Natural convection in a porous media inside rectangular enclosures where one of the vertical walls is cooled by external free convection
This paper reports the results of an analytical study of natural convection in a porous media inside rectangular enclosures where one vertical wall is isothermal and the other cooled by external natural convection. The horizontal walls are insulated. The Darcy flow inside the enclosure is solved by a finite difference technique and the heat flux of the external free convection is determined from the results of the similarity solution. An iteration process is developed to solve the present problem by cyclic use of the external and internal conditions until convergence is reached. The Nusselt number is found to be smaller than the standard problem, where both of the vertical walls are maintained at constant temperature, and shows the importance of the external free convection effects to the overall heat transfer system. The effect of the aspect ratio and the ratio of the conductivity of the cooled wall to the porous media are also examined. The comparison of average Nusselt numbers between the pure Darcy flow and the Darcy flow with Brinkman's extension are also presented.
- Research Organization:
- Department of Mechanical Engineering, University of Kentucky, Lexington, Kentucky
- OSTI ID:
- 5345553
- Report Number(s):
- CONF-830702-
- Journal Information:
- HTD (Publ.) (Am. Soc. Mech. Eng.); (United States), Journal Name: HTD (Publ.) (Am. Soc. Mech. Eng.); (United States) Vol. HTD.VOL. 26; ISSN ASMHD
- Country of Publication:
- United States
- Language:
- English
Similar Records
Natural convection in enclosures. Proceedings of the nineteenth national heat transfer conference, Orlando, FL, July 27-30, 1980
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COOLING
DARCY LAW
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
HEAT FLUX
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ISOTHERMAL PROCESSES
ITERATIVE METHODS
MATERIALS
NATURAL CONVECTION
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NUSSELT NUMBER
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