Effective equations for flow in random porous media with a large number of scales

DOI10.1017/S0022112086000939zbMath0606.76106OpenAlexW2103068678MaRDI QIDQ3745537

Jacob Rubinstein

Publication date: 1986

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112086000939

zbMATH Keywords

model of porous mediaBrinkman's equationsextremely dilute systemsFoldy's approximationrandom distribution of identical obstaclesslow viscous fluid

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

Related Items

Asymptotic analysis and error estimates of mixed finite element method for Brinkman model ⋮ The low Reynolds number motion of a porous particle near a plane interface ⋮ Computer simulation study of the effective viscosity in Brinkman’s equation ⋮ On the completeness of the multiple reciprocity series approximation ⋮ Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions ⋮ Bidispersive thermal convection with relatively large macropores ⋮ Computational modeling of moving interfaces between fluid and porous medium domains ⋮ The recirculating flow due to a moving lid on a cavity containing a Darcy-Brinkman medium ⋮ A dusty gas flow model in porous media ⋮ Multi‐scale thermo‐fluid transport in porous media

Cites Work

• On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles
• The Laplacian in regions with many small obstacles: Fluctuations around the limit operator
• On the Boundary Condition at the Surface of a Porous Medium
• Boundary conditions for darcy's flow through porous media
• The drag on a cloud of spherical particles in low Reynolds number flow
• On the Settling Speed of Free and Fixed Suspensions
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers

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