Hydrodynamic transport properties of hard-sphere dispersions. II. Porous media
- Creators
- Phillips, R. J.
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Brady, J. F.
- Bossis, G.
Abstract
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 determined. 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 porous media—permeabilities and hindered diffusion coefficients—are determined here. The corresponding properties of freely mobile suspensions are determined in a companion paper [Phys. Fluids 31, 3462 (1988)].
Additional Information
© 1988 American Institute of Physics. Received 8 March 1988; accepted 24 August 1988. We would like to thank our colleague L. Durlofsky for useful discussions on the application of Stokesian dynamics to porous media. 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.Files
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Additional details
- Eprint ID
- 9974
- Resolver ID
- CaltechAUTHORS:PHIpof88b
- Created
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2008-04-01Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field