Journal of Fluid Mechanics



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


Ivan L.  Claeys a1p1 and John F.  Brady a1
a1 Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA

Article author query
claeys il   [Google Scholar] 
brady jf   [Google Scholar] 
 

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.

(Published Online April 26 2006)
(Received August 14 1991)
(Revised December 18 1992)


Correspondence:
p1 Present address: Solvay Research & Technology, rue de Ransbeek 310, 1120 Brussels, Belgium.


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