Analysis of the role of structural disorder on the inertial correction to Darcy’s Law
Communication sans acte
Author
LASSEUX, Didier 
AHMADI-SENICHAULT, AzitaABBASIAN ARANI, Ali AkbarAbstract
This work focuses on the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough flow rates leading to a non-linear relationship between the filtration velocity and the pressure gradient. A numerical analysis of the non linear -inertialcorrection to Darcy's law is carried out for model periodic structures made of arrays of square-section cylinders. The global aim is to determine and analyze the effective properties appearing in the macroscopic model resulting from the volume averaging of the mass and momentum (Navier-Stokes) equations at the pore scale
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