Thermal instability of a rotating saturated porous medium heated from below and submitted to rotation |
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Authors: | Th Desaive M Hennenberg G Lebon |
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Institution: | (1) Institute of Physics, Department of Astrophysics and Geophysics, University of Liège, Belgium, BE;(2) Microgravity Research Center, Fac. des Sciences Appliquées, Université Libre de Bruxelles, CP 165/62, Av. F.D. Roosevelt, 1050, Bruxelles, Belgium, BE |
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Abstract: | In this work, we study the problem of onset of thermal convection in a rotating saturated porous medium heated from below.
The effect of rotation is restricted to the Coriolis force, neglecting thus the centrifugal effects, the porous medium is
described by Brinkman's model. The linear eigenvalue problem is solved by means of a modified Galerkin method. The behavior
of the critical temperature gradient is discussed in terms of various parameters of the system for both stationary and overstable
convections. Finally a weakly nonlinear analysis is provided to derive amplitude equations and to study the onset of Küppers-Lortz
instability.
Received 24 June 2002 / Received in final form 11 September 2002 Published online 31 October 2002
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ID="a"e-mail: tdesaive@ulg.ac.be |
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Keywords: | PACS 47 20 Bp Buoyancy-driven instability – 44 25 +f Natural convection – 47 27 Te Convection and heat transfer |
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