Abstract
We present a phenomenological model for granular suspension rheology in which particle interactions enter as constraints to relative particle motion. By considering constraints that are formed and released by stress respectively, we derive a range of experimental flow curves in a single treatment and predict singularities in viscosity and yield stress consistent with literature data. Fundamentally, we offer a generic description of suspension flow that is independent of bespoke microphysics.
Highlights
Concentrated particulate dispersions are ubiquitous in industry
Atomic force microscopy confirms this picture for several systems [15,22], and the Wyart and Cates (WC) model fits a number of experimental flow curves [7,8,18]; quantitative discrepancies with microscopic simulations remain [23]
By assuming that sliding constraints are formed at increasing stress, the WC model accounts for class 2 behavior, which, is rare in practice
Summary
Concentrated particulate dispersions are ubiquitous in industry. When the particle size is in the granular (i.e., nonBrownian) regime (radius R ≳ 1 μm), their flow is notoriously difficult to predict and control [1,2]. By assuming that sliding constraints are formed at increasing stress, the WC model accounts for class 2 behavior, which, is rare in practice. One single model predicts all observed classes of experimental flow curves.
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