Thermal-Concentration Convection in a System of Viscous Liquid and Binary Mixture in a Plane Channel with Small Marangoni Numbers
M. V. Efimova1,2, N. Darabi2
1Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
2Siberian Federal University, Krasnoyarsk, 660036, Russia
Keywords: начально-краевая задача, преобразование Лапласа, бинарная смесь, термоконцентрационный эффект, initial-boundary-value problem, Laplace transform, binary mixture, thermal concentration effect
Abstract
A conjugated initial-boundary-value problem occurring in the movement of a binary mixture and viscous heat-conductive liquid with a common interface surface under the action of thermal-concentration forces is under consideration. A solution describing a stationary flow in layers, temperature distribution, and concentration distribution is determined. The Laplace transform method is used to obtain a nonstationary solution for the problem in images, which makes it possible to describe the evolution of the movement using the numerical inversion of images.
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