Porous Media and the Bénard–Marangoni Problem |
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| Authors: | HENNENBERG M. ZIAD SAGHIR M. REDNIKOV A. LEGROS J. C. |
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| Affiliation: | (1) Microgravity Research Center, Faculté des Sciences Appliquées, CP 165, Université Libre de Bruxelles, av. F. D. Roosevelt 50, Bruxelles, B-1050, Belgium;(2) Department of Mechanical Engineering, Faculty of Engineering, United Arab Emirates University, Al-Ain, POB 17555, United Arab Emirates |
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| Abstract: | The Rayleigh–Bénard instability for a clear fluid has its equivalent for a liquid saturated porous matrix. The phenomenological Darcy momentum law cannot give rise by itself to an instability analogous to that of Bénard–Marangoni, but the Brinkman model at least allows it. A critical Marangoni number exists leading to cellullar patterns and, for realistic values of the permeability, it is proportional to the inverse of this last parameter. |
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| Keywords: | surface tension porous media Marangoni– Bé nard instability. |
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