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Some Stokes flows exterior to a spherical boundary

Published online by Cambridge University Press:  26 February 2010

R. Shail  and
S. H. Onslow
R. Shail
Affiliation:
Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 5XH
S. H. Onslow
Affiliation:
The Royal Aircraft Establishment, Farnborough, Hants.
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Abstract

Sphere Theorems are employed to solve two asymmetric singularity-driven flows of a fluid exterior to a rigid spherical surface. The flows are generated by a rotlet and Stokeslet respectively whose axes are perpendicular to the sphere radius produced drawn through their locations. The flow details are analysed and the forces and couples acting on the sphere are calculated. The Stokeslet solution is also used to compute an approximation to the drag force experienced by a particle which sediments in the fluid in a direction perpendicular to a sphere radius.

Type
Research Article
Information
Mathematika , Volume 35 , Issue 2 , December 1988 , pp. 233 - 246
Copyright
Copyright © University College London 1988

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