Reference : Thermal instability of a rotating saturated porous medium heated from below and submi...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Thermal instability of a rotating saturated porous medium heated from below and submitted to rotation
Desaive, Thomas mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles >]
Hennenberg, M. mailto [Université Libre de Bruxelles - ULB > MRC > > >]
Lebon, Georgy mailto [Université de Liège - ULg > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences) >]
European Physical Journal B -- Condensed Matter
Yes (verified by ORBi)
New York
[en] 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 Kuppers-Lortz instability.

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