The motion of a binary mixture with a cylindrical free boundary at small Marangoni numbers
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Автор:
Андреев, В. К.
Natalya L. Sobachkina
Коллективный автор:
Институт математики и фундаментальной информатики
Базовая кафедра математического моделирования и процессов управления
Дата:
2018Журнал:
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICSКвартиль журнала в Scopus:
Q3Квартиль журнала в Web of Science:
без квартиляБиблиографическое описание:
Андреев, В. К. The motion of a binary mixture with a cylindrical free boundary at small Marangoni numbers [Текст] / В. К. Андреев, Natalya L. Sobachkina // JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS: Математика и физика. — 2018. — Т. 11 (№ 2). — С. 194-205Аннотация:
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.