Nonstationary flow of a viscous fluid through a porous elastic medium: Asymptotic analysis and two-scale convergence

被引：0
|
作者：
Bielski, W. [1 ]
Telega, J.J. [2 ]
Wojnar, R. [2 ]
机构：
[1] Institute of Geophysics, Warsaw, Poland
[2] Institute of Fundamental Technological Research, Warsaw, Poland
来源：
Mechanics Research Communications | / 26卷 / 05期
关键词：
Asymptotic stability - Convergence of numerical methods - Elasticity - Equations of motion - Porous materials - Problem solving - Theorem proving - Viscosity of liquids;
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摘要：
Allaire and Mikelic studied nonstationary flows of Stokesian fluids through undeformed microperiodic media. The first of these authors assumed the scaling of the viscosity while the second author scaled the liquid density. After homogenization they arrived at different Darcy's laws. Darcy's law derived by Allaire is nonlocal in time while that obtained by Mikelic coincides with the well known Darcy's law derived by many authors for stationary flow. In this context, the nonstationary flows of Stokesian fluids through a linear elastic porous medium are investigated to derive macroscopic equations of Biot type.
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页码：619 / 628
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