Simple heuristic for the viscosity of polydisperse hard spheres
1Unilever R&D, Colworth Science Park, Sharnbrook MK44 1LQ, United Kingdom and London Institute for Mathematical Sciences, 35a South St., Mayfair, United Kingdom.
Abstract:
We build on the work of Mooney [Colloids Sci. 6, 162 (1951)] to obtain an heuristic analytic approximation to the viscosity of a suspension any size distribution of hard spheres in a Newtonian solvent. The result agrees reasonably well with rheological data on monodispserse and bidisperse hard spheres, and also provides an approximation to the random close packing fraction of polydisperse spheres. The implied packing fraction is less accurate than that obtained by Farr and Groot [J. Chem. Phys. 131(24), 244104 (2009)], but has the advantage of being quick and simple to evaluate.
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