Hydrodynamics of sedimentation of multisized particles

Abstract A one-dimensional hydrodynamic model for the sedimentation of multisized particles was developed. The basic model was solved by the ICE numerical method, using a modified K-FIX computer code. The predicted settling rates agree with Selim's et al. settling data of two heavy species and Fessas and Weiland's experiments of heavy, buoyant two-species settling. The model also computes reasonable concentration profiles in the settler. To effectively simulate the sedimentation of multisized fine colloidal particles in non-aqueous media, the model was modified to be a diffusion-type matrix equation and solved by the method of characteristics. Surface charge effect of colloidal particles was included in the model The predicted concentration profiles for the settling of fine illite particles in toluene with asphaltene agree well with the recent experimental data reported by Shih et al.

[1]  P. Grootscholten,et al.  Particle-particle interactions in poly-sized solid-liquid suspensions , 1985 .

[2]  Y. Zimmels,et al.  Theory of hindered sedimentation of polydisperse mixtures , 1983 .

[3]  G. Batchelor,et al.  Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory , 1982, Journal of Fluid Mechanics.

[4]  M. J. Lockett,et al.  Relative particle velocities in two-species settling , 1974 .

[5]  H. Arastoopour,et al.  Particle—particle interaction force in a dilute gas—solid system , 1982 .

[6]  R. Weiland,et al.  Convective solids settling induced by a buoyant phase , 1981 .

[7]  H. P. Greenspan,et al.  On hindered settling of particles of different sizes , 1982 .

[8]  Frank M. Tiller,et al.  Revision of kynch sedimentation theory , 1981 .

[9]  Dimitri Gidaspow,et al.  Hydrodynamics of Fiuidizatlon and Heat Transfer: Supercomputer Modeling , 1986 .

[10]  Jerome B. Fanucci,et al.  On the formation of bubbles in gas-particulate fluidized beds , 1978, Journal of Fluid Mechanics.

[11]  Robert H. Davis,et al.  Sedimentation of noncolloidal particles at low Reynolds numbers , 1985 .

[12]  D. C. Dixon.  Effect of sludge funneling in gravity thickeners , 1980 .

[13]  R. Whitmore.  The sedimentation of suspensions of spheres , 1955 .

[14]  D. Wasan,et al.  Sedimentation of fine particles in nonaqueous media: Part I — experimental Part II — modeling , 1986 .

[15]  Hamid Arastoopour,et al.  Analysis of vertical pneumatic conveying of solids using multiphase flow models , 1982 .

[16]  R. Weiland,et al.  The settling of suspensions promoted by rigid buoyant particles , 1984 .

[17]  S. Levine,et al.  The prediction of electrokinetic phenomena within multiparticle systems , 1976 .

[18]  Hamid Arastoopour,et al.  Hydrodynamic analysis of horizontal solids transport , 1982 .

[19]  C. Dell,et al.  The dewatering of polyclay suspensions , 1973 .

[20]  Raffi M. Turian,et al.  Sedimentation of multisized particles in concentrated suspensions , 1983 .

[21]  S. Mirza,et al.  Sedimentation of suspensions of particles of two or more sizes , 1979 .

[22]  John Happel,et al.  Viscous flow in multiparticle systems: Slow motion of fluids relative to beds of spherical particles , 1958 .