Mathematical model of solutions movement with regard to the osmotic effect

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Abstract

Generalized equations of solutions motion are given both in porous media and in cavities taking into account the osmotic effect. The corresponding corrections which are usually small play a key role in some cases since they are the main reason for the solution movement. Based on the generalized equations, several problems of practical importance have been solved. Due to the limited scope of the paper, only one simplest example is given.

About the authors

M. M. Ramazanov

Institute for Geothermal Research of Daghestan Scientific Center of Russian Academy of Sciences

Author for correspondence.
Email: mukamay-ipg@mail.ru
Russian Federation, 39a, Shamilja street, Makhachkala, 367030

A. V. Karakin

Institute for Applied Mathematics of the Russian Academy of Sciences

Email: mukamay-ipg@mail.ru
Russian Federation, 4, Miusskaya square, Moscow, 125047

L. I. Lobkovskiy

P.P. Shirshov Institute of Oceanology of Russian Academy of Sciences

Email: mukamay-ipg@mail.ru

Corresponding Member of the Russian Academy of Sciences

Russian Federation, 36, Nakhimovskii prospect, Moscow, 117997

References

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  3. Батурин Г. Н. Геохимия железомарганцевых конкреций океана. М.: Наука, 1968. 328 с.
  4. Ландау Л. Д., Лифшиц Е. М. Теоретическая физика. Т. 6. Гидродинамика. М.: Наука, 1986. 736 с.
  5. Ландау Л. Д., Лифшиц Е. М. Теоретическая физика. Т. 5. Статистическая физика. М.: Наука, 1976. 584 с.

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