Mathematical Model for the Motion of Solutions Taking into Account the Osmotic Effect


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Abstract

The generalized equations of solution motion are given both in porous media and in cavities taking into account the osmotic effect. In certain cases, commonly small relevant corrections play a key role since they are mainly causing the solution motion. Based on the generalized equations, a number of problems have been solved that are of practical value. Owing to the limited volume of this paper, only a simplified example is given.

About the authors

M. M. Ramazanov

Institute for Geothermal Problems, Dagestan Science Center, Russian Academy of Sciences

Author for correspondence.
Email: mukamay-ipg@mail.ru
Russian Federation, Makhachkala, Dagestan, 367000

A. V. Karakin

Federal Research Center, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: mukamay-ipg@mail.ru
Russian Federation, Moscow, 125047

L. I. Lobkovskiy

Shirshov Institute of Oceanology, Russian Academy of Sciences

Email: mukamay-ipg@mail.ru
Russian Federation, Moscow, 117218

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