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This article is cited in 3 scientific papers (total in 3 papers)
On the conditions for existence of unidirectional motions of binary mixtures in the Oberbeck–Boussinesq model
V. K. Andreevab, I. V. Stepanovaab a Sibirian Federal University,
Akademgorodok 50/44,
660036 Krasnoyarsk
b Institute of Computational Modelling SB RAS
Abstract:
Compatibility conditions are obtained for the nonstationary Oberbeck–Boussinesq equations describing the unidirectional motions of a liquid binary mixture in a horizontal strip. We examine the case of polynomial dependence of temperature on the longitudinal coordinate is considered, and the influence of the dependence of the kind on the remaining unknown functions from the original system. It is shown that a nonstationary unidirectional motion between two solid walls can be described by the Oberbeck–Boussinesq model only for the quadratic or linear law of temperature distribution along the horizontal coordinate. Some initial-boundary value problems are posed.
Keywords:
Oberbeck–Boussinesq equations, binary mixture, unidirectional motion, compatibility conditions.
Received: 24.12.2018 Revised: 24.12.2018 Accepted: 14.03.2019
Citation:
V. K. Andreev, I. V. Stepanova, “On the conditions for existence of unidirectional motions of binary mixtures in the Oberbeck–Boussinesq model”, Sib. Zh. Ind. Mat., 22:2 (2019), 3–12; J. Appl. Industr. Math., 13:2 (2019), 185–193
Linking options:
https://www.mathnet.ru/eng/sjim1038 https://www.mathnet.ru/eng/sjim/v22/i2/p3
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Abstract page: | 271 | Full-text PDF : | 142 | References: | 37 | First page: | 96 |
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