Julian oscillation (MJO), since it also exhibits northward and northwestward propagating convective components near India and over the west Pacific. Here we analyze the BSISV in the CMIP3 and two CMIP2+ coupled ocean-atmosphere models. Though most models exhibit eastward propagation of convective anomalies over the Indian Ocean, difficulty remains in simulating the life cycle of the BSISV, as few represent its eastward extension into the western/central Pacific. As such, few models produce statistically significant anomalies that comprise the northwest to southeast tilted convection which results from the forced Rossby waves that are excited by the near-equatorial convective anomalies. Our results indicate that it is a necessary, but not sufficient condition, that the locations the time-mean monsoon heat sources and the easterly wind shear be simulated correctly in order for the life cycle of the BSISV to be represented realistically. Extreme caution is needed when using metrics, such as the pattern correlation, for assessing the fidelity of model performance, as models with the most physically realistic BSISV do not necessarily exhibit the highest pattern correlations with observations. Furthermore, diagnostic latitude-time plots to evaluate the northward propagation of convection from the equator to India and the Bay of Bengal also need to be used with caution. Here, incorrectly representing extratropical-tropical interactions can give rise to 'apparent' northward propagation when none exists in association with the eastward propagating equatorial convection. It is necessary to use multiple cross-checking diagnostics to demonstrate the fidelity of the simulation of the BSISV.

331

The LMDZ4 general circulation model: climate performance and sensitivity to parametrized physics with emphasis on tropical convection  

The LMDZ4 general circulation model is the atmospheric component of the IPSL-CM4 coupled model which has been used to perform climate change simulations for the 4th IPCC assessment report. The main aspects of the model climatology (forced by observed sea surface temperature) are documented here, as well as the major improvements with respect to the previous versions, which mainly come form the parametrization of tropical convection. A methodology is proposed to help analyse the sensitivity of the tropical Hadley-Walker circulation to the parametrization of cumulus convection and clouds. The tropical circulation is characterized using scalar potentials associated with the horizontal wind and horizontal transport of geopotential (the Laplacian of which is proportional to the total vertical momentum in the atmospheric column). The effect of parametrized physics is analysed in a regime sorted framework using the vertical velocity at 500 hPa as a proxy for large scale vertical motion. Compared to Tiedtke's convection scheme, used in previous versions, the Emanuel's scheme improves the representation of the Hadley-Walker circulation, with a relatively stronger and deeper large scale vertical ascent over tropical continents, and suppresses the marked patterns of concentrated rainfall over oceans. Thanks to the regime sorted analyses, these differences are attributed to intrinsic differences in the vertical distribution of convective heating, and to the lack of self-inhibition by precipitating downdraughts in Tiedtke's parametrization. Both the convection and cloud schemes are shown to control the relative importance of large scale convection over land and ocean, an important point for the behaviour of the coupled model. (orig.)

332

Entropy generation in Marangoni convection flow of heated fluid in an open ended cavity  

Numerical simulations have been conducted to study the influence of thermocapillary forces on the natural convection of a Newtonian fluid contained in an open cavity. The heated molecules of the fluid are allowed to enter the cavity region to cause the convection flow. The top horizontal surface of the cavity is assumed to be flat and free. The non dimensional partial differential equations that govern the flow and thermal fields are solved using alternate direct implicit (ADI) method together with successive over relaxation (SOR) scheme. The simulation results show that the active spot of maximum entropy generation depends on the magnitudes of Grashof number and Prandtl number, respectively. Entropy generation rate increases with the increase in the Marangoni number. The entropy generatio...

333

Effect of magnetic field on the natural convection from a vertical melting substrate  

This paper presents a self-similar solution of the coupled problem of magneto-hydrodynamic free convection flow of an electrically conducting fluid arising from melting of a semi-infinite solid substrate. At steady state, buoyancy induced free convection of the electrically conducting fluid is influenced by the Lorentz force. A set of governing PDEs is developed for a two dimensional boundary layer problem including phase change which is simplified to a set of ODEs using a similarity transformation and are solved iteratively using an implicit Keller-box method. An asymptotic analytical solution for melting and heat transport rates is also presented for the case of small Prandtl numbers. The effect of each of the three characteristic parameters, viz., the Prandtl number, the melting paramet...

334

Dynamic Causes of the Relation Between Area and Age of the Ocean Floor  

The distribution of seafloor ages determines fundamental characteristics of Earth such as sea level, ocean chemistry, tectonic forces, and heat loss from the mantle. The present-day distribution suggests that subduction affects lithosphere of all ages, but this is at odds with the theory of thermal convection that predicts that subduction should happen once a critical age has been reached. We used spherical models of mantle convection to show that plate-like behavior and continents cause the seafloor area-age distribution to be representative of present-day Earth. The distribution varies in time with the creation and destruction of new plate boundaries. Our simulations suggest that the ocean floor production rate previously reached peaks that were twice the present-day value.

335

Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method  

In the present work, natural convection in an open-ended square cavity packed with porous medium is simulated. The double-population approach is used to simulate hydrodynamic and thermal fields, and the Taylor series expansion and the least-squares-based lattice Boltzmann method has been implemented to extend the thermal model. The effect of a porous medium is taken into account by introducing the porosity into the equilibrium distribution function and adding a force term to the evolution equation. The Brinkman?Forchheimer equation, which includes the viscous and inertial terms, is applied to predict the heat transfer and fluid dynamics in the non-Darcy regime. The present model is validated with the previous literature. A comprehensive parametric study of natural convective flows is perfo...

336

Three dimensional simulation of melt flow in Czochralski crystal growth with steady magnetic fields  

Three-dimensional transient numerical simulations were carried out to investigate the melt convection and temperature fluctuations within an industrial Czochralski crucible. To study the magnetic damping effects on the growth process, a vertical magnetic field and a cusp magnetic field were considered. Due to our special interest in the melt convection, only local simulation was conducted. The melt flow was calculated by large-eddy simulation (LES) and the magnetic forces were implemented in the CFD code by solving a set of user-defined scalar (UDS) functions. In the absence of magnetic fields, the numerical results show that the buoyant plumes rise from the crucible to the free surface and the crystal–melt interface, which indicates that the heat and mass transfer phenomena in Si ...

337

Asymptotic analysis of the near-wall region of turbulent natural convection flows  

High-Grashof-number turbulent natural convection in the vicinity of vertical walls with heat transfer is analysed asymptotically. The near-wall boundary layer has a viscosity-influenced inner layer and a fully turbulent outer layer, similar to the structure of forced convection boundary layers. Scaling laws and wall functions are found by asymptotic matching of the temperature gradients in the overlap layer. The temperature wall function then is a simple logarithmic function of wall distance whereas the velocity profile in the overlap layer is a more complex correlation. Constants in these wall functions are deduced from high-quality data for large Grashof numbers. Experimental as well as numerical profiles as a whole are very well reproduced by the combination of wall functions and viscous sublayer profiles. Therefore these new asymptotic profiles can be used in CFD codes to avoid very fine grids close to the wall, when Grashof numbers are high.

338

Numerical study of a heated cavity insulated by a horizontal laminar jet  

In this work, we present a numerical study of the thermal insulation of a heated two dimensional cavity limited on its superior part by a horizontal plane air jet. The lower horizontal wall is isothermal, while the two vertical walls are adiabatics. A finite difference method based on the stream function-vorticity formulation is developed to solve the dimensionless Navier-Stokes and energy equations resulting from some assumptions. The results allowed us to point out two flow configurations: if natural convection prevails, the hot jet issuing from the nozzle diffuses upwards, and consequently, the cavity cannot be insulated correctly. However, the use of an aspiration zone can then improve the insulation. When forced convection predominates, the hydrodynamic barrier is conserved, and the enclosure is also thermally well confined. (author)

339

Turbulent heat transfer in liquid iron during electron beam evaporation  

Electron beam evaporation of high-purity liquid metals is characterized by vigorous (turbulent) convection in the melt pool resulting in unwelcome heat losses. This convective motion is exclusively driven by thermocapillary forces. We exploit this unique feature to measure the Nusselt number in liquid iron for Marangoni numbers up to 10{sup 8}. The experiments are carried out in a real-to-life test facility for electron beam evaporation. We compare the results of our investigations with findings of a recent scaling analysis. Moreover, we perform direct numerical simulations employing a 2D model. The numerical results demonstrate the turbulent character of the flow as well as the dominance of thermocapillarity over buoyancy. (author)

340

Acoustic enhancement of the rate of heat transfer over a flat plate  

Increasing the rate of heat transfer can improve product quality and lower energy cost for many energy systems and pulsating fluid flow has been used to increase the rate of heat transfer in some situations. Specifically, sound waves below the audible limit, termed infrasound, have been used to increase the rate of heat transfer from small diameter, wire rods. This study examined the effects of infrasound on the rate of heat transfer from a flat plate. The use of infrasound increased the rate of heat transfer by approximately an order of magnitude when compared to natural convection. Infrasonic enhancement of the rate of heat transfer over a two-dimensional region in forced convection was more effective in the laminar flow regime, for Reynolds numbers based on the hydraulic diameter between zero and 10,000. Typically for laminar flow, infrasound increased the rate of heat transfer up to five times the rate of heat transfer without infrasound. For turbulent air flow, however, the increase of the rate of heat transfer was almost negligible. The effect of infrasound on the rate of heat transfer was shown to depend on the air velocity inside the channel, the hydraulic diameter of the channel and the sound pressure level inside the channel. The temperature of the copper plate over the limited range tested did not significantly affect the heat transfer coefficient. It should be noted that the speakers were limited to a maximum sound pressure level of 121 dB, while infrasonic generators are capable of producing sound pressure levels over 170 dB.

 
 
 
 
341

The ITER vacuum vessel heat transfer system - design and safety aspects  

ITER is equipped with several heat transfer systems to remove the heat generated in the Tokamak. The vacuum vessel heat transfer system (VV HTS), one of the heat transfer systems, has been classified as a safety related system as its function includes the removal of residual heat, stored heat in the VV and decay heat, from in-vessel components when their respective cooling loops are not available. A fully passive decay heat removal capability has been included in its design to provide inherently safe rejection of residual heat to the ultimate heat sink. The VV HTS consists of two independent loops, each including a circulation pump, an ebullience pipe, a steam separator, and an air cooled heat exchanger which dissipates the heat load into the environment (i.e. the outside air) as the ultimate heat sink. The heat load on the vacuum vessel during pulsed operation is 1.5 MW for each of two VV HTS loops, and for normal operation forced circulation is used. The residual heat, including the decay heat, in the in-vessel components is transferred to the vacuum vessel by radiant heat transfer during off-normal operation. It peaks at about 3.0 MW at 20 hours after a postulated loss of in-vessel cooling initiation. Only natural convection in the VV HTS is credited under off-normal conditions from the safety point of view. The VV HTS has been designed to meet the safety requirements, and the thermal hydraulic behavior during decay heat removal under off-normal conditions has been confirmed analytically. (authors)

342

Laser induced thermophoresis and particulate deposition efficiency  

The interaction of laser radiation and an absorbing aerosol in a tube flow has been considered. The aerosol is produced by external heating of reactants as in the MCVD (Modified Chemical Vapor Deposition) process to produce submicron size particles in the manufacture of optical fiber preforms. These are subsequently deposited by thermophoretic forces on the inner wall of the tube as they are convected by a Poiseuille velocity profile. Axial laser radiation in the tube interacts with the absorbing particles, and the laser heating of the gas induces additional thermophoretic forces that markedly increase the efficiency of particulate deposition. A particle concentration dependent absorption coefficient that appears in the energy equation couples the energy equation to the equation of particle conservation, so that a non-linear set of coupled partial integrodifferential equations must be solved. Numerical solutions for aerosol particle trajectories, and thus deposition efficiencies, have been obtained. It is shown that laser enhanced thermophoresis markedly improves the deposition efficiency.

343

Heat transfer for forced convection condensation of R123, R134a and their mixtures flowing between two horizontal parallel plates. Numerical study; Transfert thermique pour la condensation du R123, du R134a et de leurs melanges, en ecoulement force entre deux plaques planes horizontales. Etude numerique  

Film condensation of pure and binary mixtures flowing between parallel plates is treated numerically. The coupled equations of mass, momentum, species and energy conservations of the two phases are solved with an implicit scheme. In this study, we retained the pressure forces, the liquid and vapor interfacial shear stress, the Dufour effect, the inertia and enthalpy convention terms, the turbulence in the two phases and the variation of the physical properties with the temperature and concentration. The results obtained for the condensation of refrigerants R123 and R134a, show strong influence of the composition of mixture on the mean heat transfer coefficient and the total pressure loss. The calculated mean Nusselt number is in good agreement with the experimental correlations of Mochizuki and Inoue and Akers and Rosson. A new correlation for the mean heat transfer for forced convection condensation of pure refrigerants R123 nd R134a and their mixtures between horizontal flat plates is proposed. (authors) 24 refs.

344

Tropical Warm Pool International Cloud Experiment (TWP-ICE): Cloud and Rain Characteristics in the Australian Monsoon  

The impact of oceanic convection on its environment and the relationship between the characteristics of the convection and the resulting cirrus characteristics is still not understood. An intense airborne measurement campaign combined with an extensive network of ground-based observations is being planned for the region near Darwin, Northern Australia, during January-February, 2006, to address these questions. The Tropical Warm Pool – International Cloud Experiment (TWP-ICE) will be the first field program in the tropics that attempts to describe the evolution of tropical convection, including the large scale heat, moisture, and momentum budgets, while at the same time obtaining detailed observations of cloud properties and the impact of the clouds on the environment. The emphasis will be on cirrus for the cloud properties component of the experiment. Cirrus clouds are ubiquitous in the tropics and have a large impact on their environment but the properties of these clouds are poorly understood. A crucial product from this experiment will be a dataset suitable to provide the forcing and testing required by cloud-resolving models and parameterizations in global climate models. This dataset will provide the necessary link between cloud properties and the models that are attempting to simulate them. The experiment is a collaboration between the U.S. Department of Energy (DOE) Atmospheric Radiation Measurement (ARM) Program, the Bureau of Meteorology (BoM), the National Aeronautics and Space Administration (NASA), the European Commission DG RTD-1.2, and several United States, Australian, Canadian, and European Universities. This experiment will be undertaken over a 4-week period in early 2006. January and February corresponds to the wet phase of the Australia monsoon. This season has been selected because, despite Darwin’s coastal location, the convection that occurs over and near Darwin at this time is largely of maritime origin with a large fetch over water. Based on previous experiments, the convection appears typical of maritime convection with widespread convection that has complex organization, but is not as deep or as intense as continental or coastal convection. Therefore, it is expected that the convection and cloud characteristics will be representative of conditions typical for wide areas of the tropics.

345

A Convective Vorticity Vector Associated With Tropical Convection: A 2D Cloud-Resolving Modeling Study  

Although dry/moist potential vorticity is a useful physical quantity for meteorological analysis, it cannot be applied to the analysis of 2D simulations. A convective vorticity vector (CVV) is introduced in this study to analyze 2D cloud-resolving simulation data associated with 2D tropical convection. The cloud model is forced by the vertical velocity, zonal wind, horizontal advection, and sea surface temperature obtained from the TOGA COARE, and is integrated for a selected 10-day period. The CVV has zonal and vertical components in the 2D x-z frame. Analysis of zonally-averaged and mass-integrated quantities shows that the correlation coefficient between the vertical component of the CVV and the sum of the cloud hydrometeor mixing ratios is 0.81, whereas the correlation coefficient between the zonal component and the sum of the mixing ratios is only 0.18. This indicates that the vertical component of the CVV is closely associated with tropical convection. The tendency equation for the vertical component of the CVV is derived and the zonally-averaged and mass-integrated tendency budgets are analyzed. The tendency of the vertical component of the CVV is determined by the interaction between the vorticity and the zonal gradient of cloud heating. The results demonstrate that the vertical component of the CVV is a cloud-linked parameter and can be used to study tropical convection.

346

Heat Transfer Characteristics of a Thermo-sensitive Magnetic Fluid in Micro-channel  

In the present study, the flow characteristics and heat transfer of a thermo-sensitive magnetic fluid, which is a multiphase-flow material, were investigated experimentally. The mini-channels considered herein have a depth of 0.5 mm, with the nominal channel width being equal to five times the depth. The channel device was constructed from a Teflon tube. The operation of the device is based on the thermo-magnetic characteristics of the fluid, a suspension of Mn-Zn ferrite particles in kerosene, the magnetization of which is known to decrease with increasing temperature. The experimental parameters were magnetic force, the position of the magnet, and the temperature of the magnetic fluid. The experimental results indicate that force convection based on the magnetic characteristics of the fluid in the mini-channel exhibits excellent cooling performance. Furthermore, the flow characteristic of the thermo-sensitive magnetic fluid was found to be strongly dependent on the magnetic condition, such as the force and the position.   

347

Evolution of particle size distribution after the CFFF secondary combustor  

Particle size distribution after the CFFF secondary combustor is studied in this paper. As an important mechanism of particle collision, thermophoresis is briefly discussed in this paper and the thermophoretic velocity is given. The temperature gradient that causes the thermophoretic force is established between high and low temperature particles in the flow, which results from convection and radiation heat balance between particles and wall. Particle temperature with respect to their sizes is obtained. Mechanism of agglomeration and collection efficiency of fine particles is presented. Finally, at the inlet of the ESP, theoretical particle size distribution is compared with the experimental measurements at CFFF.

348

Evolution of particle size distribution after the CFFF secondary combustor  

Particle size distribution after the CFFF secondary combustor is studied in this paper. As an important mechanism of particle collision, thermophoresis is briefly discussed in this paper and the thermophoretic velocity is given. The temperature gradient that causes the thermophoretic force is established between high and low temperature particles in the flow, which results from convection and radiation heat balance between particles and wall. Particle temperature with respect to their sizes is obtained. Mechanism of agglomeration and collection efficiency of fine particles is presented. Finally, at the inlet of the ESP, theoretical particle size distribution is compared with the experimental measurements at CFFF.

349

An asymptotic theory for laminar film condensation on a flat plate including variable property effects. Eine asymptotische Theorie fuer laminare Filmkondensation an einer ebenen Platte unter besonderer Beruecksichtigung variabler Stoffwerteffekte  

Forced convection laminar film condensation on a flat plate under the thermal boundary condition T{sub w} = const. is studied to demonstrate the advantages of an asymptotic approach to rather complex two-phase flow and heat transfer problems. A regular perturbation solution is derived by introducing two perturbation parametrs. Variable property effects are included asymptotically. The Prandtl-number in the vapour-phase is the only solution parameter of this problem. Non-asymptotic solutions are far less general than asymptotic ones. Even in the constant property case they are six parameters in the non-asymptotic solutions. (orig.).

350

Single phase channel flow forced convection heat transfer  

A review of the current knowledge of single phase forced convection channel flow of liquids (Pr > 5) is presented. Two basic channel geometries are considered, the circular tube and the rectangular duct. Both laminar flow and turbulent flow are covered. The review begins with a brief overview of the heat transfer behavior of Newtonian fluids followed by a more detailed presentation of the behavior of purely viscous and viscoelastic Non-Newtonian fluids. Recent developments dealing with aqueous solutions of high molecular weight polymers and aqueous solutions of surfactants are discussed. The review concludes by citing a number of challenging research opportunities.

351

Effect of Heat Generation on Forced Convection Through a Porous Saturated Duct  

The effect of heat generation on the flow characteristics of the fully developed forced convection through a porous duct is investigated analytically on the basis of Brinkman?Forchheimer model. The duct is bounded by two isoflux plates. For solving momentum equation a regular asymptotic expansion method is used for hyper-porous materials and a matched asymptotic expansion method is used for low-porous materials. This solution permits a uniform solution for the energy equation to find the temperature distribution as well as Nusselt number. A numerical solution is found here to check the accuracy of the asymptotic one.

352

Numerical simulation of forced convection heat transfer from a cylinder with high conductivity radial fins in cross-flow  

The problem of cross-flow forced convection heat transfer from a horizontal cylinder with multiple equally spaced high conductivity radial fins on its outer surface was investigated numerically. The effect of several combinations of number of fins and fin height on the average Nusselt number was studied over the range of Reynolds number (1-200). The results showed that there was an optimum number of fins to obtain the maximum Nusselt number for a given value of fin height and Reynolds number. Short fins (H{<=}0.1) slightly decreased the Nusselt number. A large number of long fins reduced the Nusselt number at the top range of Reynolds number studied. (authors)

353

New hot wire anemometer with alternate current and synchronic detection  

The feasibility of hot wire anemometer in to a new measurement configuration is demonstrated in this work and we validate our results by a numerical model. We have created an anemometer probe with hot wire using a new scheme, in alternate current and synchronic detection (3? method). We use this instrument to register the velocity magnitude in boundary layer for a forced convection flow. The probe and its alimentation also the measuring support and bridge Wheatstone, have been created by us. The physical parameter was recorded is an exchange heat quantity between hot wire and fluid flow. In steady state, experimental data verify the numerical results with an average error of 3%.

354

Combined effects of internal heat generation and higher order chemical reaction on the non-darcian forced convective flow of a viscous incompressible fluid with variable viscosity and thermal conductivity over a stretching surface embedded in a porous medium  

Abstract In this paper, we study the combined effects of internal heat generation and higher order chemical reaction on a steady two-dimensional non-Darcian forced convective flow of a viscous incompressible fluid with variable dynamic viscosity and thermal conductivity in a fluid saturated porous medium passing over a linear stretching sheet. Using similarity transformations, the governing nonlinear-coupled partial differential equations are made dimensionless and solved numerically for similarity solutions using very robust computer algebra software Maple 8. The non-dimensional velocity, temperature and concentration distributions are presented graphically for various pertinent parameters such as relative temperature difference parameter, Darcy number, porosity parameter, reaction rate p...

355

Dimensioning of a two-phase loop for the study of the cooling of power electronics components; Dimensionnement d`une boucle diphasique pour l`etude du refroidissement des composants d`electronique de puissance  

After having chosen between different cooling solutions for a given power electronics component, the dimensioning of a two-phase forced convection loop is described. The power electronics component is a 12 x 12 mm silicon pellet which can dissipate up to 400 W/cm{sup 2} heat fluxes. In a first step, the minimum size of channels is determined according to fluid characteristics, pressure drop and critical fluxes. In a second step, the coupled dimensioning of both the evaporator and the condenser is determined for different values of pipes diameter and mass flow rates. (J.S.) 8 refs.

356

Heat and mass transfer through a thick bed of cocoa beans during drying  

This article relates to the establishment of macroscopic equations of thick and fixed hygroscopical porous medium allowing an analysis of couply phenomena of heat and mass transfers in drying operation. The drying is done through forced convection by imposing a circulation of hot air across the layer. The authors then make their study particular to the case of thick layer of cocoa beans grown in the region of Yaounde in cameroon. A study realized on a prototype constructed and tested in the laboratory enables the validation of the proposed model.

357

Thermal analysis of the ATLAS dump system  

The dump system of the ATLAS Magnet, situated on third level of the USA15 cavern is an assembly of diodes and dump resistors through which the energy stored in the Magnet is dissipated when running down the magnet current to zero. The dump system is permanently connected to the Magnet through a system of bus bars and is able to dissipate about 1.5 GJ of energy in 3 hours. The goal of this thermal analysis, performed by ST/CV, is to understand whether the heat released by the dump system can be removed by free convection into the PX15 shaft or if forced ventilation is needed

358

Heat and mass transfer through a thick bed of cocoa beans during drying  

This article relates to the establishment of macroscopic equations of thick and fixed hygroscopical porous medium allowing an analysis of couply phenomena of heat and mass transfers in drying operation. The drying is done through forced convection by imposing a circulation of hot air across the layer. The authors then make their study particular to the case of thick layer of cocoa beans grown in the region of Yaounde in cameroon. A study realized on a prototype constructed and tested in the laboratory enables the validation of the proposed model. (orig.)

359

A theoretical prediction of critical heat flux in forced convection boiling during power transients  

In this paper, a theoretical prediction of critical heat flux (CHF) during power transients in forced convective boiling is presented. The analysis is restricted to the departure from nucleate boiling (DNB) type of CHF at low qualities. The developed theory is compared with the experimental data available in the literature. The agreement is favorable. The results are discussed in terms of the various parameters affecting the transient CHF. This new model also is compared with the semi-empirical transient CHF model in the literature.

360

Models of convection-driven tectonic plates - A comparison of methods and results  

Recent numerical studies of convection in the earth's mantle have included various features of plate tectonics. This paper describes three methods of modeling plates: through material properties, through force balance, and through a thin power-law sheet approximation. The results obtained are compared using each method on a series of simple calculations. From these results, scaling relations between the different parameterizations are developed. While each method produces different degrees of deformation within the surface plate, the surface heat flux and average plate velocity agree to within a few percent. The main results are not dependent upon the plate modeling method and herefore are representative of the physical system modeled.

 
 
 
 
361

The Earth  

This lesson covers the interior of the Earth, geological differentiation, plate tectonics, composition and layers of the atmosphere, weather and climate, consequences of rotation for weather, the magnetic field, magnetosphere and Van Allen Radiation Belts of Earth, auroras (Northern and Southern Lights, and imaging the Earth. There is information on seismic waves, and convection currents; an animation of continental drift; evidence for plate tectonics, including maps of crustal plate boundaries and the age of the sea floor crustal plates; and explanations of solar heating, Coriolis forces, cyclones and anticyclones.

362

Parallel Computations of Natural Convection Flow in a Tall Cavity Using an Explicit Finite Element Method  

The Galerkin Finite Element Method was used to predict a natural convection flow in an enclosed cavity. The problem considered was a differentially heated, tall (8:1), rectangular cavity with a Rayleigh number of 3.4 x 10{sup 5} and Prandtl number of 0.71. The incompressible Navier-Stokes equations were solved using a Boussinesq approximation for the buoyancy force. The algorithm was developed for efficient use on massively parallel computer systems. Emphasis was on time-accurate simulations. It was found that the average temperature and velocity values can be captured with a relatively coarse grid, while the oscillation amplitude and period appear to be grid sensitive and require a refined computation.

363

Heat and mass transfer in multi-porous cavity  

The study of heat and mass transfer in porous media has a large number of applications in the areas of environmental geothermal and petroleum engineering. Problems such as the disposal of waste material and groundwater contamination are only few applications of the present work. When heat and species transfer takes place within a fluid layer, the temperature and concentration gradients create a convection mode. This phenomenon is called double-diffusive convection. In this paper, two-dimensional non-linear double diffusive convection in a multiporous cavity is considered. The Darcy equation, including Brinkman term to account for the viscous effects, is used as the momentum equation. The model consists of two rectangular cavities filled with glass beads having a diameter d{sub 1} of either 5.25 mm (Case 1) or 3.25 mm (Case 2). The smaller cavity is located at the top left corner of the larger one. The larger cavity is filled initially with hot salty fluid while the smaller one contains initially cold fresh fluid. At the initial time, the obstacle between the two cavities was released and the double diffusive phenomena were studied in details. The momentum, solutal, energy and continuity equations are solved numerically using the finite element technique. This transient problem is solved for two different Darcy numbers. For each Darcy number, the influence of the solutal Rayleigh number on double diffusive convection was studied in details. The permeability in the horizontal and vertical direction was assumed identical. A comparison of the intruding force between this case and the open flow case studied by Saghir et al. showed that it is inversely proportional to the Darcy number. Finite element modeling results indicate that salinity induces stronger convection than the thermal ones.

364

Numerical study of mixed convection flow in a lid-driven cavity with sinusoidal heating on sidewalls using nanofluid  

Mixed convection flow of Cu-water nanofluid inside a lid-driven square cavity with adiabatic horizontal walls and sinusoidal heating on sidewalls has been investigated numerically. The effects of increase in shear force for a fixed buoyancy force and effects of increase in buoyancy force for a fixed shear force were investigated. Effects of variations of Richardson number, phase deviation of sinusoidal heating, and volume fraction of nanoparticles on flow and temperature field were studied. The obtained results showed that for a constant Grashof number at all Richardson numbers, a clockwise eddy was developed inside the cavity, also the rate of heat transfer increases with decrease in Richardson number and increase of volume fraction of nanoparticles. For a constant Reynolds number the clockwise eddy is observed up to Ri = 1. For Ri = 10 a multicellular flow pattern is formed inside the cavity. Moreover it was found that when the Reynolds number is kept constant, the rate of heat transfer increases with increase in Richardson number.

365

SCDAP/RELAP5 Modeling of Fluid Heat Transfer and Flow Losses Through Porous Debris in a Light Water Reactor  

The SCDAP/RELAP5 code is being developed at the Idaho National Engineering and Environmental Laboratory under the primary sponsorship of the U.S. Nuclear Regulatory Commission (NRC) to provide best-estimate transient simulations of light water reactor coolant systems during severe accidents. This paper describes the modeling approach used in the SCDAP/RELAP5 code to calculate fluid heat transfer and flow losses through porous debris that has accumulated in the vessel lower head and core regions during the latter stages of a severe accident. The implementation of heat transfer and flow loss correlations into the code is discussed, and calculations performed to assess the validity of the modeling approach are described. The different modes of heat transfer in porous debris include: (1) forced convection to liquid, (2) forced convection to gas, (3) nucleate boiling, (4) transition boiling, (5) film boiling, and (6) transition from film boiling to convection to vapor. The correlations for flow losses in porous debris include frictional and form losses. The correlations for flow losses were integrated into the momentum equations in the RELAP5 part of the code. Since RELAP5 is a very general non-homogeneous non-equilibrium thermal-hydraulics code, the resulting modeling methodology is applicable to a wide range of debris thermal-hydraulic conditions. Assessment of the SCDAP/RELAP5 debris bed thermal-hydraulic models included comparisons with experimental measurements and other models available in the open literature. The assessment calculations, described in the paper, showed that SCDAP/RELAP5 is capable of calculating the heat transfer and flow losses occurring in porous debris regions that may develop in a light water reactor during a severe accident.

366

SCDAP/RELAP5 modeling of fluid heat transfer and flow losses through porous debris in a light water reactor  

The SCDAP/RELAP5 code is being developed at the Idaho National Engineering and Environmental Laboratory under the primary sponsorship of the U.S. Nuclear Regulatory Commission (NRC) to provide best-estimate transient simulations of light water reactor coolant systems during severe accidents. This paper describes the modeling approach used in the SCDAP/RELAP5 code to calculate fluid heat transfer and flow losses through porous debris that has accumulated in the vessel lower head and core regions during the latter stages of a severe accident. The implementation of heat transfer and flow loss correlations into the code is discussed, and calculations performed to assess the validity of the modeling approach are described. The different modes of heat transfer in porous debris include: (1) forced convection to liquid, (2) forced convection to gas, (3) nucleate boiling, (4) transition boiling, (5) film boiling, and (6) transition from film boiling to convection to vapor. The correlations for flow losses in porous debris include frictional and form losses. The correlations for flow losses were integrated into the momentum equations in the RELAP5 part of the code. Since RELAP5 is a very general non-homogeneous non-equilibrium thermal-hydraulics code, the resulting modeling methodology is applicable to a wide range of debris thermal-hydraulic conditions. Assessment of the SCDAP/RELAP5 debris bed thermal-hydraulic models included comparisons with experimental measurements and other models available in the open literature. The assessment calculations, described in the paper, showed that SCDAP/RELAP5 is capable of calculating the heat transfer and flow losses occurring in porous debris regions that may develop in a light water reactor during a severe accident.

367

An analytical model to predict the condensation heat transfer coefficient in horizontal microfin tubes  

A general analytical model to predict the condensation heat transfer coefficient of pure refrigerants in horizontal microfin tubes is developed in this paper. The model basically follows the smooth tube correlation proposed by Haraguchi et al. (1994), in which the total condensation coefficient is composed of the contributions of film condensation and forced convective condensation. For the microfin tube, the film condensation term is estimated from the product of total unflooded area and local enhancement factor, while the heat transfer coefficient of forced convective condensation is set equal to that of the smooth tube. The predicted results show good agreement with experimental results, and it is shown that effects of the parameters that characterize the microfin tube, i.e., pipe diameter, fin height, fin pitch, and fin-tip angle, are well predicted for the first-order approximation. Also, high heat transfer coefficient is reproduced at high quality range with the present model, which assumes that the liquid phase is distributed only in the valley of the grooves for this quality region.

368

TRANSIENT-FORCED CONVECTION FILM BOILING ON AN ...  

I. TITLE AND SUBTITLE. Transient-Forced ... A new approach for the solution of transient-forced convection film boiling on an isothermal flat plate using the .... For making the problem tractable, the isothermal condition of the plate is assumed.

369

Harnessing thermal mass with precast concrete construction  

A method of transforming dormant building mass into active thermal storage mediums was presented. The thermal energy storage system (TES) was designed to reduce heating and cooling requirements in buildings through the use of insulated precast concrete sandwich wall panels that stored and released absorbed heat. The active thermal mass system used hollow core floor and roof slabs that were actively ventilated using warm and cool air circulated through the slab voids. The study demonstrated that passing air through the cores of the hollow slabs doubled the heat transfer areas. Convective heat transfer was increased due to forced convection in the cores of the slabs. Approximately 75 per cent of the thermal energy from the tempered ventilation air was absorbed by the slab. Fan power was used at night to reduce cooling loads during the day, as the fan drew in cooler outdoor air during the summer months. Conventional heating, air conditioning and ventilation (HVAC) systems can also be used to pass air into the hollow slabs. The TES also reduced emissions of carbon dioxide (CO{sub 2}) and nitrogen oxides (NO{sub x}) from chiller and air conditioning systems. It was concluded that use of the systems will reduce day-time power generation peaks and significantly reduce building energy consumption. 5 refs., 12 figs.

370

Mixed convective and radiative heat transfer in an inclined rotating rectangular duct with a centered circular tube  

Abstract in english A numerical study of steady state laminar forced and free convective and radiative heat transfer in an inclined rotating rectangular duct with a centered circular tube is reported for an hydrodynamically fully developed flow. The two heat transfer mechanisms of convection and radiation are treated independently and simultaneously. The coupled equations of momentum and energy transports are solved using Gauss-Seidel iteration technique subject to given boundary constraints (more) . A thermal boundary condition of uniform wall temperature in the flow direction is considered. A special discritization method is employed to solve the problem associated with near boundary grid points. Results for mean and total mean Nusselt numbers for various values of Reynolds number ,Re; Rayleigh number , Ra ; Geometric ratio ,r g ; Aspect ratio, rA ; Radiation-Conduction parameter , . ; Optical thickness, J ; Rotational Reynolds number ,Ro and Emissivity, epsilon ; are presented. For the range of parameters considered, results show that radiation and rotation enhance heat transfer. It is also indicated in the results that heat transfer from the surface of the circle exceeds that of the rectangle. Optimum heat transfer and fluid bulk temperature are attained when the duct is vertically positioned. The Parameter ranges of 0.2 # r g # 0.84, 0 # PeRa # 7.3 x 10(5) and r g rA # 1 demarcate the extent of the validity of the numerical solution.

371

Influence of channel diameter on subcooled flow boiling burnout at high heat fluxes  

Among the many technical challenges that fusion technology has given rise to over the recent past, particular interest was reserved to the handling of the plasma and the heat from fusion reactions. In particular, some components of fusion reactors, such as divertors, plasma limiters, neutral beam calorimeter, ion dump and first-wall armor, are estimated to be subjected to very high heat loads. Heat fluxes to be removed range from 2 to 60 MW m[sup -2], and forced convective subcooled boiling can accommodate these very high heat fluxes. However, successful use of subcooled flow boiling for high heat fluxes removal requires the critical heat flux (CHF), which is described as a sharp reduction in the energy transfer from a heated surface, not to be reached. The occurrence of CHF, for the case of heat flux controlled systems, results in a significant increase of the wall temperature, which is usually well above that at which serious damage or 'burnout' of the heating surface occurs. The number of data points regarding the effect of diameter on CHF in subcooled flow boiling is limited and even more reduced information is available in operating ranges typical of fusion reactor thermal hydraulics (high liquid velocity and subcooling, i.e. high heat fluxes). The aim of this technical note is to provide a critical status of the art of experiments carried out so far under the above-mentioned conditions with regard to the effect of diameter. (Author).

372

2  

Many proposed space reactor designs employ heat pipes as a means of convey- ing heat. Previous .... exterior radiative heat loss, convection to the core gas and evaporation at the core-wick ... EXPERIMENTAL STARTUP OBSERVATIONS ...

373

Impact of background flow on dissolution trapping of carbon dioxide injected into saline aquifers  

While there has been a large interest in studying the role of dissolution-driven free convection in the context of geological sequestration, the contribution of forced convection has been largely ignored. This manuscript considers CO$_2$ sequestration in saline aquifers with natural background flow and uses theoretical arguments to compute the critical background velocity needed to establish the forced convective regime. The theoretical arguments are supported by two dimensional high-resolution numerical simulations which demonstrate the importance of forced convection in enhancing dissolution in aquifers characterised by low Rayleigh numbers.

374

Unsteady laminar forced convection heat transfer due to rapid decrease in flow rate of liquid sodium in a concentric annulus  

Experiments have been made of unsteady forced convection heat transfer from a heated surface of 52 mm in length on an inner cylinder of 7.6 mm in diameter to liquid sodium flowing in a vertically orientated concentric annulus with 14.3 mm inside diameter. With constant heat flux of 1.0 x 10{sup 6} W/m{sup 2}, liquid sodium flow rate was reduced ramp-wise within about 25 seconds from an initial equilibrium state, Pe=72, to Pe=6.4 and from Pe=141 to 11.5 where Pe denotes the Peclet number. A numerical model capable of describing the effect of heat conduction in the inner and outer walls of an annulus as well as in liquid sodium was developed. The numerical results obtained by the model agree with the experimental results for the two different flow transient conditions. The numerical model proved to be valid for expressing the unsteady laminar forced convection heat transfer caused by a decrease in sodium flow rate in a concentric annular passage. The theoretical results for various flow reduction periods revealed that the time delays in heated wall temperature rise from that predicted by a model for constant flow rates were little influenced by the flow reduction periods ranging from about 25 down to 2 sec. As the surface temperatures calculated by the present model became always equal to or lower than those by the constant flow rate model over the investigated flow reduction range and periods, the constant flow rate model is a simple but effective method for safety evaluation of transient heated wall temperature rise caused by rapid decrease in flow rate. (author)

375

Radiative Heat Transfer Analysis in a Turbulent Natural Convection Obtained from Direct Numerical Simulation  

Thermal radiation in a turbulent natural convection plays an important role in a wide area of engineering and nature. The purposes of this study are to investigate the effects of turbulent fluctuation on radiative heat transfer, and to evaluate radiative heat transfer models applied to turbulent natural convection. The present radiative heat transfer analysis of a turbulent natural convection using direct numerical simulation (DNS) provides a useful fundamental data for the complete coupling simulation in the future.   

376

Deep Jets from Shallow Forcing on Gas Giant Planets  

We present numerical simulations of the formation, vertical structure, and stability of zonal jets produced from latitudinal contrasts in solar heating on a giant planet. In particular, we test the assumption -- which is common in the literature -- that jets induced by solar heating would remain confined to shallow layers of the atmosphere. We solve the full nonlinear primitive equations in spherical geometry using the MITgcm, which is a state-of-the-art circulation model developed at MIT within the past few years. The simulations contain a stratosphere and stably stratified troposphere overlying a deep adiabatic region representing Jupiter's interior. Thermal forcing (radiative heating and cooling) is applied at pressures less than 3 bars, but not in deeper layers where the radiative-heating rates are expected to be low. In our simulations, the flow experiences baroclinic instabilities in the thermally forced layers that generate multiple zonal jets in the upper troposphere. Interestingly, these multiple jets gradually develop a deep barotropic component extending to the bottom of the model at 100 bars (far below the level of forcing). Long-time integrations show that the deep wind component can achieve magnitudes comparable to the wind speeds in the upper troposphere. These results disprove the common-sense notion that shallow forcing only produces shallow jets. An implication is that the deep winds measured by the Galileo probe to pressures of 22 bars could just as easily result from shallow forcing as from deep (e.g., convective) forcing (contrary to the claims of many publications). Linear calculations performed off-line suggest that these deep jets result from Coriolis accelerations acting on deep meridional circulations induced by the upper-level forcing. Interestingly, some of our simulations develop a superrotating (eastward) equatorial jet, which may be relevant in explaining the superrotating equatorial jets on Jupiter and Saturn.

377

Atmospheric Processes--Convection  

This activity begins with an explanation of the heat transfer process of convection, the transfer of heat by the actual movement of the heated material. In the activity, students observe convective currents in water and learn that air can behave as as a fluid.

378

Experimental study of conjugate heat transfer from liquid metal layer cooled by overlying freon  

Steady-state and transient experiments were performed for the heat transfer from the liquid metal pool with overlying Freon (R113) coolant in the process of boiling. The simulant molten pool material is tin (Sn) with the melting temperature of 232 Celsius degrees. The metal pool is heated from the bottom surface and the coolant is injected onto the molten metal pool. Tests were conducted under the condition of the bottom surface heating in the test section and the forced convection of the R113 coolant being injected onto the molten metal pool. The bottom heating condition was varied from 8 kW to 14 kW. The temperature distributions of the metal layer and coolant were obtained in the steady-state experiment. The boiling mechanism of the R113 coolant was changed from the nucleate boiling to film boiling in the transient experiment. The critical heat flux (CHF) phenomenon was observed during the transition from the nucleate boiling to the film boiling. Also, the Nusselt (Nu) number and the Rayleigh (Ra) number in the molten metal pool region were obtained as functions of time. Analysis was done for the relationship between the heat flux and the temperature difference between the metal layer surface and the boiling coolant. In this experiment, the heat transfer is achieved with accompanying solidification in the molten metal pool by the boiling R113 coolant there above. The present test results of the natural convection heat transfer on the molten metal pool are higher than those of the liquid metal natural convection heat transfer without coolant boiling. It can be interpreted that the heat transfer rate is enhanced by the overlying boiling coolant having the high heat removal rate. Analysis of the relationship between the heat flux and the difference between the metal layer surface temperature and the coolant bulk boiling temperature revealed that the CHF occurs when the temperature difference reaches a neighborhood of 50 Celsius degrees. Also, if the temperature difference exceeds 50 Celsius degrees due to elevation of the metal layer temperature, it is shown that the heat flux tends to decrease. (authors)

379

Numerical investigations of fault-induced seawater circulation in the Seferihisar-Balçova Geothermal system, western Turkey  

The Seferihisar-Balçova Geothermal system (SBG), Turkey, is characterized by temperature and hydrochemical anomalies along the faults: thermal waters in northern Balçova are heated meteoric freshwater, whereas the hot springs of the southern Seferihisar region have a strong seawater contribution. Previous numerical simulations of fluid flow and heat transport indicated that focused upsurge of hot water in faults induces a convective-like flow motion in surrounding units. Salt transport is fully coupled to thermally driven flow to study whether fault-induced convection cells could be responsible for seawater encroachment in the SBG. Isotope data are presented to support the numerical findings. The results show that fault-induced convection cells generate seawater plumes that extend from the seafloor toward the faults. At fault intersections, seawater mixes with rising hot thermal waters. The resulting saline fluids ascend to the surface along the fault, driven by buoyant forces. In Balçova, thick alluvium, minor faults and regional flow prevent ascending salty water from spreading at the surface, whereas the weak recharge flow in the thin alluvium of the southern SBG is not sufficient to flush the ascending hot salty waters. These mechanisms could develop in any faulted geothermal system, with implications for minerals and energy migration in sedimentary basins.

380

Mixed convection through vertical porous annuli locally heated from the inner cylinder  

The purpose of the present study is to examine the influence of both aiding and opposing external flows on the buoyancy-induced natural convection in vertical porous annuli. The effects of radius ratio are taken into account in a numerical study. Measurements of heat transfer coefficients in aiding and opposing flows cover the free to forced convective heat transfer regimes. Mixed convection in a vertical annulus filled with a saturated porous medium is numerically and experimentally investigated. Calculations are carried out under the traditional Darcy assumptions and cover the ranges 10 {le} Ra {le} 200 and 0.01 {le} Pe {le} 200. Both numerical and experimental results show that the Nusselt number increases with either Ra or Pe when the imposed flow is in the same direction as the buoyancy-induced flow. When the imposed flow opposes buoyancy-induced flow, the Nusselt number first decreases with an increase of the Peclet number and reaches a minimum before increasing again. Under certain circumstances, the Nusselt number for a lower Rayleigh number may exceed that for larger value. Nusselt numbers are correlated by the parameter groups Nu/Pe{sup 1/2} and Ra/Pe{sup 3/2}. Good agreement exists between measured and predicted Nusselt numbers, and the occurrence of a minimum Nusselt number in mean flow that opposes buoyancy is verified experimentally.

 
 
 
 
381

Numerical modelling of flows using phoenics  

The generalized, all-purpose code PHOENICS for the modelling of heat, mass, and momentum transfer in fluids is evaluated. The concept behind PHOENICS as a program for numerically simulating all sorts of flow is explained. The various models it uses for different purposes are briefly described as well as how these fit into the large framework that makes the program easily adaptable. Also covered are the many methods PHOENICS uses for the solution of the differential equations involved in problems of fluid flow, in other words, its mathematical basis. Several examples of PHOENICS in action are included. The program is used to solve the well known problem of natural convection inside an enclosed cavity with different wall temperatures. The second problem is that of forced convection inside a cavity with a moving lid, whose solution is, like the first, quite well established. The third problem involves two-phase flow, that of boiling inside a vertical pipe heated from the sides. Comparisons are made with known correct solutions, in particular, the Benchmark solution for natural convection and CAV2CON. For the multi-phase problem, a comparison is made with an empirical solution. The results of PHOENICS generally did not tally very well with the other solutions. The main defect was one of accuracy although other minor deficiencies were also revealed.

382

Thermal analysis of the failed equipment storage vault system  

A storage facility for failed glass melters is required for radioactive operation of the Defense Waste Processing Facility (DWPF). It is currently proposed that the failed melters be stored in the Failed Equipment Storage Vaults (FESV`s) in S area. The FESV`s are underground reinforced concrete structures constructed in pairs, with adjacent vaults sharing a common wall. A failed melter is to be placed in a steel Melter Storage Box (MSB), sealed, and lowered into the vault. A concrete lid is then placed over the top of the FESV. Two melters will be placed within the FESV/MSB system, separated by the common wall. There is no forced ventilation within the vault so that the melter is passively cooled. Temperature profiles in the Failed Equipment Storage Vault Structures have been generated using the FLOW3D software to model heat conduction and convection within the FESV/MSB system. Due to complexities in modeling radiation with FLOW3D, P/THERMAL software has been used to model radiation using the conduction/convection temperature results from FLOW3D. The final conjugate model includes heat transfer by conduction, convection, and radiation to predict steady-state temperatures. Also, the FLOW3D software has been validated as required by the technical task request.

383

Experimental investigation of air side heat transfer and fluid flow performances of multi-port serpentine cross-flow mesochannel heat exchanger  

Highlights: Black-Right-Pointing-Pointer Air side heat transfer and flow characteristics of mesochannel cross-flow heat exchanger are studied experimentally. Black-Right-Pointing-Pointer Hot ethylene glycol-water mixture (50:50) at constant mass flow rate is used against varying air flow. Black-Right-Pointing-Pointer Air side heat transfer and fluid flow key parameters such as Nusselt number, Colburn factor, friction factor are obtained. Black-Right-Pointing-Pointer General correlations are proposed for air side heat transfer and fluid flow parameters. - Abstract: Air side force convective heat transfer and flow characteristics of cross-flow mesochannel heat exchanger are investigated experimentally. A series of experiments representing 36 different operating conditions have been conducted on a finned mesochannel heat exchanger through the fully automated dynamic single-phase experimental facility which is capable of handling a wide variety of working fluids in air-to-liquid cross-flow orientation. The mesochannel heat exchanger is made of 15 aluminum slabs with arrays of wavy fins between slabs; 68 one millimeter circular diameter port located at each slab, and the air side frontal area of 304-mm Multiplication-Sign 304-mm. The ethylene glycol-water mixture as the working fluid in the liquid side was forced to flow through mesochannels maintaining constant inlet temperature and flow rate at 74 Degree-Sign C and 0.0345 kg/s respectively whereas the inlet flowing air into the arrays of wavy fins was changed at four different temperature levels from 28 Degree-Sign C to 43 Degree-Sign C. Frontal air velocity was altered in nine steps from 3 m/s to 11 m/s at each temperature level corresponding range of Reynolds number 752 < Re{sub a} < 3165. The air side heat transfer and flow characteristics of mesochannel heat exchanger were evaluated during air heating, and heat transfer and fluid flow correlations were derived accordingly. The air side Nusselt number (Nu{sub a}) and Colburn factor (j{sub a}) were found higher in comparison with other studies.

384

The effects of magnetic field on forced and free convection flow  

The effects of magnetic field and permeability of the porous medium on unsteady forced and free convection flow past an infinite vertical porous plate have been studied when the temperature of the plate is oscillating with time about a constant nonzero mean value and in the presence of temperature dependent heat source. The governing equations for the hydromagnetic fluid flow and the heat transfer are solved subject to the relevant boundary conditions. The perturbation technique is used to obtain expressions for velocity field, skin friction and Nusselt number. Also, the effects of magnetic parameter, heat source parameter, suction parameter and permeability of porous medium on velocity field, skin friction and Nusselt number are discussed.

385

Forced convection heat transfer from an equilateral triangular cylinder at low Reynolds numbers  

An unsteady two-dimensional numerical simulation is performed to investigate the forced convection heat transfer for flow past a long heated equilateral triangular cylinder in an unconfined medium for the low Reynolds number laminar regime. The Reynolds number considered in this study ranges from 50 to 250 with three different values of Prandtl number (Pr?=?0.71, 7 and 100). Fictitious confining boundaries are chosen on the lateral sides of the computational domain that makes the blockage ratio ??=?5?% in order to make the problem computationally feasible. An unstructured triangular mesh is used for the computational domain discretization and the simulation is carried out with the commercial CFD solver Fluent. The flow and heat transfer characteristics are analyzed with the streamline and ...

386

Forced convection heat transfer from an equilateral triangular cylinder at low Reynolds numbers  

An unsteady two-dimensional numerical simulation is performed to investigate the forced convection heat transfer for flow past a long heated equilateral triangular cylinder in an unconfined medium for the low Reynolds number laminar regime. The Reynolds number considered in this study ranges from 50 to 250 with three different values of Prandtl number ( Pr = 0.71, 7 and 100). Fictitious confining boundaries are chosen on the lateral sides of the computational domain that makes the blockage ratio ? = 5 % in order to make the problem computationally feasible. An unstructured triangular mesh is used for the computational domain discretization and the simulation is carried out with the commercial CFD solver Fluent. The flow and heat transfer characteristics are analyzed with the streamline and isotherm patterns at various Reynolds numbers. The dimensionless frequency of vortex shedding (Strouhal number), drag coefficient and Nusselt numbers are presented and discussed. The results obtained are in good agreement with the available results in the literature.

387

Mixed convection flow in vertical channel with boundary conditions of third kind in presence of heat source/sink  

The effects of viscous dissipation and heat source/sink on fully developed mixed convection for the laminar flow in a parallel-plate vertical channel are investigated. The plate exchanges heat with an external fluid. Both conditions of equal and different reference temperatures of the external fluid are considered. First, the simple cases of the negligible Brinkman number or the negligible Grashof number are solved analytically. Then, the combined effects of buoyancy forces and viscous dissipation in the presence of heat source/sink are analyzed by a perturbation series method valid for small values of the perturbation parameter. To relax the conditions on the perturbation parameter, the velocity and temperature fields are solved by using the Runge-Kutta fourth-order method with the shooti...

388

Convective heat transfer in an annular porous layer with centrifugal force field  

The present study deals with natural convection in an annular porous layer under the influence of a centrifugal force field. It is assumed that the outer boundary is heated by a constant heat flux, while the inner boundary is perfectly insulated. The problem is formulated in terms of Darcy-Boussinesq equations and solved using analytical and numerical techniques. An analytical solution for the flow and heat transfer variables, based on a concentric flow assumption, is obtained in terms of the Rayleigh number and the radius ratio. Finite amplitude results are verified by a numerical approach. Predicted thresholds in terms of critical Rayleigh numbers are verified by a linear stability analysis. Results obtained from the numerical approach indicate the existence of multiple solutions differing by the number of cells involved.

389

Forced convective heat transfer in porous medium of wire screen meshes  

The hydrodynamic and heat transfer characteristics of a porous medium consisting of 20 wire screen meshes are examined theoretically and experimentally. The hydrodynamic experiments are conducted for the range of Reynolds number based on mean velocity and wire diameter from 1.5 to 12. The Ergun's constants and thermal dispersion coefficients are calculated in this range. Nusselt number variation is determined in both thermally developing and fully developed flows by the help of forced convection heat transfer experiments conducted for the uniform heat flux boundary condition. Correlation functions of Nusselt number in the range of fully developed and thermally developing, and of thermal entrance length are obtained from experimental data. Solutions of momentum and energy equations simulating the experimental model are obtained numerically with variable porosity and the anticipated thermal dispersion coefficients. The thermal dispersion coefficients well-adjusted to the experimental data are determined by numerical solution of the energy equation.

390

Laminar mixed convection in a horizontal semicircular duct with axially nonuniform thermal boundary condition on the flat wall  

Mixed convection in a horizontal semicircular duct is studied numerically. An axially nonuniform temperature distribution is prescribed on the flat wall, with the midsection at a higher temperature than the end sections. The full three-dimensional Navier-Stokes equations coupled with the energy equation are solved using a control-volume method. Results are presented for two values of the Grashof number (Gr = 5 [times] 10[sup 3] and 5 [times] 10[sup 4]) and three values of the Reynolds number (Re = 10, 20, 50), for a gas with Prandtl number of 0.7. For flow conditions characterized by a large value of the parameter Gr/R[sup 2], the buoyancy forces give rise to both longitudinal and transverse rolls in the duct, which cause nonuniformities in the heat flux distribution. The secondary flow pattern and the heat flux distribution on the heated section of the flat wall are strongly dependent on the thermal boundary condition on the curved wall of the duct.

391

Enhancement of heat transfer in turbulent rectangular channel flow using thin inclined plates  

An experimental investigation has been conducted on the enhancement of forced-convection heat transfer using thin inclined plates in a rectangular channel. The channel constructed with these plates has diverging and converging parts alternating along the flow passages. Heat-transfer coefficients and pressure drops were measured for air flow at Reynolds numbers ranging from 1.2 [times] 10[sup 4] to 4.8 [times] 10[sup 4]. A performance comparison was made under the condition of constant pumping power. Large heat-transfer coefficient enhancement was achieved as the angle of inclination increased with accompanying large pressure drops. Channels with slits at the peak of the converging-diverging parts were tested in order to decrease the large pressure drops. When the slit was perpendicular to the mainstream direction, an improvement in performance was observed.

392

A geoneutrino experiment at Homestake  

A significant fraction of the 44TW of heat dissipation from the Earth's interior is believed to originate from the decays of terrestrial uranium and thorium. The only estimates of this radiogenic heat, which is the driving force for mantle convection, come from Earth models based on meteorites, and have large systematic errors. The detection of electron antineutrinos produced by these uranium and thorium decays would allow a more direct measure of the total uranium and thorium content, and hence radiogenic heat production in the Earth. We discuss the prospect of building an electron antineutrino detector approximately 700m^3 in size in the Homestake mine at the 4850' level. This would allow us to make a measurement of the total uranium and thorium content with a statistical error less than the systematic error from our current knowledge of neutrino oscillation parameters. It would also allow us to test the hypothesis of a naturally occurring nuclear reactor at the center of the Earth.

393

Numerical and experimental studies of molten pool formation during an interaction of a pulse laser (Nd:YAG) with a magnesium alloy  

A pulse laser (Nd:YAG) interaction with an AZ91 magnesium alloy has been experimentally and numerically studied. A two-dimensional (2D) axisymmetric model of a molten pool created by a laser heat source has been developed. The elaborated model solves the coupled equations of a laminar fluid flow and heat transfer to demonstrate the flow behavior in the pool. This model takes into account the coupled effects of buoyancy and Marangoni forces, the thermophysic variation properties with temperature, and the radiation and convection heat losses. Concerning numerical results, the molten temperature distribution, velocity field and molten shape were discussed. It was noted that the Marangoni flow significantly alters the characteristics of the thawing and solidifying processes, and makes the molt...

394

CURRENT STATUS OF INSTRUMENTATION FOR A FLUORIDE SALT HEAT TRANSPORT DEMONSTRATION LOOP  

A small forced convection liquid fluoride salt loop is under construction at Oak Ridge National Laboratory (ORNL) to examine the heat transfer behavior of FLiNaK in a heated pebble bed. Loop operation serves several purposes: (1) reestablishing the infrastructure necessary for fluoride salt loop testing, (2) demonstrating a wireless heating technique for simulating pebble type fuel, (3) demonstration of the integration of silicon carbide (SiC) and metallic components into a liquid salt loop, and (4) demonstration of the functionality of distinctive instrumentation required for liquid fluoride salts. Loop operation requires measurement of a broad set of process variables including temperature, flow, pressure, and level. Coolant chemistry measurements (as a corrosion indicator) and component health monitoring are also important for longer-term operation. Two dominating factors in sensor and instrument selection are the high operating temperature of the salt and its chemical environment.

395

Forced convection heat transfer from an equilateral triangular cylinder at low Reynolds numbers  

An unsteady two-dimensional numerical simulation is performed to investigate the forced convection heat transfer for flow past a long heated equilateral triangular cylinder in an unconfined medium for the low Reynolds number laminar regime. The Reynolds number considered in this study ranges from 50 to 250 with three different values of Prandtl number (Pr = 0.71, 7 and 100). Fictitious confining boundaries are chosen on the lateral sides of the computational domain that makes the blockage ratio ? = 5 % in order to make the problem computationally feasible. An unstructured triangular mesh is used for the computational domain discretization and the simulation is carried out with the commercial CFD solver Fluent. The flow and heat transfer characteristics are analyzed with the streamline and ...

396

CFD Study of Effects of Module Geometry on Forced Convection in a Channel with Non-Conducting Fins and Flow Pulsation  

Abstract CFD simulations were carried out to investigate the effects of the module geometry on forced convection in a rectangular channel containing series of regularly spaced non-conducting baffles with flow oscillation. The simulations were performed at constant wall temperature. Steady-flow Reynolds numbers Re in the range of 200 and 600 were studied. The results of the CFD simulations show that, for the effect fin spacing to be significant on heat transfer enhancement in finned system with oscillating flow, the oscillating flow velocity must be higher than the mean flow velocity. Superposition of oscillation yields increasing heat transfer performance with increasing fin height. Fin geometry with pyramidal shape yields highest performance in terms of the heat transfer effectiveness.

397

An experimental investigation into the deployment of 3-D, finned wing and shape memory alloy vortex generators in a forced air convection heat pipe fin stack  

Forced air convection heat pipe cooling systems play an essential role in the thermal management of electronic and power electronic devices such as microprocessors and IGBT's (Integrated Gate Bipolar Transistors). With increasing heat dissipation from these devices, novel methods of improving the thermal performance of fin stacks attached to the heat pipe condenser section are required. The current work investigates the use of a wing type surface protrusions in the form of 3-D delta wing tabs adhered to the fin surface, thin wings punched-out of the fin material and TiNi shape memory alloy delta wings which changed their angles of attack based on the fin surface temperature. The longitudinal vortices generated from the wing designs induce secondary mixing of the cooler free stream air ente...

398

CFD analysis of tube-fin 'no-frost' evaporators  

Abstract in english The purpose of this paper is to assess some aspects of the design of evaporators for household refrigeration appliances using Computational Fluid Dynamics (CFD). The evaporators under study are tube-fin 'no-frost' heat exchangers with forced convection on the air-side and a staggered tube configuration. The calculation methodology was verified against experimental data for the heat transfer rate, thermal conductance and pressure drop obtained for two evaporators with diff (more) erent geometries. The average errors of the heat transfer rate, thermal conductance and pressure drop were 10%, 3% and 11%, respectively. The CFD model was then used to assess the influence of geometric parameters such as the presence and position of the electrical heater coil relative to the tubes, the fin configuration and the width of the by-pass clearance between the outer edge of the fins and the tube bank for conditions typical of the design of household refrigeration appliances

399

Effect of uncertainties in physical properties on forced convection heat transfer with nanofluids  

Nanofluids are considered to offer important advantages over conventional heat transfer fluids. However, at this early stage of their development, their thermophysical properties are not known precisely. As a result, the assessment of their true potential is difficult. This fact is illustrated by analyzing their thermohydraulic performance for both laminar and turbulent fully developed forced convection in a tube with uniform wall heat flux. Two different models from the literature are used to express these properties in terms of particle loading and they lead to very different qualitative and quantitative results in two types of problems: replacement of a simple fluid by a nanofluid in a given installation and design of an elementary heat transfer installation for a simple fluid or a nanofluid.

400

CHF enhancement of a forced convective flow boiling in nanofluid  

You et al. showed that nanofluids containing only 0.005 g/L of Al{sub 2}O{sub 3} nanoparticles cause a dramatic increase (on the order of 200%) in the critical heat flux (CFH) during pool boiling. There has been much research effort directed at CHF enhancement using nanofluids. The mechanism of CHF enhancement in nanofluid pool boiling is the result of nanoparticle deposition on the heating surface, which changes the surface characteristics. This study focuses on the possible CHF enhancement caused by nanofluids during forced convective flow boiling because of the importance of flow boiling conditions in various practical heat transfer applications. The nanofluid used in this study was a very low concentration of Al{sub 2}O{sub 3} (0.01 % vol) dispersed ultrasonically in water.

 
 
 
 
401

Experimental-theoretical analysis of laminar internal forced convection with nanofluids  

This work reports fundamental experimental-theoretical research related to heat transfer enhancement in laminar channel flow with nanofluids, which are essentially modifications of the base fluid with the dispersion of metal oxide nanoparticles. The theoretical work was performed by making use of mixed symbolic-numerical computation (Mathematica 7.0 platform) and a hybrid numerical-analytical methodology (Generalized Integral Transform Technique - GITT) in accurately handling the governing partial differential equations for the heat and fluid flow problem formulation with temperature dependency in all the thermophysical properties. Experimental work was also undertaken based on a thermohydraulic circuit built for this purpose, and sample results are presented to verify the proposed model. The aim is to illustrate detailed modeling and robust simulation attempting to reach an explanation of the controversial heat transfer enhancement observed in laminar forced convection with nanofluids. (author)

402

Forced convection heat transfer and flow characteristics in laminar to turbulent transition region in rectangular channel  

Experimental investigations are performed on the forced convection heat transfer and friction characteristics in laminar to turbulent transition region in a vertical heated rectangular channel. The experiment is designed for analyzing the effect of Prandtl number on the heat transfer and friction characteristics in the transition region. Seven groups of experiments are carried out within the range of Reynolds number from 1000 to 2x104, and the Prandtl number in each group is 2.10, 2.34, 2.51, 2.69, 2.93, 3.18, and 3.45, respectively. The results show that the lower and the upper critical Reynolds number of transition region increase with the decrease of Prandtl number. However, the friction factors increase with increasing Prandtl number for a fixed Reynolds number in the transition region...

403

Hydrography and biogeochemistry of the north western Bay of Bengal and the north eastern Arabian Sea during winter monsoon  

The north eastern Arabian Sea and the north western Bay of Bengal within the Indian exclusive economic zone were explored for their environmental characteristics during the winter monsoons of 2000 and 2001 respectively. The two regions were found to respond paradoxically to comparable intensities of the atmospheric forcing. There is an asymmetry in the net heat exchange of these two basins with atmosphere because of the varying thickness of barrier layer. During winter, the convective mixing in the Arabian Sea is driven by net heat loss from the ocean, whereas the Bay of Bengal does not contribute to such large heat loss to the atmosphere. It appears that the subduction of high saline Arabian Sea water mass is the mechanism behind the formation of a barrier layer in the northeast Arabian S...

404

Transient flow and heat transfer phenomena in inclined wavy films  

A finite-element numerical scheme is used to study rigorously the flow of an inclined liquid film and the heat transfer from the constant-temperature wall. Regular inlet disturbances are predicted to evolve into periodic or solitary waves depending on the frequency of the forcing. At very low disturbance frequencies parasitic crests appear and the regularity of the wave-train is lost. The effect of a solitary wave-train on heat transfer from the wall is studied, and it is predicted that a stationary temperature distribution develops with periodic flux variation that follows the waves. The thinning of the substrate between successive humps combines with the effect of convection at the crest and tail of the solitary humps to produce heat transfer enhancement significantly above the conduction limit. (authors)

405

THORAX pretest prediction of a sodium-boiling transient in a 19-pin simulated LMFBR driver bundle  

Experiments will be conducted in the Thermal-Hydraulic Out-of-Reactor Safety-Shutdown Heat Removal System (THORS-SHRS) Assembly 1 loop at Oak Ridge National Laboratory (ORNL) to model the behavior of a reactor during degraded decay heat removal conditions. The test section is to consist of two parallel 19-pin electrically-heated driver bundles, typical of U.S. Large Developmental Plant (LDP) Liquid Metal Fast Breeder Reactor (LMFBR) design. Analysis of these experiments will include using THORAX, a two-dimensional boiling model which assumes an equilibrium mixture two-phase flow (with slip). A THORAX prediction is presented for a single-bundle forced convection boiling-to-dryout transient at 15.8 kW/pin.

406

Numerical investigation of natural convection in a rectangular enclosure due to partial heating and cooling at vertical walls  

A comprehensive numerical investigation on the natural convection in a rectangular enclosure is presented. The flow is induced due to the constant partial heating at lower half of the left vertical wall and partial cooling at upper half of the right vertical wall along with rest walls are adiabatic. In this investigation the Special attention is given to understand the effect of aspect ratio and heat source intensity i.e. Rayleigh number, Ra, on the fluid flow configuration as well as on the local and average heat transfer rates. The range of Rayleigh (Ra) and aspect ratio (A) is taken [103, 106] and [0.5, 4] respectively. The results are presented in terms of stream function (?), temperature (?) and heat transfer rates (local Nusselt numbers NuL, and average Nusselt numbers Nu). The numerical experiments show that increasing of Ra implies the enhancement of thermal buoyancy force, which in turn increases the thermal convection in the cavity. As a result, the local as well as average heat transfer rate is expected to increase. The local transfer rate (NuL) is increases in the small region near the left vertical wall of the left wall of the cavity and after that it is decreases in the middle portion of heated region. And, it start to increase near to the middle point of left wall. It is also observed that the local heat transfer is increases as increases the aspect ratio. The average heat transfer rate (Nu) is increases as the aspect ratio A increases from 0.5 to 1 and beyond that it is decreases smoothly. It is also found that the heat transfer rate attains its maximum value at aspect ratio one.

407

Heating 7.2 user`s manual  

HEATING is a general-purpose conduction heat transfer program written in Fortran 77. HEATING can solve steady-state and/or transient heat conduction problems in one-, two-, or three-dimensional Cartesian, cylindrical, or spherical coordinates. A model may include multiple materials, and the thermal conductivity, density, and specific heat of each material may be both time- and temperature-dependent. The thermal conductivity may also be anisotropic. Materials may undergo change of phase. Thermal properties of materials may be input or may be extracted from a material properties library. Heat-generation rates may be dependent on time, temperature, and position, and boundary temperatures may be time- and position-dependent. The boundary conditions, which may be surface-to-environment or surface-to-surface, may be specified temperatures or any combination of prescribed heat flux, forced convection, natural convection, and radiation. The boundary condition parameters may be time- and/or temperature-dependent. General gray-body radiation problems may be modeled with user-defined factors for radiant exchange. The mesh spacing may be variable along each axis. HEATING uses a runtime memory allocation scheme to avoid having to recompile to match memory requirements for each specific problem. HEATING utilizes free-form input. Three steady-state solution techniques are available: point-successive-overrelaxation iterative method with extrapolation, direct-solution, and conjugate gradient. Transient problems may be solved using any one of several finite-difference schemes: Crank-Nicolson implicit, Classical Implicit Procedure (CIP), Classical Explicit Procedure (CEP), or Levy explicit method. The solution of the system of equations arising from the implicit techniques is accomplished by point-successive-overrelaxation iteration and includes procedures to estimate the optimum acceleration parameter.

408

TOUGH. Unsaturated Groundwater & Heat Transport Simulation  

TOUGH (Transport of Unsaturated Groundwater and Heat) is a multi-dimensional numerical model for simulating the coupled transport of water, vapor, air, and heat in porous and fractured media. The program provides options for specifying injection or withdrawal of heat and fluids. Although primarily designed for studies of high-level nuclear waste isolation in partially saturated geological media, it should also be useful for a wider range of problems in heat and moisture transfer, and in the drying of porous materials. For example, geothermal reservoir simulation problems can be handled simply by setting the air mass function equal to zero on input. The TOUGH simulator was developed for problems involving strongly heat-driven flow. To describe these phenomena a multi-phase approach to fluid and heat flow is used, which fully accounts for the movement of gaseous and liquid phases, their transport of latent and sensible heat, and phase transitions between liquid and vapor. TOUGH takes account of fluid flow in both liquid and gaseous phases occurring under pressure, viscous, and gravity forces according to Darcy`s law. Interference between the phases is represented by means of relative permeability functions. The code handles binary, but not Knudsen, diffusion in the gas phase and capillary and phase adsorption effects for the liquid phase. Heat transport occurs by means of conduction with thermal conductivity dependent on water saturation, convection, and binary diffusion, which includes both sensible and latent heat.

409

TOUGH  

TOUGH (Transport of Unsaturated Groundwater and Heat) is a multi-dimensional numerical model for simulating the coupled transport of water, vapor, air, and heat in porous and fractured media. The program provides options for specifying injection or withdrawal of heat and fluids. Although primarily designed for studies of high-level nuclear waste isolation in partially saturated geological media, it should also be useful for a wider range of problems in heat and moisture transfer, and in the drying of porous materials. For example, geothermal reservoir simulation problems can be handled simply by setting the air mass function equal to zero on input. The TOUGH simulator was developed for problems involving strongly heat-driven flow. To describe these phenomena a multi-phase approach to fluid and heat flow is used, which fully accounts for the movement of gaseous and liquid phases, their transport of latent and sensible heat, and phase transitions between liquid and vapor. TOUGH takes account of fluid flow in both liquid and gaseous phases occurring under pressure, viscous, and gravity forces according to Darcy's law. Interference between the phases is represented by means of relative permeability functions. The code handles binary, but not Knudsen, diffusion in the gas phase and capillary and phase adsorption effects for the liquid phase. Heat transport occurs by means of conduction with thermal conductivity dependent on water saturation, convection, and binary diffusion, which includes both sensible and latent heat.

410

Style and dynamics of thermal convection in the superheated Sudbury melt sheet: Implications for the history of crystallization and deposition of sulfide  

The Sudbury Igneous Complex (SIC) of Ontario is the remnant of a voluminous (30,000 km3) melt sheet produced by a massive (12 km) meteorite impact 1.85 Ga. Within a few minutes of impact a 30 x 90 km transient cavity formed reaching to the Moho, which immediately relaxed within a few minutes to form a large, shallow (200 x 5 km) crater containing 3 km of superheated (1700 C) magma covered by 2 km of fallback breccia. The initial magma was the superheated equivalent of impact breccia, a viscous emulsion consisting of blobs of compositionally distinct parcels of the crustal target rocks. This emulsion quickly (10s of yrs) separated into two superposed layers: an upper 2 km thick silicic layer and a lower 1 km thick noritic layer. Although the vertical streaming associated with emulsion separation initially stifled thermal convection, once the layers were established, vigorous thermal convection systematically dispensed the superheat over a period of hundreds to thousands of years. This work investigates this period of convective cool-down using 2D finite element models. In addition, inversion techniques are used in an attempt to constrain the location of ore deposits. In the model, the two viscous layers are embedded in a much larger continental crust. The initial magma is isothermal and the thermal field for the crust is set at the far margins to match typical unmolested continental crust. The base of the crater holding the melt contains undulations representing the well-known embayments in the SIC footwall or floor, which are locations of sulfide ore deposition. Computations are initialized using moderate super heat such that the governing Rayleigh number (Ra) is large, but computationally manageable. Convection sets in essentially instantaneously with little discernable structure. With time convection takes the form of equi-dimensional Rayleigh-Benard style rolls that also disintegrate with protracted cooling. The mean velocity of convection in each layer follows the usual scaling law with an exponent close to 1/3. The period of cool-down to the magma liquidus is more rapid than expected as the strong effects of crystallization in stifling convection is only approximated in the model. For some sets of parameters, the convective upwellings are pinned over the embayments, forcing the pattern of convection to remain fixed for the duration of the laminar convective phase of cooling. This has important implications for the chemical evolution of the melt sheet. First, although convection will thoroughly mix the sheet locally, certain compositional distinctiveness can exist between different sectors of the melt sheet. Second, immiscible sulfide blebs appearing in the superheated magma will be entrained and concentrated in the convective upwellings. Here these suspended blebs will progressively absorb Ni-Cu base metals from the magma, increase in size and density and, as the flow is no longer able to support them, steadily rain downward into the embayments forming ore deposits in piles of residual footwall breccia. This process is modeled using velocities output from the above thermal models together with a nucleation, growth and settling model for the blebs. Inversion algorithms using Bleb Size Distributions (BSDs) are used to constrain the locations of embayments (hence constraints on ore deposition), as well as information on the convective history. Strong non-linearities in the forward model generate difficulties in the inversion.

411

Seasonal migration of the ITCZ and implications for aerosol radiative impact  

An axisymmetric tropical circulation model is constructed and shown to exhibit an abrupt seasonal migration of the Intertropical Convergence Zone (ITCZ) between the two hemispheres, similar to observations. The model is similar in dynamical behavior to previous axisymmetric circulation models in which absolute angular momentum is approximately conserved in the upper branch of the Hadley Circulation (HC) in the absence of eddies. However, the model also includes prognostic sea surface temperature (SST), and a more physical representation of diabatic heating, where only solar heating at the top of the atmosphere (TOA) is externally prescribed. The ITCZ is prescribed to coincide with the warmest SST or else the minimum column moist static stability. It is shown that the angular momentum conserving circulation produces a small temperature gradient within the circulation and allows the ITCZ to move off the equator with seasonally varying solar forcing. It is found that there are two factors substantially affecting the abrupt transition of the ITCZ: the nonlinear meridional advection of angular momentum by the circulation and ocean thermal inertia. Angular momentum is well-mixed by nonlinear dynamics, resulting in minimum atmospheric temperature at the equator, and a similar equatorial minimum in SST. This inhibits convection over the equator, while favoring a rapid seasonal transition of the ITCZ between the warmer surface water on either side of the equator. The abrupt transition of the ITCZ also occurs with the inclusion of prognostic boundary layer moisture, although the transition is more gradual as a result of inertia introduced by moisture. The axisymmetric circulation model with prognostic boundary layer (BL) moisture is shown to have multiple equilibria whereby the ITCZ can have more than one locations with the same solar heating depending upon the initial condition. The off-equatorial equilibrium is found to be associated with a large BL moisture gradient between the convecting and subsiding regions, which is maintained by the large-scale circulation, which converges moisture over the ITCZ and dries other areas via large-scale subsidence. The emergence of the multiple equilibria is determined by the moisture and thermal inertia of the atmosphere and ocean system. The result provides a possible explanation for the observed persistence of the eastern Pacific ITCZ within the northern hemisphere rather than the southern hemisphere, assuming that the axisymmetric model is appropriate for regional study. The moist axisymmetric model is used to study the radiative impact of aerosols upon the circulation. The total radiative forcing is separated into the TOA forcing and atmospheric adiabatic heating (denoted 'ATM'). It is shown that the sum of the response to these two forcings is approximately the response to the total forcing. The response of the tropical circulation to the TOA forcing is shown to be much larger than to the ATM forcing. In response to negative aerosol TOA forcing, evaporation decreases more than required to offset the total forcing at the surface, resulting in an increase in the sensible heat flux and net longwave radiation at the surface, thus changing the partitioning among the surface fluxes. It is demonstrated that evaporation depends upon not only the air-sea surface temperature difference, but also the surface air temperature, which is related to the TOA forcing. Thus how the surface energy balance responds to surface forcing depends additionally upon how the TOA forcing changes the partitioning among the surface fluxes. As a consequence, precipitation is reduced much more by the TOA forcing than by the ATM forcing, even though surface radiative forcing is identical in both experiments. In addition, less precipitation results in a weaker meridional circulation, which lessens the moisture gradient between the ITCZ and the subsiding region and favors a shift of the ITCZ toward the equator, which is apparent with a magnitude of dust aerosol forcing associated with the Last Glacial Maximum.

412

500 Watt Diesel Fueled TPV Portable Power Supply  

A test-bed 500 watt diesel fueled thermophotovoltaic (TPV) portable power supply is described. The goal of the design is a compact, rugged field portable unit weighing less than 15 pounds without fuel. The conversion efficiency goal is set at 15% fuel energy to electric energy delivered to an external load at 24 volts. A burner/recuperator system has been developed to meet the objectives of high combustion air preheat temperatures with a compact heat exchanger, low excess air operation, and high convective heat transfer rates to the silicon carbide emitter surface. The burner incorporates a air blast atomizer with 100% of the combustion air passing through the nozzle. Designed firing rate of 2900 watts at 0.07 gallons of oil per hour. This incorporates a single air supply dc motor/fan set and avoids the need for a system air compressor. The recuperator consists of three annular, concentric laminar flow passages. Heat from the combustion of the diesel fuel is both radiantly and convectively coupled to the inside wall of a cylindrical silicon carbide emitter. The outer wall of the emitter then radiates blackbody energy at the design temperature of 1400°C. The cylindrical emitter is enclosed in a quartz envelope that separates it from the photovoltaic (PV) cells. Spectral control is accomplished by a resonant mesh IR band-pass filter placed between the emitter and the PV array. The narrow band of energy transmitted by the filter is intercepted and converted to electricity by an array of GaSb PV cells. The array consists of 216 1-cm × 1-cm GaSb cells arranged into series and parallel arrays. An array of heat pipes couple the PV cell arrays to a heat exchanger which is cooled by forced air convection. A brief status of the key TPV technologies is presented followed by data characterizing the performance of the 500 watt TPV system.