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Filtration of highly miscible liquids based on two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations. / Shelukhin, V. V.; Krutko, V. V.; Trusov, K. V.

In: Journal of Applied Mechanics and Technical Physics, Vol. 64, No. 3, 06.2023, p. 499-509.

Research output: Contribution to journal › Article › peer-review

Harvard

Shelukhin, VV, Krutko, VV & Trusov, KV 2023, 'Filtration of highly miscible liquids based on two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations', Journal of Applied Mechanics and Technical Physics, vol. 64, no. 3, pp. 499-509. https://doi.org/10.1134/S0021894423030161

APA

Shelukhin, V. V., Krutko, V. V., & Trusov, K. V. (2023). Filtration of highly miscible liquids based on two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations. Journal of Applied Mechanics and Technical Physics, 64(3), 499-509. https://doi.org/10.1134/S0021894423030161

Vancouver

Shelukhin VV, Krutko VV, Trusov KV. Filtration of highly miscible liquids based on two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations. Journal of Applied Mechanics and Technical Physics. 2023 Jun;64(3):499-509. doi: 10.1134/S0021894423030161

Author

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. In: Journal of Applied Mechanics and Technical Physics. 2023 ; Vol. 64, No. 3. pp. 499-509.

BibTeX

@article{9dcff4d5454243f395aad868a8d99d93,
title = "Filtration of highly miscible liquids based on two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations",
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.",
keywords = "Cahn–Hilliard equations, Navier–Stokes equations, filtration of miscible fluids, two-scale homogenization",
author = "Shelukhin, {V. V.} and Krutko, {V. V.} and Trusov, {K. V.}",
note = "The work was carried out in accordance with the State Assignment of the Russian Ministry of Science and Higher Education entitled “Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics{"} (Contract No. FZMW-2020-0008). Публикация для корректировки.",
year = "2023",
month = jun,
doi = "10.1134/S0021894423030161",
language = "English",
volume = "64",
pages = "499--509",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Filtration of highly miscible liquids based on two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations

AU - Shelukhin, V. V.

AU - Krutko, V. V.

AU - Trusov, K. V.

N1 - The work was carried out in accordance with the State Assignment of the Russian Ministry of Science and Higher Education entitled “Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics" (Contract No. FZMW-2020-0008). Публикация для корректировки.

PY - 2023/6

Y1 - 2023/6

N2 - 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.

AB - 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.

KW - Cahn–Hilliard equations

KW - Navier–Stokes equations

KW - filtration of miscible fluids

KW - two-scale homogenization

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85168426015&origin=inward&txGid=a6f19a78340e802272988f7fc97d4ca0

UR - https://www.mendeley.com/catalogue/4fe47a13-ae7f-3309-bfe4-43bbc01c33e3/

U2 - 10.1134/S0021894423030161

DO - 10.1134/S0021894423030161

M3 - Article

VL - 64

SP - 499

EP - 509

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 3

ER -

ID: 59618332