A volume averaging approach is used to estimate the porous media permeability. Contrary to traditional methods that rely on solving the Navier–Stokes equations for laminar flow, this approach has the advantage that it does not require the specification of some physical conditions and...

This paper focuses on the reaction-diffusion problem in a disordered porous medium. The objective is to obtain an effective medium description of the concentration dynamics having a fractional Cattaneo's law equation as the flux constitutive equation. The methodology is based on a volume...

Up-scaling of the Stokes equations with non-slip boundary condition describing the flow in a porous medium, leads to the Darcy–Brinkman equationɛβμβvD,β=-Kβ·(∇Pm,β-ρβg)+Kβ·μβ∇2vD,β.The second-order term -μβ∇2vD,β recovers the viscous drag effects and uses the fluid...

This paper studies reaction–diffusion phenomena in disordered porous media with non-Fickian diffusion effects. The aim is to obtain an effective medium equation of the concentration dynamics having a fractional Fick's law description for the particles flux. Since the methodology is based on a...