Structure, density, and velocity fluctuations in quasi-two-dimensional non-Brownian suspensions of spheres

Physics of Fluids

Volumn 12, Issue 5, 2000, Pages 958-963

  Rouyer, F ^a   Lhuillier, D ^a   Martin, J ^a   Salin, D ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY; LIQUID-SOLID FLUIDIZED BED; STRUCTURE; TWO-DIMENSIONAL FLOW; VELOCITY;

EID: 0034124942     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870350     Document Type: Article

References (20)

1. J. M. Ham and G. M. Homsy, "Hindered settling and hydrodynamic dispersion in quiescent suspension," Int. J. Multiphase Flow 14, 533 (1988).
2. R. H. Davis and M. A. Hassen, "Spreading of the interface at the top of a slightly polydisperse sedimenting suspension," J. Fluid Mech. 196, 107 (1988).
3. J. Martin, N. Rakotomalala, and D. Salin, "Hydrodynamic dispersion of non-colloidal suspensions: Measurement from Einstein's argument," Phys. Rev. Lett. 74, 1347 (1995).
4. 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).
5. A. J. C. Ladd, "Sedimenting of homogeneous suspensions of non-Brownian spheres," Phys. Fluids 9, 491 (1997).
6. P. N. Segre, E. Herbolzheimer, and P. M. Chaikin, "Long-range correlations in sedimentation," Phys. Rev. Lett. 79, 2574 (1997).
7. G. K. Batchelor, "Sedimentation in a dilute dispersion of spheres," J. Fluid Mech. 52, 245 (1972).
8. R. E. Caflisch and J. H. C. Luke, "Variance in sedimentation speed of a suspension," Phys. Fluids 28, 759 (1985).
9. E. J. Hinch, Disorder and Mixing (Kluwer Academic, Dordrecht, 1998), p. 153.
10. D. Bruneau, F. Feuillebois, J. Blawzdziewick, and R. Anthore, "Three-dimensional intrinsic convection in dilute and dense dispersion of settling spheres," Phys. Fluids 10, 55 (1998).
11. J. Z. Xue, E. Herbolzheimer, M. A. Rutgers, W. B. Russel, and P. M. Chaikin, "Diffusion, dispersion and settling of hard spheres," Phys. Rev. Lett. 69, 1715 (1992).
12. H. Nicolai and E. Guazzelli, "Effect of the vessel size on the hydrodynamic diffusion of sedimenting spheres," Phys. Fluids 7, 3 (1995).
13. L. Talini, J. Leblond, and F. Feuillebois, "A pulse field gradient NMR technique for the determination of the structure of suspensions of non-Brownian particles with application to packings of spheres" J. Magn. Reson. 132, 287 (1998).
14. D. L. Koch and E. S. G. Shaqfeh, "Screening in sedimenting suspensions," J. Fluid Mech. 224, 275 (1991).
15. M. P. Brenner, "Screening mechanisms in sedimentation," Phys. Fluids 11, 754 (1999).
16. T. M. Truskett, S. Torquato, S. Sastry, P. G. Debenedetti, and F. H. Stillinger, Phys. Rev. E 58, 3083 (1998).
17. N. F. Carnahan and K. E. Stirling, "Equation of state for nonattracting rigid spheres," J. Chem. Phys. 51, 635 (1969).
18. M. Baus and J. L. Colot, "Thermodynamics and structure of a fluid of hard rods, disks, spheres or hyperspheres from rescaled virial expansion," Phys. Rev. A 36, 3912 (1987).
19. J. P. Hansen and I. R McDonald, Theory of Simple Liquid (Academic, New York, 1976).
20. F. Rouyer, J. Martin, and D. Salin, "Non-Gaussian dynamics in quasi-2D noncolloidal suspensions," Phys. Rev. Lett. 83, 1058 (1999).