Abstract:
Two-dimensional creeping motion of three immiscible, incompressible viscous fluids in a flat channel bounded by fixed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by finite analytic formulas obtained by Laplace transform in images. The evolution of the velocity fields to the stationary regime for specific liquids is obtained by the numerical inversion of Laplace transformation.
This research was supported by the Russian Foundation for Basic Research (14-01-00067).
Received: 17.05.2016 Received in revised form: 12.08.2016 Accepted: 15.09.2016
Bibliographic databases:
Document Type:
Article
UDC:
517.9
Language: English
Citation:
Viktor K. Andreev, Elena N. Cheremnykh, “2D thermocapillary motion of three fluids in a flat channel”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 404–415
\Bibitem{AndLem16}
\by Viktor~K.~Andreev, Elena~N.~Cheremnykh
\paper 2D thermocapillary motion of three fluids in a flat channel
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 4
\pages 404--415
\mathnet{http://mi.mathnet.ru/jsfu499}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-4-404-415}
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Linking options:
https://www.mathnet.ru/eng/jsfu499
https://www.mathnet.ru/eng/jsfu/v9/i4/p404
This publication is cited in the following 2 articles:
L. S. Goruleva, E. Yu. Prosviryakov, “A New Class of Exact Solutions to Magnetohydrodynamics Equations for Describing Convective Flows of Binary Fluids”, Tech. Phys., 68:10 (2023), 292
Larisa Goruleva, Evgenii Prosviryakov, “A New Class of Exact Solutions for Magnetohydrodynamics Equations to Describe Convective Flows of Binary Liquids”, HFIM, 25:4 (2023)
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