FILTRATION OF HIGHLY MISCIBLE LIQUIDS BASED ON TWO-SCALE HOMOGENIZATION OF THE NAVIER–STOKES AND CAHN–HILLIARD EQUATIONS
V. V. Shelukhin, Vladislav Krutko, Konstantin V. Trusov · Journal of Applied Mechanics and Technical Physics · 2023
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.