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J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 4, Pages 537–547 (Mi jsfu584)  

This article is cited in 1 scientific paper (total in 1 paper)

Influence of the interfacial internal energy on the thermocapillary steady flow

Victor K. Andreevab

a Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk

Abstract: Two-dimensional creeping motion of a two immiscible viscous heat-conducting fluids on the interface for which the surface tension depends linearly on the temperature is investigated. On solid walls the temperature has extreme values and this agrees well with the velocity field of the Hiemenz's type. At small Marangoni numbers an exact solution of arising inverse boundary value problem is found. The estimation of degree of influence of the interfacial internal energy on the stationary flow is given.

Keywords: interface, thermocapillary, interfacial internal energy, inverse problem.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00229_а
This research was supported by the Russian Foundation for Basic Research (17-01-00229).


DOI: https://doi.org/10.17516/1997-1397-2017-10-4-537-547

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Bibliographic databases:

UDC: 532.51
Received: 10.05.2017
Received in revised form: 10.06.2017
Accepted: 20.07.2017
Language:

Citation: Victor K. Andreev, “Influence of the interfacial internal energy on the thermocapillary steady flow”, J. Sib. Fed. Univ. Math. Phys., 10:4 (2017), 537–547

Citation in format AMSBIB
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\by Victor~K.~Andreev
\paper Influence of the interfacial internal energy on the thermocapillary steady flow
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 4
\pages 537--547
\mathnet{http://mi.mathnet.ru/jsfu584}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-4-537-547}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000418047300016}


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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. E. N. Lemeshkova, “Two-dimensional plane steady-state thermocapillary flow”, Fluid Dyn., 54:1 (2019), 33–41  crossref  mathscinet  zmath  isi  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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