Geodesic
The motion of a binary mixture with a cylindrical free boundary at small Marangoni numbers
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 194-205

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We studied the problem of axisymmetric motion of a binary mixture with a cylindrical free boundary at small Marangoni numbers. Using Laplace transformation properties the exact analytical solution is obtained. It is shown that a stationary solution is the limiting one with the growth of time if satisfy certain conditions imposed on the external temperature. Some examples of numerical reconstruction of the velocity, temperature and concentration fields are considered, which correspond well with the theoretical results.
Keywords: binary mixture, free boundary, stationary solution, the Marangoni number.
Mots-clés : Laplace transformation 
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     title = {The motion of a binary mixture with a cylindrical free boundary at small {Marangoni} numbers},
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Viсtor K. Andreev; Natalya L. Sobachkina. The motion of a binary mixture with a cylindrical free boundary at small Marangoni numbers. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 194-205. http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a7/