Geodesic
Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 178-190

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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, two-layer flows
Mots-clés : exact solution, thermocapillary interface. 
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     title = {Analysis of an exact solution of problem of the evaporative convection (review). {Part} {I.} {Plane} case},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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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. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 178-190. http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a5/