Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions
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)
p1 Present address: Solvay Research & Technology, rue de Ransbeek 310, 1120 Brussels, Belgium.