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This article is cited in 3 scientific papers (total in 3 papers)
Solution of a two-layer flow problem with inhomogeneous evaporation at the thermocapillary interface
Victoria B. Bekezhanovaa, Olga N. Goncharovab, Ilya A. Sheferc a Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation
b Altai State University, Barnaul, Russian Federation
c Siberian Federal University, Krasnoyarsk, Russian Federation
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.
Keywords:
mathematical model, boundary value problem, exact solution, evaporative convection.
Received: 27.01.2021 Received in revised form: 17.03.2021 Accepted: 05.04.2021
Citation:
Victoria B. Bekezhanova, Olga N. Goncharova, Ilya A. Shefer, “Solution of a two-layer flow problem with inhomogeneous evaporation at the thermocapillary interface”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 404–413
Linking options:
https://www.mathnet.ru/eng/jsfu925 https://www.mathnet.ru/eng/jsfu/v14/i4/p404
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Abstract page: | 96 | Full-text PDF : | 36 | References: | 14 |
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