Natural Convection in Porous Media Induced by the Centrifugal Body Force: The Solution for Small Aspect Ratio

[+] Author and Article Information
P. Vadasz

Department of Mechanical Engineering, University of Durban-Westville, Durban, South Africa

J. Energy Resour. Technol 114(3), 250-254 (Sep 01, 1992) (5 pages) doi:10.1115/1.2905949 History: Received May 14, 1991; Revised April 28, 1992; Online April 16, 2008


The analytical solution to the natural convection problem in a rotating rectangular porous domain is presented for a small aspect ratio of the domain. The convection results from differential heating of the horizontal walls leading to temperature gradients orthogonal to the centrifugal body force. The solution to the nonlinear set of partial differential equations was obtained through an asymptotic expansion of the dependent variables in terms of a small parameter representing the aspect ratio of the domain. The convection regime is apparent in the results, although it has a weak effect on the mean heat flux.

Copyright © 1992 by The American Society of Mechanical Engineers
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