Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2013-3pp.330-337

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I.V. Stepanova, "The invariant solution of thermal diffusion equations for a non-linear buoyancy force," J. Appl. Math. Mech. 77 (3), 330-337 (2013)
Year 2013 Volume 77 Issue 3 Pages 330-337
Title The invariant solution of thermal diffusion equations for a non-linear buoyancy force
Author(s) I.V. Stepanova (Krasnoyarsk, Russia, stepiv@icm.krasn.ru)
Abstract A model of the thermal-diffusion convection of a binary mixture when there is a non-linear dependence of the buoyancy force on the temperature and concentration is considered. An invariant solution, which describes the steady flow of the mixture in a plane vertical layer, is constructed and investigated. The effect of non-linearity of the buoyancy force on the type of flow is examined.
Received 10 May 2011
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