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Suspensions of prolate spheroids in Stokes flow. Part 1. Dynamics of a finite number of particles in an unbounded fluid

Published online by Cambridge University Press:  26 April 2006

Ivan L. Claeys  and
John F. Brady
Ivan L. Claeys
Affiliation:
Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA Present address: Solvay Research & Technology, rue de Ransbeek 310, 1120 Brussels, Belgium.
John F. Brady
Affiliation:
Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

A new simulation method is presented for low-Reynolds-number flow problems involving elongated particles in an unbounded fluid. The technique extends the principles of Stokesian dynamics, a multipole moment expansion method, to ellipsoidal particle shapes. The methodology is applied to prolate spheroids in particular, and shown to be efficient and accurate by comparison with other numerical methods for Stokes flow. The importance of hydrodynamic interactions is illustrated by examples on sedimenting spheroids and particles in a simple shear flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 251 , June 1993 , pp. 411 - 442
Copyright
© 1993 Cambridge University Press

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