Mots-clés : Oberbeck-Boussinesque equations, exact solution, convection, thermal diffusion separation.
@article{JSFU_2022_15_6_a10,
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},
pages = {776--784},
year = {2022},
volume = {15},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_6_a10/}
}
TY - JOUR AU - Irina V. Stepanova TI - On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2022 SP - 776 EP - 784 VL - 15 IS - 6 UR - http://geodesic.mathdoc.fr/item/JSFU_2022_15_6_a10/ LA - en ID - JSFU_2022_15_6_a10 ER -
%0 Journal Article %A Irina V. Stepanova %T On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2022 %P 776-784 %V 15 %N 6 %U http://geodesic.mathdoc.fr/item/JSFU_2022_15_6_a10/ %G en %F JSFU_2022_15_6_a10
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/
[1] G.A. Ostroumov, Free Convection under the Conditions of an Internal Problem, Gostekhizdat Press, M.-L., 1952 (in Russian)
[2] R.V. Birikh, “Thermocapillary convection in a horizontal layer of liquid”, J. Appl. Mech. Tech. Phys., 3 (1966), 35–45
[3] V.K. Andreev, Birikh solutions for convection equations and thier generalizations, ICM SB RAS, Krasnoyarsk, 2010 (in Russian)
[4] V.V. Pukhnachev, “Non-stationary analogs of Birikh solutions”, Izvestiya of Altai State University, 69:1-2 (2011), 62–69 (in Russian)
[5] V.B. Bekezhanova, O.N. Goncharova, I.A. Shefer, “Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 178–190 | DOI
[6] L.D. Landau, E.M. Lifshitz, Course of Theoretical Physics, v. 6, Fluid Mechanics, 2nd ed., Butterworth-Heinemahh, Oxford, 1987
[7] S.R. De Groot, P. Mazur, Non-equilibrium Thermodynamic, Dover, London, 1984
[8] V.K. Andreev, I.V. Stepanova, “Inverse problem for source function in parabolic equation at Neumann boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 445–451 | DOI
[9] V.K. Andreev, Yu.A. Gaponenko, O.N. Goncharova, V.V. Pukhnachev, Mathematical Models of Convection, 2nd Edition, De Gryuter Publ, 2020
[10] I.I. Ryzhkov, Thermal diffusion in mixtures: equations, symmetry, solutions and their stability, SB RAS, Novosibirsk, 2013 (in Russian)
[11] I.V. Stepanova, “Study of convection of binary mixture in a horizontal channel based on exact solution of heat and mass transfer equations”, Int. J. Appl. Comput. Math. (to appear)
[12] V.K. Andreev, I.V. Stepanova, “Non-stationary Unidirectional Motion of Binary Mixture in Long Flat Layer”, Int. J. Appl. Comput. Math., 6:6 (2020) | DOI