Abstract
The present study investigates the hydrodynamics of a lid-driven flow saturated with non-Darcy anisotropic porous media. The Reynolds numbers considered for the study are 10, 100, and 1000. The effect of the Darcy number (10-5 ≤ Da ≤ 10-2) and porosity (ε = 0.3 and 0.6) have been varied to analyze the permeability ratio (K* = 0.1, 1, and 10), Forchheimer constants ratio (F* = 1, 10, and 100), and principal axes inclination (θ = 0°, 45°, and 90°) on the flow behavior. A semi-implicit method for pressure-linked equations algorithm–based finite-volume method has been employed to solve the governing equations. Quadrilateral cells in a collocated grid arrangement have been considered. The flow physics has been interpreted by plotting the results in terms of streamlines and maximum stream function values. The study reveals that with an increase in the Reynolds number the influence of nonlinear drag forces becomes significant. Also, it is observed that the anisotropic parameters of the non-Darcy porous media profoundly modulate the flow.
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