Abstract:
Nonlinear model of convection in Oberbeck–Boussinesq approximation describing the flat joint motion of a binary mixture and viscous fluid with a common interface is investigated. It is important that the longitudinal temperature gradient and the concentration is quadratic dependence on the coordinate x. Stationary solution of the system is built.
The work received financial support from RFBR (14-01-00067).
Received: 12.10.2015 Received in revised form: 10.11.2015 Accepted: 20.12.2015
Bibliographic databases:
Document Type:
Article
UDC:
532.5
Language: English
Citation:
Marina V. Efimova, “On one two-dimensional stationary flow of a binary mixture and viscous fluid in a plane layer”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 30–36
\Bibitem{Efi16}
\by Marina~V.~Efimova
\paper On one two-dimensional stationary flow of a binary mixture and viscous fluid in a plane layer
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 1
\pages 30--36
\mathnet{http://mi.mathnet.ru/jsfu457}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-1-30-36}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412005500004}
Linking options:
https://www.mathnet.ru/eng/jsfu457
https://www.mathnet.ru/eng/jsfu/v9/i1/p30
This publication is cited in the following 4 articles:
E. Yu. Prosviryakov, “New class of exact solutions of Navier-Stokes equations with exponential dependence of velocity on two spatial coordinates”, Theor. Found. Chem. Eng., 53:1 (2019), 107–114
V. K. Andreev, M. V. Efimova, “Properties of solutions for the problem of a joint slow motion of a liquid and a binary mixture in a two-dimensional channel”, J. Appl. Industr. Math., 12:3 (2018), 395–408
Victor K. Andreev, Marina V. Efimova, “A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel”, Zhurn. SFU. Ser. Matem. i fiz., 11:4 (2018), 482–493
S. S. Vlasova, E. Yu. Prosviryakov, “Two-dimensional convection of an incompressible viscous fluid with the heat exchange on the free border”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:3 (2016), 567–577
Citation in format AMSBIB
Contact us: