A Cartesian-tensor solution of the Brinkman equation

DOI10.1007/BF02383599zbMath0663.76116MaRDI QIDQ1115294

P. N. Kaloni, Qin Yu

Publication date: 1988

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

pressureBrinkman equationCartesian tensorsdrag on a porous spherevelocity vector

Mathematics Subject Classification ID

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

Related Items (17)

Creeping flow past a porous approximate sphere - Stress jump boundary condition ⋮ Boundary integral equations for a three-dimensional Brinkman flow problem ⋮ Impact of magnetic field on the flow of a conducting fluid past an impervious spheroid embedded in porous medium ⋮ Flow of a viscous fluid at small Reynolds number past a porous sphere with a solid core ⋮ A note on the suspension viscosity of porous spherical particles ⋮ Hydrodynamic permeability of membranes built up by spherical particles covered by porous shells: effect of stress jump condition ⋮ Arbitrary oscillatory Stokes flow past a porous sphere using Brinkman model ⋮ Slow motion of a porous cylindrical shell in a concentric cylindrical cavity ⋮ Stokes flow past a porous spheroid embedded in another porous medium ⋮ A non-Newtonian liquid sphere embedded in a polar fluid saturated porous medium: Stokes flow ⋮ Stream function solution of the Brinkman equation in parabolic cylindrical coordinates ⋮ Boundary integral equations for two-dimensional low Reynolds number flow past a porous body ⋮ Stokes flow past a swarm of porous approximately spheroidal particles with Kuwabara boundary condition ⋮ An extension of Cartesian tensor solution of Stokes equations to axisymmetric particles ⋮ Creeping flow of micropolar fluid past a porous sphere ⋮ CREEPING FLOW PAST A POROUS APPROXIMATELY SPHERICAL SHELL: STRESS JUMP BOUNDARY CONDITION ⋮ Stokes flow past a porous sphere using Brinkman's model

Cites Work

• A cartesian-tensor solution of the viscous creeping-motion equations
• On the calculation of Stokes' flow past porous particles
• Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects
• An averaged-equation approach to particle interactions in a fluid suspension
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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