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

Claeys, Ivan L. and Brady, John F. (1993) Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions. Journal of Fluid Mechanics, 251 . pp. 443-477. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:CLAjfm93b

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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.


Item Type:Article
Additional Information:Copyright © 1993 Cambridge University Press. Reprinted with permission. (Received 14 August 1991 and in revised form 18 December 1992)
Record Number:CaltechAUTHORS:CLAjfm93b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CLAjfm93b
Alternative URL:http://dx.doi.org/10.1017/S0022112093003477
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10718
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:05 Jun 2008
Last Modified:26 Dec 2012 10:04

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