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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2018 Volume 11, Issue 2, Pages 178–190 (Mi jsfu650)

This article is cited in 20 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

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.

UDC: 512.54

Received: 22.05.2017
Received in revised form: 09.11.2017
Accepted: 20.01.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-2-178-190



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