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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 6, Pages 776–784
DOI: https://doi.org/10.17516/1997-1397-2022-15-6-776-784
(Mi jsfu1047)
 

This article is cited in 2 scientific papers (total in 2 papers)

On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls

Irina V. Stepanova

Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation
Full-text PDF (171 kB) Citations (2)
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Abstract: The influence of the thermal load distributed unevenly at the walls of a long horizontal channel filled with a binary mixture on the convective flow is studied based on the constructed exact solution of the boundary value problem for the Oberbeck-Boussinesque equations. It is established that the obtained solution reflects the effect of thermal diffusion correctly, demonstrating the accumulation of a light component near a more heated wall. It is shown that an increase in the horizontal and vertical temperature gradient on the walls leads to the appearance of inhomogeneities in the temperature and concentration fields inside the layer.
Keywords: Oberbeck-Boussinesque equations, exact solution, binary mixture, convection, thermal diffusion separation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-873
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of Regional Centers for Mathematics Research and Education (Agreement no. 075-02-2022-873).
Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.10.2022
Document Type: Article
UDC: 532.5
Language: English
Citation: Irina V. Stepanova, “On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls”, J. Sib. Fed. Univ. Math. Phys., 15:6 (2022), 776–784
Citation in format AMSBIB
\Bibitem{Ste22}
\by Irina~V.~Stepanova
\paper On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 6
\pages 776--784
\mathnet{http://mi.mathnet.ru/jsfu1047}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-6-776-784}
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  • This publication is cited in the following 2 articles:
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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