Macroscopic equations for nonstationary flow of Stokesian fluid through porous elastic medium
W. Bielski, J.J. Telega, R. Wojnar · Archives of Mechanics · 1999
The aim of this contribution is to apply homogenization methods in order to describe the nonstationary flow of a viscous fluid through a microperiodic porous elastic medium. By using the method of two-scale asymptotic expansions, the macroscopic phenomenological equations describing such a two-phase structure are derived and the formulae for the effective mechanical coefficients are given. The asymptotic approach is justified by the two-scale convergence