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HOMOGENIZATION OF EQUATIONS FOR MISCIBLE FLUIDS

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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.

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Author information

Authors and Affiliations

  1. University of Auvergne, 63177, Clermont-Ferrand, France

    Y. Amirat

  2. Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    V. V. Shelukhin

  3. Altai State University, 656049, Barnaul, Russia

    V. V. Shelukhin

Authors
  1. Y. Amirat
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  2. V. V. Shelukhin
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Correspondence to V. V. Shelukhin.

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 4, pp. 191-200. https://doi.org/10.15372/PMTF20210419.

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Amirat, Y., Shelukhin, V.V. HOMOGENIZATION OF EQUATIONS FOR MISCIBLE FLUIDS. J Appl Mech Tech Phy 62, 692–700 (2021). https://doi.org/10.1134/S0021894421040192

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  • DOI: https://doi.org/10.1134/S0021894421040192

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