Abstract

Numerical simulations of channel flow with a partly filled porous medium made of cylinders were carried out using exact geometry of the porous medium. The results obtained from these simulations were compared with the analytical solutions obtained with the three hydrodynamic interface conditions used at the interface of a clear fluid and a porous medium. Three hydrodynamic interface conditions considered in this study were the slip condition, the stress continuity condition and the stress jump condition. These interface conditions were applied at various assumed locations and the performances of these conditions were evaluated by comparing with the results obtained from the numerical simulations. The numerical simulations were carried out by varying the geometry, the arrangement of the cylinders, and the porosity of the porous medium. The velocity profile in the clear fluid region is accurately modeled by all the three interface conditions. The velocity profile in the transition layer obtained using the stress jump condition at the interface is observed to be closer to the present numerical simulation results compared to the velocity profiles developed using the other two interface conditions for every configuration of the porous medium at every interface location.

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