The sedimentation velocity of dilute suspensions of nearly monosized spheres

International Journal of Multiphase Flow

Volumn 25, Issue 4, 1999, Pages 559-574

  Di Felice, R ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

Hindered settling velocity; Inertial flow regime; Multiparticle dilute suspension; Viscous flow regime

Indexed keywords

NEWTONIAN LIQUIDS; NUMERICAL METHODS; PARTICLE SIZE ANALYSIS; REYNOLDS NUMBER; SUSPENSIONS (FLUIDS); VISCOUS FLOW;

HINDERED SETTLING VELOCITY; INERTIAL FLOW REGIME; MONOSIZED SPHERES; MULTIPARTICLE DILUTE SUSPENSIONS; RICHARDSON-ZAKI EQUATION;

SEDIMENTATION;

SEDIMENTATION; SPHERE; SUSPENSION; VELOCITY;

EID: 0032869943     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(98)00084-6     Document Type: Article

References (30)

1. Al-Naafa M.A., Selim M.S. Sedimentation of monodisperse and bidisperse hard-sphere colloidal suspensions. AIChE J. 38:1992;1618-1630.
2. Barnea F., Mizrahi J. A generalized approach to fluid dynamics of particulate system. Part I. General correlation for fluidization and sedimentation in solid multiparticle systems. Chem. Engng J. 5:1973;171-189.
3. Batchelor G.K. Sedimentation in a dilute dispersion of spheres. J. Fluid Mech. 52:1972;245-268.
4. Batchelor G.K., Wen C-S. Sedimentation in a dilute polydisperse system of interacting spheres. Part 2. Numerical results. J. Fluid Mech. 124:1982;495-528.
5. Buscall R., Goodwin J.W., Ottewill R.H., Tadros ThF. The settling of particles through Newtonian and non-Newtonian media. J. Colloid Interface Sci. 85:1982;78-86.
6. Buyevich, YuA, 1995, Particle distribution in shear and pressure-driven suspension flow. The 1995 ASME International Mechanical Engineering Congress and Exposition, 12-17 November, San Francisco, CA, pp.107-119.
7. Cheng P.Y., Schachman H.K. Studies on the validity of the Einstein viscosity law and Stokes' law of sedimentation. J. Polym. Sci. 16:1955;19-30.
8. Chong Y.S., Ratkowsky D.A., Epstein N. Effect of particle shape on hindered settling in creeping flow. Powder Technol. 23:1979;55-66.
9. Davis R.H., Acrivos A. Sedimentation of noncolloidal particles at low Reynolds numbers. A. Rev. Fluid Mech. 17:1985;91-118.
10. Davis R.H., Birdsell K.H. Hindered settling of semidilute monodisperse and polydisperse suspensions. AIChE J. 34:1988;123-129.
11. Davis R.H., Hassen M.A. Spreading of the interface at the top of a slightly polydisperse sedimenting suspension. J. Fluid Mech. 196:1988;107-134.
12. Di Felice R. The voidage function for fluid-particle interaction systems. Int. J. Multiphase Flow. 20:1994;153-159.
13. Di Felice R. A relationship for the wall effect on the settling velocity of a sphere at any flow regime. Int. J. Multiphase Flow. 22:1996;527-533.
14. Di Felice R., Parodi E. Wall effects on the sedimentation velocity of suspensions in viscous flow. AIChE J. 42:1996;927-931.
15. Di Felice R., Gibilaro L.G., Foscolo P.U. On the hindered settling velocity of spheres in the inertial flow regime. Chem. Engng Sci. 50:1995;3005-3006.
16. Garside J., Al-Dibouni M.R. Velocity-voidage relationships for fluidization and sedimentation in solid-liquid systems. Ind. Engng Chem. Process Des. Dev. 16:1977;206-214.
17. Gibilaro L.G., Di Felice R., Foscolo P.U. A circulating liquid fluidised bed. Chem. Engng Sci. 43:1988;2901-2903.
18. Ham J.M., Homsy G.M. Hindered settling and hydrodynamic dispersion in quiescent sedimenting suspensions. Int. J. Multiphase Flow. 14:1988;533-546.
19. Happel J., Epstein N. Viscous flow in multiparticle systems: cubical assemblage of uniform spheres. Ind. Engng Chem. 46:1954;1187-1194.
20. Kowe R., Hunt J.C.R., Hunt A., Couet B., Bradbury L.J.S. The effect of bubbles on the volume fluxes and the pressure gradients in unsteady and non-uniform flow of liquids. Int. J. Multiphase Flow. 14:1988;587-606.
21. McNown, J.S., Lin, P.N., 1952, Sediment concentration and fall velocity. Proceedings of Second Midwestern Conference on Fluid Mechanics, Ohio State University, pp. 401-411.
22. Mertes T.S., Rhodes H.B. Liquid-particle behavior (part I). Chem. Engng Prog. 51:1955;429-432.
23. Newton, I., 1687. Principia Book II, Prop. XXXIX, Theor. XXXI.
24. Oliver D.R. The sedimentation of suspensions of closely-sized spherical particles. Chem. Engng Sci. 15:1961;230-242.
25. Rapagna' S., Di Felice R., Gibilaro L.G., Foscolo P.U. Steady-state expansion characteristics of monosize spheres fluidised by liquids. Chem. Engng Commun. 79:1989;131-140.
26. Riba J.P., Couderc J.P. Expansion de couches fluidisées par des liquides. Can. J. Chem. Engng. 55:1977;118-121.
27. Richardson J.F., Zaki W.N. Sedimentation and fluidisation. Part I. Trans. Inst. Chem. Engrs. 32:1954;35-53.
28. Rowe P.N. A convenient empirical equation for estimation of the Richardson-Zaki exponent. Chem. Engng Sci. 43:1987;2795-2796.
29. Steinour H.H. Rate of sedimentationnonflocculated suspension of uniform spheres. Ind. Engng Chem. 36:1944;618-624.
30. Whitmore R.L. The sedimentation of suspensions of spheres. Br. J. Appl. Phys. 6:1955;239-245.