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Journal of Siberian Federal University. Mathematics & Physics, 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
References:
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZMW-2020-0008
The work of O. N. Goncharova was carried out in accordance with the State Assignment of the Russian Ministry of Science and Higher Education entitled "Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics" (Government contract code FZMW-2020-0008).
Received: 16.10.2023
Received in revised form: 07.12.2023
Accepted: 08.01.2024
Bibliographic databases:
Document Type: Article
UDC: 532.5.013.3
Language: English
Citation: Victoria B. Bekezhanova, Olga N. Goncharova, “On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 17:2 (2024), 207–219
Citation in format AMSBIB
\Bibitem{BekGon24}
\by Victoria~B.~Bekezhanova, Olga~N.~Goncharova
\paper On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 2
\pages 207--219
\mathnet{http://mi.mathnet.ru/jsfu1150}
\edn{https://elibrary.ru/GTRJTD}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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