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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2025 Volume 66, Issue 1, Pages 39–52 (Mi pmtf9643)

This article is cited in 2 papers

Nonlinear problem of filtration convection of a salt solution caused by the osmotic effect

M. M. Ramazanova, N. S. Bulgakovaa, S. R. Gadjimagomedovaa, L. I. Lobkovskyb

a Institute of Geothermy Problems, Makhachkala
b P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences

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.

Keywords: solution, osmosis, generalized mathematical model, osmotic convection, semipermeable inclusion.

UDC: 532.685: 532.71

Received: 25.12.2023
Revised: 05.04.2024
Accepted: 27.04.2024

DOI: 10.15372/PMTF202315445


 English version:
Journal of Applied Mechanics and Technical Physics, 2025, 66:1, 32–44

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© Steklov Math. Inst. of RAS, 2026