Thermal Stability of Horizontally Superposed Porous and Fluid Layers

[+] Author and Article Information
M. E. Taslim, U. Narusawa

Department of Mechanical Engineering, Northeastern University, Boston, MA 02115

J. Heat Transfer 111(2), 357-362 (May 01, 1989) (6 pages) doi:10.1115/1.3250685 History: Received June 03, 1987; Online October 20, 2009


The results of stability analyses for the onset of convective motion are reported for the following three horizontally superposed systems of porous and fluid layers: (a) a porous layer sandwiched between two fluid layers with rigid top and bottom boundaries, (b) a fluid layer overlying a layer of porous medium, and (c) a fluid layer sandwiched between two porous layers. By changing the depth ratio d̂ from zero to infinity, a set of stability criteria (i.e., the critical Rayleigh number Rac and the critical wave number ac ) is obtained, ranging from the case of a fluid layer between two rigid boundaries to the case of a porous layer between two impermeable boundaries. The effects of k/km (the thermal conductivity ratio), δ (the square root of the Darcy number), and α (the nondimensional proportionality constant in the slip condition) on Rac and ac are also examined in detail. The results in this paper, combined with those reported previously for Case (a) (Pillatsis et al., 1987), will provide a comprehensive picture of the interaction between a porous and a fluid layer.

Copyright © 1989 by ASME
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