Natural convection in a porous cavity saturated with a non-Newtonian fluid

Journal of Thermophysics and Heat Transfer

Volumn 10, Issue 4, 1996, Pages 640-651

  Getachew, D ^a,b,c   Minkowycz, W J ^a,b   Poulikakos, D ^a,b  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

^b Department of Mechanical Engineering ^*

^c CHICAGO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; FLOW OF FLUIDS; ISOTHERMS; MATHEMATICAL MODELS; NON NEWTONIAN LIQUIDS; NUMERICAL METHODS; POROUS MATERIALS; TEMPERATURE; TEMPERATURE DISTRIBUTION;

DARCY EQUATIONS; ISOTHERMAL BOUNDARY CONDITIONS; POROUS CAVITY;

NATURAL CONVECTION;

HEAT TRANSFER; MODELLING-MATHEMATICAL; NON NEWTONIAN FLUIDS; POROUS MEDIA-FLOW THROUGH;

EID: 0030266351     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/3.841     Document Type: Article

References (36)

1. Cheng, P., "Heat Transfer in Geothermal System," Advances in Heat Transfer, Vol. 14, Academic, New York, 1978, pp. 1-100.
2. Chan, B. K. C., Ivey, C. M., and Barry, J. M., "Natural Convection in Enclosed Porous Media with Rectangular Boundary," Journal of Heat Transfer, Vol. 81, 1970, pp. 21-26.
3. Holst, P. H., and Aziz, K., "A Theoretical and Experimental Study of Natural Convection in a Confined Porous Medium," Canadian Journal of Chemical Engineering, Vol. 150, 1972, pp. 232-241.
4. Barkvall, C. G., "Natural Convective Heat Transfer in Insulated Structures," Division of Building Technology, Lund Inst. of Technology, Rept. 38, Lund, Sweden, 1972.
5. Hickox, C. E., and Gartling, D. K., "A Numerical Study of Natural Convection in a Horizontal Porous Layer Subjected to an End-to-End Temperature Difference," Journal of Heat Transfer, Vol. 26, 1983, pp. 701-708.
6. Prasad, V., and Kulacki, F. A., "Convective Heat Transfer in a Rectangular Porous Cavity-Effect of Aspect Ratio on Flow Structure and Heat Transfer," Journal of Heat Transfer, Vol. 106, 1984, pp. 158-165.
7. Weber, J. E., "The Boundary-Layer Regime for Convection in a Vertical Porous Layer," International Journal of Heat and Mass Transfer, Vol. 18, 1975, pp. 569-573.
8. Walker, K. L., and Homsy, G. M., "Convection in Porous Cavity," Journal of Fluid Mechanics, Vol. 87, 1979, pp. 449-474.
9. Nield, D. A., and Bejan, A., Convection in Porous Media, Springer-Verlag, New York, 1992.
10. Schneider, K. J., "Investigation on the Influence of Free Thermal Convection on Heat Transfer Through Granular Material," Proceedings of the 11th International Congress of Refrigeration, Pergamon, Oxford, England, UK, 1963, pp. 247-253 (Paper 11-14).
11. Bories, S. A., and Combarnous, M. A., "Natural Convection in a Sloppy Porous Layer," Journal of Fluid Mechanics, Vol. 57, 1973, pp. 63-79.
12. Prasad, V., and Tuntomo, A., "Inertial Effects on Natural Convection in a Vertical Porous Cavity," Numerical Heat Transfer, Vol. 11, 1987, pp. 295-320.
13. Hong, J. T., and Tien, C. L., "Analysis of Thermal Dispersion Effect on Vertical-Plate Natural Convection in Porous Media," International Journal of Heat and Mass Transfer, Vol. 30, 1987, pp. 143-150.
14. Poulikakos, D., and Bejan, A., "Unsteady Natural Convection on a Porous Layer," Physics of Fluids, Vol. 26, 1983, pp. 1183-1191.
15. Tong, T. W., and Subramanian, E., "A Boundary-Layer Analysis for Natural Convection in Vertical Porous Enclosures - Use of the Brinkman-Extended Darcy Model," International Journal of Heat and Mass Transfer, Vol. 28, 1985, pp. 563-571.
16. Lauriat, G., and Prasad, V., "Natural Convection in a Vertical Porous Cavity; a Numerical Study for Brinkman Extended Darcy Formulation," Journal of Heat Transfer, Vol. 109, 1987, pp. 688-696.
17. Beckermann, C., Ramadhyani, S., and Viskanta, R., "Natural Convection Flow and Heat Transfer Between a Fluid Layer and a Porous Layer Inside a Rectangular Enclosure," Journal of Heat Transfer, Vol. 109, 1987, pp. 363-370.
18. Lauriat, G., and Prasad, V., "Non-Darcian Effects on Natural Convection in a Vertical Porous Enclosure," International Journal of Heat and Mass Transfer, Vol. 32, 1989, pp. 2135-2148.
19. Nield, D. A., "The Limitation of the Brinkman-Forchheimer Equation in Modeling Flow in a Saturated Porous Medium and at an Interface," International Journal of Heat and Fluid Flow, Vol. 12, 1970, pp. 269-272.
20. Bian, W., Vasseur, P., and Bilgen, E., "Boundary-Layer Analysis for Natural Convection in a Vertical Porous Layer Field with a Non-Newtonian Fluid," International Journal of Heat and Fluid Flow, Vol. 15, 1994, pp. 384-391.
21. Bian, W., Vasseur, P., and Bilgen, E., "Natural Convection of Non-Newtonian Fluids in an Inclined Porous Layer," Chemical Engineering Communication, Vol. 1129, 1994, pp. 79-97.
22. Chen, H. T., and Chen, C. K., "Free Convection Flow of Non-Newtonian Fluids Along a Vertical Plate Embedded in a Porous Medium," Journal of Heat Transfer, Vol. 110, 1988, pp. 257-260.
23. Chen, H. T., and Chen, C. K., "Natural Convection of a Non-Newtonian Fluid About a Horizontal Cylinder and a Sphere in a Porous Medium," International Communications in Heat and Mass Transfer, Vol. 15, 1988, pp. 605-614.
24. Chen, H. T., and Chen, C. K., "Natural Convection of Non-Newtonian Fluid About a Horizontal Surface in a Porous Medium," Journal of Energy Resources Technology, Vol. 109, 1987, pp. 119-123.
25. Nakayama, A., "Integral Method for Forced Convection Heat Transfer in Power Law Non-Newtonian Fluids," Encyclopedia of Fluid Mechanics, Vol. 1, Gulf Publishing Co., Houston, TX, 1986, pp. 305-339.
26. Nakayama, A., and Koyama, H., "Buoyancy-Induced Flow of Non-Newtonian Fluid over a Non-Isothermal Body of Arbitrary Shape in a Fluid-Saturated Porous Medium," Applied Science Research, Vol. 48, 1991, pp. 55-70.
27. Nakayama, A., "Free Convection from a Horizontal Line Heat Source in a Power-Law Fluid Saturated Porous Medium," International Journal of Heat and Fluid Flow, Vol. 14, 1993, pp. 279-282.
28. Pop, I., and Nakayama, A., "Conjugate Free Convection from Long Vertical Plate Fins in a Non-Newtonian Fluid Saturated Porous Medium," International Communications in Heat and Mass Transfer, Vol. 21, 1994, pp. 297-305.
29. Shanoy, A., "Non-Newtonian Fluid Heat Transfer in Porous Media," Advances in Heat Transfer, Vol. 24, Academic, New York, 1994, pp. 101-190.
30. Getachew, D., Minkowycz, W. J., and Poulikakos, D., "Constitutive Equations of Non-Newtonian Fluids in a Porous Matrix," Journal of Non-Newtonian Fluid Mechanics (submitted for publication).
31. Getachew, D., "Non-Newtonian Convection in a Porous Matrix: Constitutive Equations and an Application," Ph.D. Dissertation, Univ. of Illinois at Chicago, IL, 1994.
32. Bejan, A., Convection Heat Transfer, Wiley, New York, 1984.
33. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
34. Patankar, S. V., Computation of Conduction and Duct Flow Heat Transfer, Innovative Research, Inc., Maple Grove, MN, 1991.
35. Patankar, S. V., "Elliptic Systems: Finite Difference Method I," Handbook of Numerical Heat Transfer, edited by W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher, Wiley, New York, 1988.
36. Roache, P. J., Computational Fluid Dynamics, Hermosa, Albuquerque, NM, 1972.