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

Journal Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944
Output data Year: 2023, Volume: 64, Number: 3, Pages: 499-509 Pages count : 11 DOI: 10.1134/s0021894423030161
Tags Navier–Stokes equations, Cahn–Hilliard equations, filtration of miscible fluids, twoscale homogenization
Authors Shelukhin V.V. 1 , Krutko V.V. 2 , Trusov Konstantin V. 3
Affiliations
1 Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2 Gazpromneft NTT, St. Petersburg, Russia
3 Novosibirsk National Research State University, Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0002

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.
Cite: 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
Journal of Applied Mechanics and Technical Physics. 2023. V.64. N3. P.499-509. DOI: 10.1134/s0021894423030161 WOS Scopus РИНЦ OpenAlex
Original: Шелухин В.В. , Крутко В.В. , Трусов К.В.
ФИЛЬТРАЦИЯ СИЛЬНО СМЕШИВАЕМЫХ ЖИДКОСТЕЙ НА ОСНОВЕ ДВУХМАСШТАБНОЙ ГОМОГЕНИЗАЦИИ УРАВНЕНИЙ НАВЬЕ-СТОКСА И КАНА-ХИЛЛИАРДА
Прикладная механика и техническая физика. 2023. Т.64. №3 (379). С.161-173. DOI: 10.15372/PMTF202215138 РИНЦ OpenAlex
Identifiers:
Web of science: WOS:001052954700016
Scopus: 2-s2.0-85168426015
Elibrary: 62515221
OpenAlex: W4386035751
Citing:
DB Citing
OpenAlex 1
Scopus 1
Web of science 1
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