Numerical analysis of natural convection in porous cavities with partial convective cooling conditions

Journal of Porous Media

Volumn 12, Issue 11, 2009, Pages 1083-1100

  Pakdee, W ^a   Rattanadecho, P ^a  

^a THAMMASAT UNIVERSITY   (Thailand)

Author keywords

[No Author keywords available]

Indexed keywords

A-THERMAL; BUOYANCY FORCES; CONVECTIVE COOLING; CONVECTIVE TRANSPORT; COOLING CONDITIONS; DARCY MODEL; DARCY NUMBER; DENSITY GRADIENTS; FINITE DIFFERENCE EQUATIONS; FLOW CIRCULATION; FLOW DIRECTION; FLUID-SATURATED POROUS MEDIUM; HEATING CONDITIONS; LATERAL TEMPERATURE GRADIENTS; POROUS CAVITIES; POROUS MEDIUM; RAYLEIGH NUMBER; RECTANGULAR CAVITY; SQUARE ENCLOSURES; SURFACE CONDITIONS; SYMMETRICAL VORTEX; TOP SURFACE; TRANSIENT NATURAL CONVECTION; TWO-DIMENSIONAL FLOW; UNSTEADY EFFECTS;

BUOYANCY; COOLING; DIFFERENCE EQUATIONS; HEAT EXCHANGERS; NATURAL CONVECTION; POROUS MATERIALS; TWO DIMENSIONAL; VORTEX FLOW;

BOUNDARY CONDITIONS;

EID: 70350044677     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v12.i11.50     Document Type: Article

References (35)

1. Al-Amiri, A. M., Analysis of Momentum and Energy Transfer in a Lid-Driven Cavity Filled with a Porous Medium, Int. J. Heat Mass Transfer, vol.43, pp. 3513-3527, 2000.
2. Al-Amiri, A. M., Natural Convection in Porous Enclosures: The Application of the Two-Energy Equation Model, Numer. Heat Transfer, Part A, vol.41, pp. 817-834, 2002.
3. Aydin, O., Determination of Optimum Air-Layer Thickness in Double-Pane Windows, Energy Build., vol.32, pp. 303-308, 2000.
4. Basak, T., Roy, S., Paul, T., and Pop, I., Natural Convection in a Square Cavity Filled with Porous Medium: Effects of Various Thermal Boundary Conditions, Int. J. Heat Mass Transfer, vol.49, pp. 1430-1441, 2006. (Pubitemid 43267683)
5. Beckermann, C., Viskanta, R., and Ramadhyani, S., A Numerical Study of Non-Darcian Natural Convection in a Vertical Enclosure Filled with a Porous Medium, Numer. Heat Transfer, vol.10, pp. 557-570, 1986.
6. Bera, P., Eswaran, V., and Singh, P., Numerical Study of Heat and Mass Transfer in an Anisotropic Porous Enclosure Due to Constant Heating and Cooling, Numer. Heat Transfer Part A, vol.34, pp. 887-905, 1998.
7. Bera, P., and Khalili, A., Double-Diffusive Natural Convection in an Anisotropic Porous Cavity with Opposing Buoyancy Forces: Multi-Solutions and Oscillations, Int. J. Heat Mass Transfer, vol.45, pp. 3205-3217, 2002.
8. Bergman, T. L., Incropera, F. P., and Viskanta, R., Correlation of Mixed Layer Growth in Double-Diffusive, Salt-Stratified System Heated from Below, J. Heat Transfer, vol.108, pp. 206-211, 1986.
9. Bilgen, E., and Mbaye, M., Be'nard Cells in Fluid- Saturated Porous Enclosures with Lateral Cooling, Int. J. Heat Fluid Flow, vol.22, pp. 561-570, 2001.
10. Brinkmann, H. C., On the Permeability of Media Consisting of Closely Packed Porous Particles, Appl. Sci. Res., vol.1, pp. 81-86, 1947.
11. Bradean, R., Ingham, D. B., Heggs, P. J., and Pop, I., The Unsteady Penetration of Free Convection Flows Caused by Heating and Cooling Flat Surfaces in Porous Media, Int. J. Heat Mass Transfer, vol.40, pp. 665-687, 1997.
12. Cheng, P., Heat Transfer in Geothermal Systems, Adv. Heat Transfer, vol.4, pp. 1-105, 1978.
13. Desai, C. P., Vafai, K., and Keyhani, M., On the Natural- Convection in a Cavity with a Cooled Top Wall and Multiple Protruding Heaters, J. Electron. Packag., vol.117, pp. 34-45, 1995.
14. El-Refaee, M. M., Elsayed, M. M., Al-Najem, N. M., and Noor, A. A., Natural Convection in Partially Cooled Tilted Cavities, Int. J. Numer. Methods, vol.28, pp. 477-499, 1998.
15. Imberger, J., and Hamblin, P. F., Dynamics of Lakes, Reservoirs, and Cooling Ponds, Ann. Rev. Fluid Mechanics, vol.14, pp. 153-187, 1982.
16. Khanafer, K. M., and Chamkha, A. J., Mixed Convection Flow in a Lid-Driven Enclosure Filled with a Fluid- Saturated Porous Medium, Int. J. Heat Mass Transfer, vol.42, pp. 2465-2481, 1998.
17. Khanafer, K., and Vafai, K., Double-Diffusive Mixed Convection in a Lid-Driven Enclosure Filled with a Fluid- Saturated Porous Medium, Numer. Heat Transfer, Part A, vol.42, pp. 465-486, 2002.
18. Kim, S. J., Kim, D., and Lee, D. Y., On the Local Thermal Equilibrium in Microchannel Heat Sinks, Int. J. Heat Mass Transfer, vol.43, pp. 1735-1748, 2000.
19. Lauriat, G., and Prasad, V., Natural Convection in a Vertical Porous Cavity: A Numerical Study for Brinkmann- Extended Darcy Formulation, ASME J. Heat Transfer, vol.109, pp. 295-320, 1987.
20. Lauriat, G., and Prasad, V., Non-Darcian Effects on Natural Convection in a Vertical Porous Enclosure, Int. J. Heat Mass Transfer, vol.32, pp. 2135-2148, 1989.
21. Marafie, A., and Vafai, K., Analysis of Non-Darcian Effects on Temperature Differentials in Porous Media, Int. J. Heat Mass Transfer, vol.44, pp. 4401-4411, 2001.
22. Mohammad, A. A., Nonequilibrium Natural Convection in a Differentially Heated Cavity Filled with a Saturated Porous Matrix, J. Heat Transfer, vol.122, pp. 380- 384, 2000.
23. Nield, D. A., and Bejan, A., Convection in Porous Media, New York: Springer, 1999.
24. Nithiarasu, P., Seetharamu, K. N., and Sundararajan, T., Natural Convective Heat Transfer in a Fluid Saturated Variable Porosity Medium, Int. J. Heat Mass Transfer, vol.40, pp. 3955-3967, 1997.
25. Nithiarasu, P., Seetharamu, K. N., and Sundararajan, T., Numerical Investigation of Buoyancy Driven Flow in a Fluid Saturated Non-Darcian Porous Medium, Int. J. Heat Mass Transfer, vol.42, pp. 1205-1215, 1998.
26. Oosthuizen, P. H., and Patrick, H., Natural Convection in an Inclined Square Enclosure Partly Filled with a Porous Medium and with a Partially Heated Wall, American Society Mechanical Engineers, Heat Transfer Division, HTD 302, pp. 29-42, 1995.
27. Oztop, H. F., Natural Convection in Partially Cooled and Inclined Porous Rectangular Enclosure, Int. J. Thermal Sci., vol.46, pp. 149-156, 2007.
28. Pakdee, W., and Rattanadecho, P., Unsteady Effects on Natural Convective Heat Transfer through Porous Media in Cavity Due to Top Surface Partial Convection, Appl. Thermal Eng., vol.26, pp. 2316-2326, 2006.
29. Pop, I., and Ingham, D. B., Convective Heat Transfer, Mathematical and Computational Modeling of Viscous Fluids and Porous Media, Oxford: Pergamon, 2001.
30. Ratanadecho, P., Aoki, K., and Akahori, M., A Numerical and Experimental Investigation of the Modeling of Microwave Drying Using a Rectangular Wave Guide, J. Drying Technol., vol.19, pp. 2209-2234, 2001. (Pubitemid 34029943)
31. Ratanadecho, P., Aoki, K., and Akahori, M., Influence of Irradiation Time, Particle Sizes and Initial Moisture Content During Microwave Drying of Multi-Layered Capillary Porous Materials, ASME J. Heat Transfer, vol.124, pp. 151-161.
32. Wakashima, S., and Saitoh, T. S., Benchmark Solutions for Natural Convection in a Cubic Cavity Using the High-Order Time-Space Method, Int. J. Heat Mass Transfer, vol.47, pp. 853-864, 2004.
33. Stanish, M. A., Schager, G. S., and Kayihan, F., A Mathematical Model of Drying for Hygroscopic Porous Media, AIChE J., vol.32, pp. 1301-1311, 1986.
34. Tong, T. W., and Subramanian, E., A Boundary-Layer Analysis for Natural Convection in Vertical Porous Enclosures, Use of the Brinkman-Extended Darcy Model, ASME J. Heat Transfer, vol.28, pp. 563-571, 1985.
35. Vafai, K., Handbook of Porous Media, New York: Marcel Dekker, 2000.