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J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 4, Pages 404–415 (Mi jsfu499)  

2D thermocapillary motion of three fluids in a flat channel

Viktor K. Andreevab, Elena N. Cheremnykhab

a Institute of computational modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

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.

Keywords: thermocapillarity, interface, mathematical modeling, numerical experiments.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00067_а
This research was supported by the Russian Foundation for Basic Research (14-01-00067).


DOI: https://doi.org/10.17516/1997-1397-2016-9-4-404-415

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Bibliographic databases:

UDC: 517.9
Received: 17.05.2016
Received in revised form: 12.08.2016
Accepted: 15.09.2016
Language:

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

Citation in format AMSBIB
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\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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