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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2016 Issue 7-4(49), Pages 94–97 (Mi irj137)

PHYSICS AND MATHEMATICS

Similar problem of thermal convection, averaged over a thin layer

L. V. Sakharova

Rostov State Economical University

Abstract: We obtain exponential self-similar replacement for the problem of thermal convection, averaged over a thin layer of the evaporating liquid. The problem is a model of dry non-viscous, netemperaturoprovodnoy extended drop. The problem is reduced to a system of ordinary differential equations, obtained its self-similar solution. The solution complies ispareniyuliquid film condensation in a drain three-phase contact line.

Keywords: mathematical model, similar solutions, drop, evaporation- condensation.

DOI: 10.18454/IRJ.2016.49.060



© Steklov Math. Inst. of RAS, 2026