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Suspensions of prolate spheroids in Stokes flow. Part 3. Hydrodynamic transport properties of crystalline 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 short-time limit of the hydrodynamic transport properties is calculated for crystalline dispersions of parallel prolate spheroids using a moment expansion technique similar in concept to the simulation method known as Stokesian dynamics. The concentration dependence of the sedimentation rate, the hindered diffusivity and the Theological behaviour of face-centred lattices are examined for concentrations up to regular close packing (74% by volume). The influence of the detailed microstructure of the dispersion is also investigated by considering different arrangements of parallel ellipsoids. Useful reference configurations are proposed as standard geometries for regular arrays of prolate spheroids.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 251 , June 1993 , pp. 479 - 500
Copyright
© 1993 Cambridge University Press

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