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Thermal-Concentration Convection in a System Of Viscous Liquid and Binary Mixture in a Plane Channel with Small Marangoni Numbers

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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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Correspondence to M. V. Efimova.

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Original Russian Text © M.V. Efimova, N. Darabi.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 5, pp. 93–103, September–October, 2018.

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Efimova, M.V., Darabi, N. Thermal-Concentration Convection in a System Of Viscous Liquid and Binary Mixture in a Plane Channel with Small Marangoni Numbers. J Appl Mech Tech Phy 59, 847–856 (2018). https://doi.org/10.1134/S0021894418050115

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  • DOI: https://doi.org/10.1134/S0021894418050115

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