Abstract

A system of equations of motion of a viscous fluid (with a small coefficient of viscosity) in a periodic porous medium is considered. The ratio of the period of the structure of the medium to the characteristic dimension of the problem is a small parameter. The pore size and period of the structure are of the same order of magnitude. A formal asymptotic solution is constructed and an averaged equation, which is an analogue of the Boussinesq equation, is derived.

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