Geodesic
Numerical solution of nonstationary problem for convection of binary mixture in horizontal layer
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 2, pp. 365-381

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Nonstationary motion of a liquid binary mixture in a narrow long horizontal channel with rigid walls heated according to a certain law is considered. The possibility of applying the Ostroumov-Birikh solution to the description of the flow under study is used. It reduces the problem to solving a mixed boundary value problem for a system of parabolic equations. A feature of the problem is an additional integral condition on the fluid flow rate. It allows finding the pressure gradient together with the functions of velocity, temperature, and concentration. Applying the constructed numerical procedure, the analysis of the obtained characteristics of motion is carried out using water-ethanol solution as a mixture. The possibilities of stabilizing the unsteady flow and controlling the motion by means of a periodically changing thermal load on the channel wall are shown.
Mots-clés : Oberbeck-Boussinesque equations, thermal diffusion, Ostroumov-Birikh solution
Keywords: numerical solution of nonstationary heat and mass transfer problem. 
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     author = {I. V. Stepanova and V. E. Zalizniak},
     title = {Numerical solution of nonstationary problem for convection of binary mixture in horizontal layer},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {365--381},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2023_33_2_a11/}
}
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I. V. Stepanova; V. E. Zalizniak. Numerical solution of nonstationary problem for convection of binary mixture in horizontal layer. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 2, pp. 365-381. http://geodesic.mathdoc.fr/item/VUU_2023_33_2_a11/