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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 4, Pages 191–200
DOI: https://doi.org/10.15372/PMTF20210419 (Mi pmtf142) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Homogenization of equations for miscible fluids

Y. Amirata, V. V. Shelukhinbc

a University of Auvergne, Clermont-Ferrand 63177, France
b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
c Altai State University, 656049, Barnaul, Russia
Full-text PDF (234 kB) First page Citations (4)
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DOI: https://doi.org/10.15372/PMTF20210419
Abstract: Equations of filtration of a two-component miscible fluid in a porous medium are derived with the use of the method of two-scale homogenization of the system of the Navier–Stokes and Cahn–Hilliard equations. The case of strong miscibility is considered.
Keywords: Navier–Stokes equations, Cahn–Hilliard equations, filtration of miscible fluids, two-scale homogenization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZMW-2020-0008
Received: 11.05.2021
Revised: 11.05.2021
Accepted: 31.05.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 4, Pages 692–700
DOI: https://doi.org/10.1134/S0021894421040192
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: Y. Amirat, V. V. Shelukhin, “Homogenization of equations for miscible fluids”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021), 191–200; J. Appl. Mech. Tech. Phys., 62:4 (2021), 692–700
Citation in format AMSBIB
\Bibitem{AmiShe21}
\by Y.~Amirat, V.~V.~Shelukhin
\paper Homogenization of equations for miscible fluids
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 4
\pages 191--200
\mathnet{http://mi.mathnet.ru/pmtf142}
\crossref{https://doi.org/10.15372/PMTF20210419}
\elib{https://elibrary.ru/item.asp?id=46448005}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 4
\pages 692--700
\crossref{https://doi.org/10.1134/S0021894421040192}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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