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Journal of Applied Mechanics and Technical Physics

2021 year, number 4

Homogenization of Equations for Miscible Fluids

Y. Amirat1, V. V. Shelukhin2,3
1University of Auvergne, Clermont-Ferrand, France
2Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
3Altai State University, Barnaul, Russia
Keywords: Navier-Stokes equations, Cahn-Hilliard equations, filtration of miscible fluids, two-scale homogenization


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.