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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2025, Volume 66, Issue 1, Pages 39–52
DOI: https://doi.org/10.15372/PMTF202315445 (Mi pmtf9643) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
Full-text PDF (630 kB) First page Citations (1)
DOI: https://doi.org/10.15372/PMTF202315445
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00269-25-00
FMWE-2021-0005
The work was supported by the Ministry of Science and Higher Education of the Russian Federation (state assignment no. 075-00269-25-00) and by the state assignment of the Shirshov Institute of Oceanology of the Russian Academy of Sciences (project code FMWE-2021-0005).
Received: 25.12.2023
Revised: 05.04.2024
Accepted: 27.04.2024
English version:
Journal of Applied Mechanics and Technical Physics, 2025, Volume 66, Issue 1, Pages 32–44
DOI: https://doi.org/10.1134/S0021894425010122
Bibliographic databases:
Document Type: Article
UDC: 532.685: 532.71
Language: Russian
Citation: M. M. Ramazanov, N. S. Bulgakova, S. R. Gadjimagomedova, L. I. Lobkovsky, “Nonlinear problem of filtration convection of a salt solution caused by the osmotic effect”, Prikl. Mekh. Tekh. Fiz., 66:1 (2025), 39–52; J. Appl. Mech. Tech. Phys., 66:1 (2025), 32–44
Citation in format AMSBIB
\Bibitem{RamBulGad25}
\by M.~M.~Ramazanov, N.~S.~Bulgakova, S.~R.~Gadjimagomedova, L.~I.~Lobkovsky
\paper Nonlinear problem of filtration convection of a salt solution caused by the osmotic effect
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2025
\vol 66
\issue 1
\pages 39--52
\mathnet{http://mi.mathnet.ru/pmtf9643}
\crossref{https://doi.org/10.15372/PMTF202315445}
\elib{https://elibrary.ru/item.asp?id=67024679}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2025
\vol 66
\issue 1
\pages 32--44
\crossref{https://doi.org/10.1134/S0021894425010122}
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  • https://www.mathnet.ru/eng/pmtf/v66/i1/p39
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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