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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 2, Pages 178–190
DOI: https://doi.org/10.17516/1997-1397-2018-11-2-178-190
(Mi jsfu650)
 

This article is cited in 19 scientific papers (total in 19 papers)

Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case

Victoria B. Bekezhanovaab, Olga N. Goncharovacd, Ilia A. Sheferb

a Institute of Computational Modeling SB RAS, Academgorodok, 50/44, Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
c Altai State University, Lenina, 61, Barnaul, 656049, Russia
d Institute of Thermophysics SB RAS, Lavrentieva, 1, Novosibirsk, 630090, Russia
References:
Abstract: Development of theory describing the convection under conditions of "liquid – gas" phase transition, is caused by the active experimental study of the convective phenomena accompanied by evaporation/condensation at interphase. Results of the analytical and numerical investigation of new nonstandard problems of heat and mass transfer in domains with free surfaces or interfaces allow one to evaluate the adequacy of new mathematical models and to derive new characteristic criteria. The obtained fundamental knowledge on physical mechanisms of the studied processes provides the basis of modification and improvement of the fluidic technologies using the evaporating liquids and gas-vapor mixtures as working media. In the paper the analysis of the exact solution of the convection equations, which gives a possibility to model the two-layer convective fluid flows with evaporation, is presented.
Keywords: evaporative convection, exact solution, two-layer flows, thermocapillary interface.
Funding agency Grant number
Russian Foundation for Basic Research 17-08-00291_а
The work was supported by Russian Foundation for Basic Research (project 17-08-00291).
Received: 22.05.2017
Received in revised form: 09.11.2017
Accepted: 20.01.2018
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: English
Citation: Victoria B. Bekezhanova, Olga N. Goncharova, Ilia A. Shefer, “Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 178–190
Citation in format AMSBIB
\Bibitem{BekGonShe18}
\by Victoria~B.~Bekezhanova, Olga~N.~Goncharova, Ilia~A.~Shefer
\paper Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 2
\pages 178--190
\mathnet{http://mi.mathnet.ru/jsfu650}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-2-178-190}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000434678300006}
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    This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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