The unidirectional motion of two heat-conducting liquids in a flat channel
URI (для ссылок/цитирований):
http://iopscience.iop.org/article/10.1088/1742-6596/894/1/012106/metahttps://elib.sfu-kras.ru/handle/2311/111125
Автор:
Андреев, В. К.
Cheremnykh, E. N.
Коллективный автор:
Институт математики и фундаментальной информатики
Базовая кафедра математического моделирования и процессов управления
Дата:
2017-10Журнал:
Journal of Physics: Conference SeriesКвартиль журнала в Scopus:
Q3Квартиль журнала в Web of Science:
без квартиляБиблиографическое описание:
Андреев, В. К. The unidirectional motion of two heat-conducting liquids in a flat channel [Текст] / В. К. Андреев, E. N. Cheremnykh // Journal of Physics: Conference Series. — 2017. — Т. 894 (№ 1).Аннотация:
The unidirectional motion of two viscous incompressible liquids in a flat channel is studied. Liquids contact on a flat interface. External boundaries are fixed solid walls, on which the non-stationary temperature gradients are given. The motion is induced by a joint action of thermogravitational and thermocapillary forces and given total non - stationary fluid flow rate in layers. The corresponding initial boundary value problem is conjugate and inverse because the pressure gradients along axes channel have to be determined together with the velocity and temperature field. For this problem the exact stationary solution is found and a priori estimates of non - stationary solutions are obtained. In Laplace images the solution of the non - stationary problem is found in quadratures. It is proved, that the solution converges to a steady regime with time, if the temperature on the walls and the fluid flow rate are stabilized. The numerical calculations for specific liquid media good agree with the theoretical results.