Sedimentation of homogeneous suspensions of non-Brownian spheres

Physics of Fluids

Volumn 9, Issue 3, 1997, Pages 491-499

  Ladd, Anthony J C ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; SEDIMENTATION; SUSPENSIONS;

HYDRODYNAMICS; SEDIMENTATION; SUSPENDED SEDIMENT;

EID: 0030745218     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869212     Document Type: Article

References (16)

1. R. E. Caflisch and J. H. C. Luke, "Variance in the sedimentation speed of a suspension," Phys. Fluids 28, 759 (1985).
2. H. Nicolai and E. Guazzelli, "Effect of the vessel size on the hydrodynamic diffusion of sedimenting spheres," Phys. Fluids 7, 3 (1995).
3. D. L. Koch and E. S. G. Shaqfeh, "Screening in sedimenting suspensions" J. Fluid Mech. 224, 275 (1991).
4. A. J. C. Ladd, "Hudrodynamic screening in sedimenting suspensions of non-Brownian spheres," Phys. Rev. Lett. 76, 1392 (1996).
5. J. Z. Xue, E. Herbolzheimer, M. A. Rutgers, W. B. Russel, and P. M. Chaiken, "Diffusion, dispersion, and settling of hard spheres," Phys. Rev. Lett. 69, 1715 (1992).
6. H. Nicolai, B. Herzhaft, E. J. Hinch, L. Oger, and E. Guazzelli, "Particle velocity fluctuations and hydrodynamic self-diffusion of sedimenting non-Brownian spheres," Phys. Fluids 7, 12 (1995).
7. G. K. Batchelor, "Sedimentation in a dilute dispersion of spheres," J. Fluid Mech. 52, 245 (1972).
8. C. W. J. Beenakker and P. Mazur, "Is sedimentation container-shpe dependent?," Phys. Fluids 28, 3203 (1985).
9. A. J. C. Ladd, "Dynamical simulations of sedimenting spheres," Phys. Fluids A 5, 299 (1993).
10. A. J. C. Ladd, "Numerical simulations of particulate suspensions via a discretized Boltzmann equation Part 1. Theoretical foundation," J. Fluid Mech. 271, 285 (1994).
11. A. J. C. Ladd, "Numerical simulations of particulate suspensions via a discretized Boltzmann equation Part II. Numerical results," J. Fluid Mech. 271, 311 (1994).
12. O. P. Behrend, "Solid-fluid boundaries in particle suspension simulations via the lattice-Boltzmann method," Phys. Rev. E 52, 1164 (1995).
13. G. K. Batchelor and J. T. Green, "The hydrodynamic interaction of two small freely-moving spheres in a linear flow field," J. Fluid Mech. 56, 375 (1972).
14. D. L. Koch, "Hydrodynamic diffusion in a suspension of sedimenting point particles with periodic boundary conditions," Phys. Fluids 6, 2894 (1994).
15. A. J. C Ladd, "Hydrodynamic interactios in a suspension of spherical particles," J. Chem. Phys. 88, 5051 (1988).
16. A. J. C Ladd, "Hydrodynamic transport coefficients of random dispersions of hard spheres," J. Chem. Phys. 93, 3484 (1990).