Journal
JOURNAL OF FLUID MECHANICS
Volume 667, Issue -, Pages 403-425Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112010004490
Keywords
colloids; low-Reynolds-number flows
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Funding
- Office of Basic Energy Sciences, US Department of Energy [DE-FG02-04-ER46108]
- Chemical and Thermal Systems, Division of Engineering, National Science Foundation [CTS 9521662]
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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.
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