Three-dimensional intrinsic convection in dilute and dense dispersions of settling spheres

Physics of Fluids

Volumn 10, Issue 1, 1998, Pages 55-59

  Bruneau, D ^a   Feuillebois, F ^b   Blawzdziewicz, J ^b,d   Anthore, R ^c  

^a University Bordeaux I2M UMR CNRS 5295   (France)

^b ESPCI   (France)

^c UNIVERSITÉ DE ROUEN   (France)

^d INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONVECTION; SEDIMENTATION; SPHERE; SUSPENSION;

CONVECTION; SEDIMENTATION; SPHERES; SUSPENSION;

EID: 0031838561     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869549     Document Type: Article

References (16)

1. C. W. J. Beenakker and P. Mazur, "Is sedimentation container-shape dependent," Phys. Fluids 28, 3203 (1985).
2. U. Geigenmueller and P. Mazur, "Sedimentation of homogeneous suspensions in finite vessels," J. Stat. Phys. 53, 137 (1988).
3. P. Nozières, "A local coupling between sedimentation and convection: Application to the Beenakker-Mazur effect," Physica A 147, 219 (1987).
4. B. U. Felderhof, "Sedimentation and convective flow in suspensions of spherical particles," Physica A 153, 217 (1988).
5. D. Bruneau, F. Feuillebois, R. Anthore, and E. J. Hinch, "Intrinsic convection in a settling suspension," Phys. Fluids 8, 2236 (1996).
6. R. Berker, "Intégration des équations d'un fluide visqueux incompressible," in Handbuch der Physik, edited by S. Flügge (Springer, Berlin, 1963), Vol. VIII/2, p. 1.
7. D. Henderson, F. F. Abraham, and J. A. Barker, "The Ornstein-Zernike equation for a fluid in contact with a surface," Mol. Phys. 31, 1291 (1976).
8. D. Henderson, F. F. Abraham, and J. A. Barker, "The Ornstein-Zernike equation for a fluid in contact with a surface; erratum," Mol. Phys. 32, 1785(E) (1976).
9. Y. Zhou and G. Stell, "Nonlocal integral-equation approximations. I. The zeroth order (hydrostatic) approximation with applications," J. Chem. Phys. 92, 5533 (1990).
10. G. P. Krishnan and D. T. Leighton, Jr., "Shear induced structure in bidisperse suspensions," in Program and extended abstracts of the IUTAM Symposium on Hydrodynamic Diffusion of Suspended Particles, Estes Park, Colorado, USA, edited by R. H. Davis (University of Colorado, Boulder, 1995).
11. J.-P. Hansen and I.R. Mc Donalds, Theory of Simple Liquids (Academic, New York, 1976).
12. W. R. Smith and D. Henderson, "Analytical representation of the Percus-Yevick hard-sphere radial distribution function," Mol. Phys. 19, 411 (1970).
13. J. W. Perram, "Hard sphere correlation functions in the Percus-Yevick approximation," Mol. Phys. 30, 1505 (1975).
14. J. Blawzdziewicz and F. Feuillebois, "Calculation of an effective slip in a settling suspension at a vertical wall," Fluid Mech. Res. 22, 81 (1996).
15. S. C. Jana, B. Kapoor, and A. Acrivos, "Apparent wall slip velocity coefficients in concentrated suspensions on non-colloidal particles," J. Rheol. 39, 1123 (1995).
16. Y. Peysson and E. Guazzelli, "An experimental investigation of the intrinsic convection in a sedimenting suspension," Phys. Fluids 10, 44 (1998).