Extended Darcy–Forchheimer law including inertial flow deflection effects

• DOI: 10.1017/jfm.2023.1083
• Publication Date: 2024-01-31T08:16:56Z
• Authors: Mostafa Aghaei-Jo...; Jung-Hee Seo; Sasindu Pinto; Louis Cattafesta; Charles Meneveau; Rajat Mittal
• Keywords: Darcy's law

Recent advances in manufacturing techniques are providing porous media with both high permeability, necessary for effective passive flow control, and structural strength, essential engineering applications. We therefore examine the predictive accuracy of standard Darcy–Forchheimer (DF) law, which is often used to model flows, inclusion Reynolds numbers (Re) ranging from low linear regime nonlinear where unsteady effects such as vortex shedding become evident. consider two different shapes, square circular, three arrangements inclusions – inline, staggered random. The numerical simulations show that DF law performs well low-Re irrespective configuration. For intermediate/high-Re adequate only when arrangement highly However, regularly arranged topologies or less random geometries at DF-law performance diminishes significantly due sheltering redirection (‘inertial deflection’) arise inertia, separation wake inclusions. It shown permeability tensor independent orientation, does not capture effects. modified by allowing Forchheimer depend on orientation respect principal geometrical directions geometry, examined this extended these flows.