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FILTRATION OF HIGHLY MISCIBLE LIQUIDS BASED ON TWO-SCALE HOMOGENIZATION OF THE NAVIER–STOKES AND CAHN–HILLIARD EQUATIONS

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Abstract

This paper presents the results of numerical analysis of filtration equations for highly miscible liquids obtained by two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations for two-dimensional flows. It is shown that the permeability tensor is generally anisotropic. For one-dimensional flows, the miscibility dynamics is investigated, and it is shown that the displacement of one phase by injection of another phase can occur even in the absence of a pressure gradient in the sample.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    V. V. Shelukhin

  2. Gazpromneft NTT, St. Petersburg, Russia

    V. V. Krutko

  3. Novosibirsk National Research State University, Novosibirsk, Russia

    K. V. Trusov

Authors
  1. V. V. Shelukhin
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  2. V. V. Krutko
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  3. K. V. Trusov
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Corresponding author

Correspondence to V. V. Shelukhin.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Vol. 64, No. 3, pp. 164-173. https://doi.org/10.15372/PMTF20230316.

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Shelukhin, V.V., Krutko, V.V. & Trusov, K.V. FILTRATION OF HIGHLY MISCIBLE LIQUIDS BASED ON TWO-SCALE HOMOGENIZATION OF THE NAVIER–STOKES AND CAHN–HILLIARD EQUATIONS. J Appl Mech Tech Phy 64, 499–509 (2023). https://doi.org/10.1134/S0021894423030161

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  • DOI: https://doi.org/10.1134/S0021894423030161

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