Soret-driven convection in a porous cavity with perfectly conducting boundaries

Dmitriy Lyubimov; Konstantin Gavrilov; Tatyana Lyubimova

doi:10.1016/j.crme.2011.03.005

Soret-driven convection in a porous cavity with perfectly conducting boundaries

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

Comptes Rendus. Mécanique, Thermodiffusion and coupled phenomena, Volume 339 (2011) no. 5, pp. 297-302.

Abstract

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.

Published online: 2011-04-20

DOI: 10.1016/j.crme.2011.03.005

Mots-clés : Instability, Filtration convection, Soret effect

Author's affiliations:

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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     author = {Dmitriy Lyubimov and Konstantin Gavrilov and Tatyana Lyubimova},
     title = {Soret-driven convection in a porous cavity with perfectly conducting boundaries},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {297--302},
     publisher = {Elsevier},
     volume = {339},
     number = {5},
     year = {2011},
     doi = {10.1016/j.crme.2011.03.005},
     language = {en},
}

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Dmitriy Lyubimov; Konstantin Gavrilov; Tatyana Lyubimova. Soret-driven convection in a porous cavity with perfectly conducting boundaries. Comptes Rendus. Mécanique, Thermodiffusion and coupled phenomena, 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/

References
Cited by

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[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

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[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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