The rheology of hard sphere suspensions at arbitrary volume fractions: An improved differential viscosity model

Details The rheology of hard sphere suspensions at arbitrary volume fractions: An improved differential viscosity model The rheology of hard sphere suspensions at arbitrary volume fractions: An improved differential viscosity model

2008-10-28

arxiv.org/abs/0810.5111v1

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 6 figures, submitted

Scientific paper

10.1063/1.3063120

We propose a simple and general model accounting for the dependence of the viscosity of a hard sphere suspension at arbitrary volume fractions. The model constitutes a continuum-medium description based on a recursive-differential method that assumes a hierarchy of relaxation times. Geometrical information of the system is introduced through an effective volume fraction that approaches the usual filling fraction at low concentrations and becomes one at maximum packing. The agreement of our expression for the viscosity with experiments at low- and high-shear rates and in the high-frequency limit is remarkable for all volume fractions.

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