Eur. Phys. J. B 29, 641-647 (2002)
https://doi.org/10.1140/epjb/e2002-00348-9

Thermal instability of a rotating saturated porous medium heated from below and submitted to rotation

¹ Institute of Physics, Department of Astrophysics and Geophysics, University of Liège, Belgium
² Microgravity Research Center, Fac. des Sciences Appliquées, Université Libre de Bruxelles, CP 165/62, Av. F.D. Roosevelt, 1050, Bruxelles, Belgium

Corresponding author: ^a tdesaive@ulg.ac.be

Received: 24 June 2002
Revised: 11 September 2002
Published online: 31 October 2002

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.