A kinetic theory of suspensions. III. Hard spheres and lubrication dynamics
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Date
1995
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Abstract
Numerical estimates are presented for the shear viscosity coefficient of a hard-sphere suspension. Our calculations are based on a previously reported theory which uses a Fokker-Planck equation to describe the evolution of the solute many-body distribution function. The hydrodynamic interactions of the solute particles are modeled by two-body forces which include the short-ranged, singular contributions due to lubrication. This produces estimates of the viscosity that agree significantly better with experiment than did our earlier calculations which neglected the effects of lubrication. Our predictions are compared with those of other theories, with results of computer simulations, and with experimental data.