Comptes Rendus
no. 5
Soret-driven convection in a porous cavity with perfectly conducting boundaries
Dmitriy Lyubimov1  ; Konstantin Gavrilov1  ; Tatyana Lyubimova1, 2
1 Theoretical Physics Department, Perm State University, Bukireva str. 15, 614990 Perm, Russia
2 Institute of Continuous Media Mechanics UB RAS, Koroleva str. 1, 614013 Perm, Russia
Comptes Rendus. Mécanique, Volume 339 (2011) no. 5, pp. 297-302.

This article deals with two-dimensional Soret-driven convection in a porous cavity with perfectly conducting boundaries heated from below. It is shown that thermodiffusion effect destroys degeneracy existing in the case of single-component fluid. The scenario of the convection onset is discussed. The boundaries of the diffusive state instability to the small-amplitude and finite-amplitude monotonous and oscillatory perturbations are determined.

Publié le :
DOI : 10.1016/j.crme.2011.03.005
Mots clés : Instability, Filtration convection, Soret effect
Dmitriy Lyubimov 1 ; Konstantin Gavrilov 1 ; Tatyana Lyubimova 1, 2

1 Theoretical Physics Department, Perm State University, Bukireva str. 15, 614990 Perm, Russia
2 Institute of Continuous Media Mechanics UB RAS, Koroleva str. 1, 614013 Perm, Russia 
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     pages = {297--302},
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Dmitriy Lyubimov; Konstantin Gavrilov; Tatyana Lyubimova. Soret-driven convection in a porous cavity with perfectly conducting boundaries. Comptes Rendus. Mécanique, Volume 339 (2011) no. 5, pp. 297-302. doi : 10.1016/j.crme.2011.03.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.03.005/

[1] D.A. Nield; A. Bejan Convection in Porous Media, Springer Science, Business Media, Inc, New York, 2006

[2] M. Bourich; M. Hasnaoui; A. Amahmid; M. Mamou Onset of convection and finite amplitude flow due to Soret effect within a horizontal sparsely pecked porous enclosure heated from below, Int. J. Heat and Fluid Flow, Volume 26 (2005), pp. 513-525

[3] D.V. Lyubimov On the convective flows in the porous medium heated from below, J. Appl. Mech. Tech. Phys., Volume 16 (1975), pp. 131-137 (in Russian)

[4] D.V. Lyubimov Dynamic Properties of Thermal Convection in Porous Medium: Instabilities in Multiphase Flows, Plenum Publishing Co., London, 1993

[5] A.F. Glukhov; D.V. Lyubimov; G.F. Putin Convective motions in a porous medium near the equilibrium instability threshold, Sov. Phys. Dokl., Volume 23 (1978), pp. 22-24

[6] Y. Saad Numerical Methods for Large Eigenvalue Problems, Manchester University Press, Manchester, 1992

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