Investigation of Post-Darcy Flow in Thin Porous Media

Abstract We present numerical simulations of post-Darcy flow in thin porous medium: one consisting staggered arrangements circular cylinders and random distribution bounded between walls. The span a range Reynolds numbers, 40 to 4000, where the pressure drop varies nonlinearly with average velocity, covering nonlinear laminar fully turbulent regime. results are compared those obtained by replacing bounding walls symmetric boundaries aim reveal effect on microscopic characteristics macroscopic measures, i.e., drop, hydrodynamic dispersion stresses. use large eddy simulation directly calculate stresses intensity. show that vortical structures emerge at boundary causing difference confined non-confined media. This affects averaged values Finally, distance is altered particle number kept constant. It observed calculated cases increases when narrower.