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

• R. J. Phillips

  Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125

• 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

抄録

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, 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.

収録刊行物

• The Physics of Fluids

  The Physics of Fluids 31 (12), 3462-3472, 1988-12-01

  AIP Publishing

キーワード

• General Engineering

詳細情報

• CRID: 1363107369302180352
• NII論文ID: 30015737827
• DOI: 10.1063/1.866914
• ISSN: 00319171
• Web Site: https://pubs.aip.org/aip/pfl/article-pdf/31/12/3462/12343027/3462_1_online.pdf
• データソース種別:
  • Crossref
  • CiNii Articles