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

J. Sib. Fed. Univ. Math. Phys., 2024 Volume 17, Issue 2, Pages 207–219 (Mi jsfu1150)

On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions

Victoria B. Bekezhanovaa, Olga N. Goncharovab

a Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation
b Altai State University, Barnaul, Russian Federation

Abstract: Characteristics of steady-state convective flows of a liquid and a co-current gas flux under the conditions of inhomogeneous evaporation of the diffusive type in a flat horizontal channel are studied. A partially-invariant exact solution of equations of the thermosolutal convection is used to describe the flows within the framework of the Oberbeck – Boussinesq approximation. It is derived as the solution of the evaporative convection problem with the Dirichlet boundary conditions on the outer channel walls. The influence of the external thermal load on the structure of the velocity and temperature fields, evaporation mass flow rate and vapor content in the gas layer was investigated in the HFE-7100 – nitrogen system.

Keywords: mathematical model, boundary-value problem, exact solution, evaporative convection.

UDC: 532.5.013.3

Received: 16.10.2023
Received in revised form: 07.12.2023
Accepted: 08.01.2024

Language: English



© Steklov Math. Inst. of RAS, 2025