Onset of Convection in a Porous Medium With Internal Heat Generation

[+] Author and Article Information
R. D. Gasser, M. S. Kazimi

Fast Reactor Safety Division, Department of Applied Science, Brookhaven National Laboratory, Upton, N. Y.

J. Heat Transfer 98(1), 49-54 (Feb 01, 1976) (6 pages) doi:10.1115/1.3450468 History: Received August 11, 1975; Online August 11, 2010


The conditions leading to onset of thermal convection in a horizontal porous layer are determined analytically using the method of linear stability of small disturbances. The lower boundary is treated as a rigid surface and the upper boundary as a free surface. The critical internal and external Rayleigh numbers are determined for both stabilizing and destabilizing boundary temperatures. The predicted critical external Rayleigh number in the limit of no heat generation is in agreement with the critical number predicted for a porous medium heated from below.

Copyright © 1976 by ASME
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