Hydrodynamic interactions between falling solid particles of different densities
Abstract
An analytical investigation of the effects of hydrodynamic interactions on the sedimentation of spherical particles in a fluid is presented. An assumption of sufficiently small particle size is made in order to use the creeping flow equation. The particles are assumed to be solid spheres with equal radii and different densities. Attention is focused on the flow around two spheres and statistical determination of the flows around many spheres. A probabilistic technique developed by Batchelor (1972) is employed to calculate the sedimentation velocities of the spheres.
 Publication:

Archiv of Mechanics, Archiwum Mechaniki Stosowanej
 Pub Date:
 1982
 Bibcode:
 1982ArMeS..34..593F
 Keywords:

 Density (Mass/Volume);
 Hydrodynamics;
 Particle Size Distribution;
 Sediment Transport;
 Viscous Fluids;
 Flow Equations;
 Probability Theory;
 Spheres;
 Statistical Analysis;
 Fluid Mechanics and Heat Transfer