Vol 51, No 3-4 (1999)

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Macroscopic equations for nonstationary flow of Stokesian fluid through porous elastic medium

W. Bielski, J.J. Telega, R. Wojnar

Arch. Mech. 51 (3-4), 243-274, 1999

Keywords:


Abstract


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. It is shown that Darcy's law is noulocal in time.

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