Abstract
We investigate the filtration law in rigid non-galilean porous media of incompressible viscous Newtonian fluids. The filtration law is obtained by upscaling the flow from the pore scale. We use the method of multiple scale expansions which gives rigorously the macroscopic behaviour without any prerequisite at the macroscopic scale. For finite Ekman numbers the filtration law is shown to resemble a Darcy's law, but with a non-symmetric permeability tensor which depends on the angular velocity of the porous matrix. For large Ekman numbers the filtration law is a small correction to the classical Darcy's law. The corrector is antisymmetric. In this case we recover a similar structure of law to phenomenologic laws introduced in the literature, but with a dissimilar effective coefficient.
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