A unified description of the rheology of hard-particle suspensions

Abstract

The rheology of suspensions of Brownian, or colloidal, particles (diameter $d\lesssim 1$ $\mu$m) differs markedly from that of larger grains ($d\gtrsim 50$ $\mu$m). Each of these two regimes has been separately studied, but the flow of suspensions with intermediate particle sizes (1 $\mu \text{m}\lesssim d\lesssim 50$ $\mu$m), which occur ubiquitously in applications, remains poorly understood. By measuring the rheology of suspensions of hard spheres with a wide range of sizes, we show experimentally that shear thickening drives the transition from colloidal to granular flow across the intermediate size regime. This insight makes possible a unified description of the (non-inertial) rheology of hard spheres over the full size spectrum. Moreover, we are able to test a new theory of friction-induced shear thickening, showing that our data can be well fitted using expressions derived from it.

5 pages

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• Jamming of frictional spheres and random loose packing
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