Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (2)
- Authors
- Andreev, Victor K.; Sobachkina, Natalya L.
- Contact information
- Andreev, Victor K.: Institute of Computational Modelling RAS SB Akademgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Sobachkina, Natalya L.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- binary mixture; free boundary; stationary solution; Laplace transformation; the Marangoni number
- Abstract
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.
- Pages
- 194–205
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/71064
Journal of Siberian Federal University. Mathematics & Physics / The Motion of a Binary Mixture with a Cylindrical Free Boundary at Small Marangoni Numbers
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