Journal of Siberian Federal University. Mathematics & Physics / Solution of a Two-Layer Flow Problem with Inhomogeneous Evaporation at the Thermocapillary Interface

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (4)
Authors
Bekezhanova, Victoria B.; Goncharova, Olga N.; Shefer, Ilya A.
Contact information
Bekezhanova, Victoria B.: Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation; OCRID: 0000-0003-2068-6364; Goncharova, Olga N.: Altai State University Barnaul, Russian Federation; OCRID: 0000-0002-9876-4177; Shefer, Ilya A.: Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0003-0923-9352
Keywords
mathematical model; boundary value problem; exact solution; evaporative convection
Abstract

The Ostroumov–Birikh type exact solution of thermodiffusion convection equations is constructed in the frame of mathematical model considering evaporation through the liquid–gas interface and the influence of direct and inverse thermodiffusion effects. It is interpreted as a solution describing steady flow of evaporating liquid driven by co-current gas-vapor flux on a working section of a plane horizontal channel. Functional form of required functions is presented. An algorithm for finding all the constants and parameters contained in the solution is outlined, and their explicit expressions are written. The solution is derived for the case of vapor absorption on the upper wall of the channel which is set with the help of the first kind boundary condition for the function of vapor concentration. Applicability field of the solution is briefly discussed

Pages
404–413
DOI
10.17516/1997-1397-2021-14-4-404-413
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/141722