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Motion of a rigid particle in Stokes flow: a new second-kind boundary-integral equation formulation

Published online by Cambridge University Press:  26 April 2006

Nadav Liron  and
Efrath Barta
Nadav Liron
Affiliation:
Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel
Efrath Barta
Affiliation:
Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel
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Abstract

A new singular boundary-integral equation of the second kind is presented for the stresses on a rigid particle in motion in Stokes flow. The integral equation is particularly suitable for the mobility problem – when the forces and moments on the particle are given. A generalized Faxén law is also presented. The power of the method is demonstrated by easily reproducing known results as well as new ones, both analytically and numerically, in infinite medium as well as in confined regions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 238 , May 1992 , pp. 579 - 598
Copyright
© 1992 Cambridge University Press

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