The low Reynolds number motion of a porous particle near a plane interface

DOI10.1016/S0307-904X(96)00089-3zbMath0887.76077MaRDI QIDQ1364534

O. Diekmann

Publication date: 1 June 1998

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

creeping flowinternal flowexternal flowBrinkman integral representation formulaeffect of fluid stratification on velocityStokes integral representation formula

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (1)

Axisymmetric flow through a permeable near-sphere

Cites Work

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• Integral equation solution for the flow due to the motion of a body of arbitrary shape near a plane interface at small Reynolds number
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• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Analysis of the Brinkman equation as a model for flow in porous media
• A study of linearized oscillatory flow past particles by the boundary-integral method
• Motion of a sphere in the presence of a plane interface. Part 2. An exact solution in bipolar co-ordinates
• The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
• On the calculation of Stokes' flow past porous particles
• Stokes flow past a particle of arbitrary shape: a numerical method of solution
• Action of a force near the planar surface between two semi-infinite immiscible liquids at very low Reynolds numbers
• The motion of a rigid body in viscous fluid bounded by a plane wall
• The Effect of Permeability on the Slow Motion of a Porous Sphere in a Viscous Liquid
• The drag on a cloud of spherical particles in low Reynolds number flow
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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