Abstract
A direct numerical simulation has been carried out to investigate viscous flow in an anisotropic porous medium. A collection of square rods placed in an infinite two-dimensional space has been proposed as a numerical model of microscopic porous structure. The degree of anisotropy was varied by dislocating alternate rows of square rods. Extensive calculations were carried out for various sets of the macroscopic flow angle, Reynolds number, porosity and degree of anisotropy. The numerical results thus obtained were integrated over space to determine the directional permeability from a purely theoretical. The predicted directional permeability closely follows the formula proposed by Scheidegger.
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