The role of inertia on fluid flow through disordered porous media

摘要: Abstract We study the fluid flow through disordered porous media by numerically solving complete set of Navier–Stokes equations in a two-dimensional lattice with spatially random distribution solid obstacles (plaquettes). simulate viscous and non-viscous these idealized pore spaces to determine origin deviations from classical Darcy's law behavior. Due nonlinear contribution inertia transport momentum at scale, we observe typical departure sufficiently high Reynolds numbers. Moreover, show that Forchheimer equation provides valid phenomenological model correlate variations friction factor over wide range conditions.