On the macroscopic description of slow viscous flow past a random array of spheres

DOI10.1007/BF01011910zbMath0629.76104MaRDI QIDQ1094273

Jacob Rubinstein

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

random mediaStokes equationmicroscopic flowpoint-sources approximationrigorous derivation of Brinkman's equationslow viscous flow in porous mediaspherical obstacles

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Partial differential equations of mathematical physics and other areas of application (35Q99)

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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
• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
• An averaged-equation approach to particle interactions in a fluid suspension
• The drag on a cloud of spherical particles in low Reynolds number flow
• Slow flow through stationary random beds and suspensions of spheres
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
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