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J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 1, Pages 48–59 (Mi jsfu459)  

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

Modeling of two-layer fluid flows with evaporation at the interface in the presence of the anomalous thermocapillary effect

Olga N. Goncharova, Ekaterina V. Rezanova

Altai State University, Lenina, 61, Barnaul, 656049, Russia

Abstract: Stationary convective flows of two immiscible viscous incompressible fluids (liquid and gas) under action of the transverse gravity field and longitudinal temperature gradient along the interface are studied analytically. Mathematical model of the fluid flows with the effects of evaporation at the interface is based on exact solutions to the Navier–Stokes equations in the Oberbeck–Boussinesq approximation. The effects of the thermodiffusion and diffusive heat conductivity in the gas-vapor layer are taken into consideration. The obtained solutions are used to model the flows in the two-layer gas-liquid system in the case when a liquid exhibits the anomalous thermocapillary effect. Examples of the two-layer fluid flows are presented for various values of the gas flow rate, longitudinal temperature gradient at the interface and the gravity force acceleration.

Keywords: mathematical model, interface, evaporation, exact solution, anomalous thermocapillary effect.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-08-00163
Authors gratefully acknowledge the support of this work by the Russian Foundation of Basic Research, grant 14-08-00163.


DOI: https://doi.org/10.17516/1997-1397-2016-9-1-48-59

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Bibliographic databases:

UDC: 536.25
Received: 02.10.2015
Received in revised form: 16.12.2015
Accepted: 20.01.2016
Language:

Citation: Olga N. Goncharova, Ekaterina V. Rezanova, “Modeling of two-layer fluid flows with evaporation at the interface in the presence of the anomalous thermocapillary effect”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 48–59

Citation in format AMSBIB
\Bibitem{GonRez16}
\by Olga~N.~Goncharova, Ekaterina~V.~Rezanova
\paper Modeling of two-layer fluid flows with evaporation at the interface in the presence of the anomalous thermocapillary effect
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 1
\pages 48--59
\mathnet{http://mi.mathnet.ru/jsfu459}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-1-48-59}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412005500006}


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    This publication is cited in the following articles:
    1. 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  mathnet  crossref  zmath  elib
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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