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Hydrodynamic transport properties of hard-sphere dispersions. I. Suspensions of freely mobile particles

Phillips, R. J. and Brady, J. F. and Bossis, G. (1988) Hydrodynamic transport properties of hard-sphere dispersions. I. Suspensions of freely mobile particles. Physics of Fluids, 31 (12). pp. 3462-3472. ISSN 0031-9171. doi:10.1063/1.866914.

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The hydrodynamic transport properties of hard-sphere dispersions are calculated for volume fractions (φ) spanning the dilute limit up to the fluid–solid transition at φ=0.49. Particle distributions are generated by a Monte Carlo technique and the hydrodynamic interactions are calculated by Stokesian dynamics simulation. The effects of changing the number of particles in the simulation cell are investigated, and the scaling laws for the finite-size effects are derived. The effects of using various levels of approximation in computing both the far- and near-field hydrodynamic interactions are also examined. The transport properties associated with freely mobile suspensions—sedimentation velocities, self-diffusion coefficients, and effective viscosities—are determined here, while the corresponding properties of porous media are determined in a companion paper [Phys. Fluids 31, 3473 (1988)]. Comparison of the simulation results is made with both experiment and theory. In particular, the short-time self-diffusion coefficients and the suspension viscosities are in excellent agreement with experiment.

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Brady, J. F.0000-0001-5817-9128
Additional Information:© 1988 American Institute of Physics. Received 8 March 1988; accepted 24 August 1988. We wish to thank our colleague L. Durlofsky for helpful discussions on the Stokesian dynamics method and on the role of induced stresslets in suspension mechanics. This research was supported in part by National Science Foundation Grants No. CBT-8696067 and No. INT-8413695. Computer time was provided by the von Neuman Supercomputer Center. RJP would also like to acknowledge the support of a NSF fellowship.
Issue or Number:12
Record Number:CaltechAUTHORS:PHIpof88a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9973
Deposited By: Tony Diaz
Deposited On:01 Apr 2008
Last Modified:08 Nov 2021 21:03

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