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

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 6, Pages 776–784 (Mi jsfu1047)

This article is cited in 1 paper

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

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.

UDC: 532.5

Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.10.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-6-776-784



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