Perturbation solution of the coupled Stokes-Darcy problem
type: Item
instance of: scholarly article
title: Perturbation solution of the coupled Stokes-Darcy problem
zbMATH Open document ID: 1222.35142
author: Sondes Khabthani
author: F. Feuillebois
author: L. Elasmi
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2011-07-08T00:00:00Z
review text: Microfiltration of particles is modelled by the motion of particles embedded in a Stokes flow near a porous membrane in which Darcy equations apply. Stokes flow also applies on the other side of the membrane. A pressure gradient is applied across the membrane. This coupled Stokes-Darcy problem is solved by a perturbation method, considering that the particle size is much larger than the pores of the membrane. The method is applied to the example case of a spherical particle moving normal to a membrane. The solution, limited here to an impermeable slip surface (described from 3rd order expansion), uses as an intermediate step the boundary integral technique for Stokes flow near an impermeable surface with a no-slip boundary condition. Results of the perturbation solution are in good agreement with O'Neill and Bhatt analytical solution for this case.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76T20
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 5919121
zbMATH Keywords: porous membrane
zbMATH Keywords: Green's functions
zbMATH Keywords: boundary integral technique
zbMATH Keywords: impermeable surface
describes a project that uses: BEMLIB
MaRDI profile type: Publication
full work available at URL: dcdsb.2011.15.971
OpenAlex ID: W2335242604
DOI: 10.3934/DCDSB.2011.15.971
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description: scientific article; zbMATH DE number 5919121