Momentum transport in the free fluid-porous medium transition layer: one-domain approach

In this work, we consider the momentum transport of a incompressible fluid in like Beavers and Joseph (1967) system. For purpose, context volume averaging method, use one-domain approach (ODA). Thus, generalized equations (GTE), which are written terms position-dependent effective medium coefficients, valid everywhere system contains two Brinkman corrections addition to Darcy’s term. The ODA predictions tested against results obtained from local profiles resulting pore-scale simulations. One key points for solving remains on prediction permeability, work is either by associated closure problem or profiles. Our analysis shows that GTE accurately predicts average velocity To end, first second Brinkman’s corrections, as well intrinsic permeability tensor term must be included.