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A note on two boundary integral formulations for particle mobilities in Stokes flow

Published online by Cambridge University Press:  26 April 2006

Sangtae Kim  and
Henry Power
Sangtae Kim
Affiliation:
Department of Chemical Engineering, University of Wisconsin, Madison, WI 53706, USA
Henry Power
Affiliation:
Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton SO4 2AA, UK Permanent address: Instituto de Mecanica de Fluidos, Universidad Central de Venezeula, Caracas, Venezuela.
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Abstract

We show that a recent publication by Liron & Barta (1992) concerning a single-layer boundary integral equation for the tractions is mathematically equivalent to Karrila & Kim's (1989) Riesz method. In actual computational schemes, the second viewpoint is preferable since the integral operator has a spectral radius less than one and even large problems can be solved by fast iterative methods.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 257 , December 1993 , pp. 637 - 639
Copyright
© 1993 Cambridge University Press

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References

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