On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 6, pp. 776-784

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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: binary mixture
Mots-clés : Oberbeck-Boussinesque equations, exact solution, convection, thermal diffusion separation.
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     author = {Irina V. Stepanova},
     title = {On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_6_a10/}
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Irina V. Stepanova. On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 6, pp. 776-784. http://geodesic.mathdoc.fr/item/JSFU_2022_15_6_a10/