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Hydrodynamic transport properties of hard-sphere dispersions. II. Porous media
The hydrodynamic transport properties of hard-sphere dispersions are calculated for volume fractions () spanning the dilute limit up to the fluid–solid transition at =0.49. Particle distribution...

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

Phys. Fluids 31, 3462 (1988); doi:10.1063/1.866914

Issue Date: December 1988

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R. J. Phillips and J. F. Brady
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125

G. Bossis
Laboratoire de Physique de la Matière Condensée, Université de Nice, Parc Valrose, 06034 Nice Cedex, France
The hydrodynamic transport properties of hard-sphere dispersions are calculated for volume fractions (phi) spanning the dilute limit up to the fluid–solid transition at phi=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, xxxx (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. Physics of Fluids is copyrighted by The American Institute of Physics.
History: Received 8 March 1988; accepted 24 August 1988
Permalink: http://dx.doi.org/10.1063/1.866914
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KEYWORDS and PACS

Keywords
PACS
  • 66.20.+d
    Transport properties of condensed matter (nonelectronic) Diffusive momentum transport (including viscosity of liquids)
  • 05.60.+w
    Statistical physics and thermodynamics Transport processes: theory
  • 51.10.+y
    Kinetic and transport theory of fluids; physical properties of gases Kinetic and transport theory
  • 47.15.Gf
    Fluid dynamics Laminar flows Low-Reynolds-number (creeping) flows
  • YEAR: 1988

PUBLICATION DATA

ISSN:
0031-9171 (print)   1089-7666 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (37)
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