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J. Sib. Fed. Univ. Math. Phys., 2008, Volume 1, Issue 4, Pages 349–370 (Mi jsfu36)  

This article is cited in 2 scientific papers (total in 2 papers)

The Joint Motion of Two Binary Mixtures in a Flat Layer

Viktor K. Andreev

Institute of Mathematics, Siberian Federal University

Abstract: The invariant solution of the equations of thermodiffusional motion is investigated. This solution describes the motion of two immiscible incompressible binary mixtures with a common flat interface under the action of pressure gradient and thermocapillary forces. The stationary flow of such system is found. If the pressure gradient in one of the mixtures tends to zero sufficiently fast, then the motion of mixtures is slowed down by the viscous friction. On the other hand, if there exists a finite limit of pressure gradient when time tends to infinity, then the solution tends to the stationary state.

Keywords: flat layer, thermodiffusional motion, invariant solution.

Full text: PDF file (367 kB)
References: PDF file   HTML file
UDC: 532.517
Received: 10.09.2008
Received in revised form: 20.10.2008
Accepted: 05.11.2008
Language:

Citation: Viktor K. Andreev, “The Joint Motion of Two Binary Mixtures in a Flat Layer”, J. Sib. Fed. Univ. Math. Phys., 1:4 (2008), 349–370

Citation in format AMSBIB
\Bibitem{And08}
\by Viktor~K.~Andreev
\paper The Joint Motion of Two Binary Mixtures in a~Flat Layer
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2008
\vol 1
\issue 4
\pages 349--370
\mathnet{http://mi.mathnet.ru/jsfu36}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Viktor K. Andreev, Alexander P. Chupakhin, “The motion of a binary mixture and viscous liquid in a circular pipe under the action of an unsteady pressure gradient”, Zhurn. SFU. Ser. Matem. i fiz., 3:2 (2010), 135–145  mathnet
    2. Viktor K. Andreev, Vladimir V. Kuznetsov, “Termokapillyarnoe dvizhenie dvukh vyazkikh zhidkostei v tsilindricheskoi trube”, Zhurn. SFU. Ser. Matem. i fiz., 3:4 (2010), 461–474  mathnet
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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