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RESEARCH PAPERS

Stability of a Horizontal Porous Layer with Timewise Periodic Boundary Conditions

[+] Author and Article Information
B. Chhuon, J. P. Caltagirone

Laboratoire d’Aérothermique du Centre National de La Recherche Scientifique, 4 ter, route des Gardes, Meudon, F 92190, France

J. Heat Transfer 101(2), 244-248 (May 01, 1979) (5 pages) doi:10.1115/1.3450954 History: Received December 27, 1977; Online August 11, 2010

Abstract

The stability of a horizontal porous layer bounded by two impermeable planes is investigated. A time dependent periodic temperature profile is imposed on the lower boundary while the upper plane is kept at constant temperature. Starting from the preconvective temperature distribution, and using the linear stability theory, a criterion for the onset of convection is defined as a function of the perturbation wavenumber and of the amplitude and frequency of the temperature oscillation. Experimental work with a setup allowing both the amplitude and the frequency of the thermal signal to vary is done. Finally, the equations are also solved numerically and the results are compared to the previous ones. A synthesis of all results is included.

Copyright © 1979 by ASME
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