Abstract
We study the high frequency effective viscosity of suspensions of spherical particles and of emulsions of spherical fluid droplets. Assuming that in the bulk of the dispersion the distribution of particles on average is uniform and isotropic we derive an exact expression for the effective viscosity. We evaluate the expression in two-body approximation and show that for hard spheres with stick boundary conditions this leads to a divergence of the effective viscosity at a volume fraction of about thirty-six percent. This rather low value indicates the necessity of calculating higher order correction terms.
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