The planar singular solutions of Stokes and Laplace equations and their application to transport processes near porous surfaces

DOI10.1063/1.857544zbMath0701.76095OpenAlexW2015775780MaRDI QIDQ3479716

S. Behl, Ashok S. Sangani

Publication date: 1989

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://surface.syr.edu/bce/15

zbMATH Keywords

transport problemsapproximate continuum theoriesplanar singular solutionssemi-infinite periodic arrays of spheres

Mathematics Subject Classification ID

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Cites Work

• On the Boundary Condition at the Surface of a Porous Medium
• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• Viscosity renormalization in the Brinkman equation
• Slow flow through a periodic array of spheres
• Stokes flow through periodic arrays of spheres
• Modelling of porous media by renormalization of the Stokes equations
• Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow
• Microscopic flow near the surface of two-dimensional porous media. Part 2. Transverse flow
• Transport processes in random arrays of cylinders. I. Thermal conduction
• Transport processes in random arrays of cylinders. II. Viscous flow
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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