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

• Autorzy: Bielski W. , Telega J. , Wojnar R.
• Języki publikacji: EN

Abstrakty

EN

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 nonlocal in time.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 1999
• Tom: Vol. 51, nr 3-4
• Strony: 243--274
• Opis fizyczny: Bibliogr. 52 poz.,

Twórcy

autor

Bielski W.

autor

Telega J.

autor

Wojnar R.

• Institute of Geophysics, Warsaw, Poland