The Influence of Changes in the Internal Energy of the Interface on a Two-Layer Flow in a Cylinder
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http://elib.sfu-kras.ru/bitstream/handle/2311/110011/Magdenko.pdf?sequence=1https://elib.sfu-kras.ru/handle/2311/128806
Автор:
Magdenko, Evgeniy Petrovich
Коллективный автор:
Институт математики и фундаментальной информатики
Базовая кафедра математического моделирования и процессов управления
Дата:
2019Журнал:
Journal of Siberian Federal University - Mathematics and PhysicsКвартиль журнала в Scopus:
Q3Квартиль журнала в Web of Science:
без квартиляБиблиографическое описание:
Magdenko, Evgeniy Petrovich. The Influence of Changes in the Internal Energy of the Interface on a Two-Layer Flow in a Cylinder [Текст] / Evgeniy Petrovich Magdenko // Journal of Siberian Federal University - Mathematics and Physics. — 2019. — Т. 12 (№ 2). — С. 213-221Аннотация:
The exact solution of the equations of the creeping flow model with the Himentsa type velocity field is considered in this paper. The solution describes thermocapillary convection in layers. It is interpreted as the motion of viscous heat-conducting liquids in a cylinder with solid walls and combined movable non-deformable interface. At the same time there are no mass forces. From a mathematical point of view the resulting initial-boundary problem is inversible and nonlinear because the total energy condition at the interface is taken into account. It is established that there can be two such solutions.