Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2015

Идентификатор DOI: 10.17516/1997-1397-2015-8-3-260-272

Ключевые слова: Creeping motion, Initial-boundary problem, Stationary regime, Thermal diffusion

Аннотация: This paper considers solution of thermal diffusion equations in a special type, which describes two- dimensional motion of binary mixture in a flat channel. Substituting this solution to equations of motion and heat and mass transfer equations results initial-boundary problems for unknown functions as ve- locity, pressure, temperature and concentration. If assume that Reynolds number is small (creeping motion),these problems become linear. In addition, they are inverse since unsteady pressure gradient is also desired. Solution of the problem is obtained by using trigonometric Fourier series, which are rapidly convergent for any time value. Exact solution of the stationary and non-stationary problems is presented. © Siberian Federal University. All rights reserved.

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 8, Is. 3

Номера страниц: 260-272

• Darabi N.B. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)

• Scopus