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Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions

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

The simulation method for prolate spheroids in Stokes flow introduced in a companion paper (Claeys & Brady 1993a) is extended to handle statistically homogeneous unbounded dispersions. The convergence difficulties associated with the slow decay of velocity disturbances at zero Reynolds number are overcome by applying O';Brien's renormalization procedure. The Ewald summation technique is employed to accelerate the evaluation of all mobility interactions. As a first application of this new method, the hydrodynamic transport properties of equilibrium hard-ellipsoid structures are calculated for aspect ratios ranging from 3 to 50. Calculated viscosities in the isotropic phase agree reasonably well with published experimental measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 251 , June 1993 , pp. 443 - 477
Copyright
© 1993 Cambridge University Press

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