Y. Amirat, V. V. Shelukhin, “Homogenization of equations for miscible fluids”, Prikl. Mekh. Tekh. Fiz., 2021, Volume 62, Issue 4,Pages <nobr>191

This article is cited in 4 papers

Homogenization of equations for miscible fluids

Y. Amirat^a, V. V. Shelukhin^bc

^a University of Auvergne, Clermont-Ferrand 63177, France
^b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
^c Altai State University, 656049, Barnaul, Russia

Abstract: 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.

Keywords: Navier–Stokes equations, Cahn–Hilliard equations, filtration of miscible fluids, two-scale homogenization.

UDC: 532.546

Received: 11.05.2021
Revised: 11.05.2021
Accepted: 31.05.2021

DOI: 10.15372/PMTF20210419