New bounds on the sedimentation velocity for hard, charged and adhesive hard-sphere colloids

W. Todd Gilleland, Salvatore Torquato, William B. Russel

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The sedimentation velocity of colloidal dispersions is known from experiment and theory at dilute concentrations to be quite sensitive to the interparticle potential with attractions/repulsions increasing/decreasing the rate significantly at intermediate volume fractions. Since the differences necessarily disappear at close packing, this implies a substantial maximum in the rate for attractions. This paper describes the derivation of a robust upper bound on the velocity that reflects these trends quantitatively and motivates wider application of a simple theory formulated for hard spheres. The treatment pertains to sedimentation velocities slow enough that Brownian motion sustains an equilibrium microstructure without large-scale inhomogeneities in density.

Original languageEnglish (US)
Pages (from-to)403-425
Number of pages23
JournalJournal of Fluid Mechanics
Volume667
DOIs
StatePublished - Jan 25 2011

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • colloids
  • low-Reynolds-number flows

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