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Journal of Applied Mechanics and Technical Physics

2025 year, number 1

Nonlinear Problem of Filtration Convection of a Salt Solution Caused by the Osmotic Effect

M. M. Ramazanov1, N. S. Bulgakova1, S. R. Gadzhimagomedova1, L. I. Lobkovsky2
1Institute of Geothermal and Renewable Energy Problems-Branch of the Joint Institute for High Temperatures of the Russian Academy of Sciences, Makhachkala, Russia
2Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia
Keywords: solution, osmosis, generalized mathematical model, osmotic convection, semipermeable inclusion

Abstract

A mathematical model of filtration of solutions has been formulated taking into account the osmotic effect that occurs in porous media containing semipermeable inclusions. A solution of the nonlinear problem of osmotic convection was obtained based on the model using the Galerkin method. The properties and characteristics of convection caused by osmosis have been studied.