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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 1, Pages 17–26
(Mi sjim647)
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This article is cited in 1 scientific paper (total in 1 paper)
On a convective flow of a binary mixture in a vertical flume
V. K. Andreev, I. V. Stepanova Institute of Computational Modelling SB RAS, Krasnoyarsk, RUSSIA
Abstract:
Under study is an invariant solution of the equations of thermal diffusive convection which describes a stationary process of a binary mixture flow in a vertical layer under the action of the pressure gradient and the buoyancy force that depends nonlinearly on temperature and concentration. Some general properties of this solution are established and an existence theorem is proved. Analysis of the numerical solution of the problem is carried out in the cases of a power-law and exponential dependence of the buoyancy force on its argument.
Keywords:
binary mixture, heat diffusion, invariant solution.
Received: 07.04.2010
Citation:
V. K. Andreev, I. V. Stepanova, “On a convective flow of a binary mixture in a vertical flume”, Sib. Zh. Ind. Mat., 14:1 (2011), 17–26; J. Appl. Industr. Math., 5:4 (2011), 491–499
Linking options:
https://www.mathnet.ru/eng/sjim647 https://www.mathnet.ru/eng/sjim/v14/i1/p17
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