Sedimentation of homogeneous suspensions of non-Brownian spheres

Dynamical simulations of bulk sedimentation have been carried out, using up to 32 000 solid particles. There is no evidence that the long-range hydrodynamic interactions are screened by changes in the pair correlation function at large distances. Instead the velocity fluctuations and diffusion coefficients diverge linearly with the width of the container, consistent with the random long-range microstructures observed in the simulations. Our data suggest that other mechanisms must be uncovered to account for experimental observations.

[1]  G. Batchelor,et al.  The hydrodynamic interaction of two small freely-moving spheres in a linear flow field , 1972, Journal of Fluid Mechanics.

[2]  G. Batchelor Sedimentation in a dilute dispersion of spheres , 1972, Journal of Fluid Mechanics.

[3]  C. W. J. Beenakker,et al.  Is sedimentation container-shape dependent? , 1985 .

[4]  Russel E. Caflisch,et al.  Variance in the sedimentation speed of a suspension , 1985 .

[5]  Anthony J. C. Ladd,et al.  Hydrodynamic interactions in a suspension of spherical particles , 1988 .

[6]  Anthony J. C. Ladd,et al.  Hydrodynamic transport coefficients of random dispersions of hard spheres , 1990 .

[7]  Eric S. G. Shaqfeh,et al.  Screening in sedimenting suspensions , 1991, Journal of Fluid Mechanics.

[8]  Chaikin,et al.  Diffusion, dispersion, and settling of hard spheres. , 1992, Physical review letters.

[9]  A. Ladd Dynamical simulations of sedimenting spheres , 1993 .

[10]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[11]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results , 1993, Journal of Fluid Mechanics.

[12]  D. Koch Hydrodynamic diffusion in a suspension of sedimenting point particles with periodic boundary conditions , 1994 .

[13]  Elisabeth Guazzelli,et al.  EFFECT OF THE VESSEL SIZE ON THE HYDRODYNAMIC DIFFUSION OF SEDIMENTING SPHERES , 1995 .

[14]  Behrend Solid-fluid boundaries in particle suspension simulations via the lattice Boltzmann method. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  E. J. Hinch,et al.  Particle velocity fluctuations and hydrodynamic self-diffusion of sedimenting non-Brownian spheres , 1995 .

[16]  Ladd Hydrodynamic screening in sedimenting suspensions of non-Brownian spheres. , 1996, Physical review letters.