Flow near porous media boundaries including inertia and slip: A one-domain approach

This work addresses the macroscopic modeling of flow near porous media boundaries. includes vicinity with a fluid channel (i.e., fracture), another rigid medium, or an impervious non-deformable solid. The analysis is carried out for one-phase, steady, incompressible, inertial, and isothermal Newtonian fluid, considering slip effects at solid–fluid interfaces. A one-domain approach proposed, employing simplified version volume averaging method, while conceiving system as two homogeneous regions separated by inter-region. upscaling procedure yields closed model including divergence-free average (filtration) velocity mass balance equation unique momentum having Darcy structure. latter involves apparent permeability tensors that are constant in position-dependent All determined from solution coupled closure problems part developments. derived validated comparisons direct numerical simulations several two-dimensional configurations, namely, contrasted properties contact fracture, boundaries being either flat wavy medium corrugated solid wall layer. simplicity versatility make it interesting alternative to existing one- two-domain approaches developed so far.