Stability of the advective flow of a binary mixture in a horizontal layer with adiabatic boundaries

Tatyana P. Lyubimova; Dmitriy V. Lyubimov; Dmitriy A. Nikitin; Anatolii V. Perminov

doi:10.1016/j.crme.2013.02.002

Stability of the advective flow of a binary mixture in a horizontal layer with adiabatic boundaries

Tatyana P. Lyubimova ^1,² ; Dmitriy V. Lyubimov ² ; Dmitriy A. Nikitin ¹ ; Anatolii V. Perminov ³

¹ Institute of Continuous Media Mechanics UB RAS, 1, Koroleva Str., 614013, Perm, Russia
² Perm State National Research University, 15, Bukireva Str., 614990, Perm, Russia
³ Perm National Research Polytechnic University, 29a, Komsomolsky Prosp., 614990, Perm, Russia

Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 483-489.

Résumé

Stability and nonlinear regimes of stationary advective flows of binary fluids in a horizontal layer subjected to a homogeneous longitudinal temperature gradient are studied for the case of rigid adiabatic boundaries. The problem is considered taking into account the Soret effect. Stability maps in the parameter plane “Rayleigh number–separation ratio” are obtained for several typical binary fluids.

Publié le : 2013-02-27

DOI : 10.1016/j.crme.2013.02.002

Mots clés : Binary fluid, Horizontal layer, Horizontal temperature gradient, Linear stability, Soret effect

Affiliations des auteurs :

Tatyana P. Lyubimova ^{1, 2} ; Dmitriy V. Lyubimov ² ; Dmitriy A. Nikitin ¹ ; Anatolii V. Perminov ³

¹ Institute of Continuous Media Mechanics UB RAS, 1, Koroleva Str., 614013, Perm, Russia
² Perm State National Research University, 15, Bukireva Str., 614990, Perm, Russia
³ Perm National Research Polytechnic University, 29a, Komsomolsky Prosp., 614990, Perm, Russia

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     author = {Tatyana P. Lyubimova and Dmitriy V. Lyubimov and Dmitriy A. Nikitin and Anatolii V. Perminov},
     title = {Stability of the advective flow of a binary mixture in a horizontal layer with adiabatic boundaries},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {483--489},
     publisher = {Elsevier},
     volume = {341},
     number = {4-5},
     year = {2013},
     doi = {10.1016/j.crme.2013.02.002},
     language = {en},
}

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Tatyana P. Lyubimova; Dmitriy V. Lyubimov; Dmitriy A. Nikitin; Anatolii V. Perminov. Stability of the advective flow of a binary mixture in a horizontal layer with adiabatic boundaries. Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 483-489. doi : 10.1016/j.crme.2013.02.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.02.002/

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