Kinetic theory of discontinuous shear thickening

Abstract

A simple kinetic theory to exhibit a discontinuous shear thickening (DST) is proposed. The model includes the collision integral and the friction from environment as well as a thermostat term characterized by $T_{\mathrm{ex}}$. The viscosity of this model is proportional to ${\dot{\gamma }}^2$ for large shear rate $\dot{\gamma }$, while it is Newtonian for low $\dot{\gamma }$. The emergence of the DST is enhanced for lower density and lower nonzero $T_{\mathrm{ex}}$.

4 pages, 2 figures, Powders and Grains 2017 (in press)

References in corpus (4)

• Inherent Rheology of a Granular Fluid in Uniform Shear Flow
• Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles
• Rheological Chaos of Frictional Grains
• Divergence of Viscosity in Jammed Granular Materials: A Theoretical Approach

Cited by in corpus (6)

• Mpemba effect in inertial suspensions
• Kinetic theory of shear thickening for a moderately dense gas-solid suspension: from discontinuous thickening to continuous thickening
• Enskog kinetic theory of rheology for a moderately dense inertial suspension
• Theory for the rheology of dense non-Brownian suspensions: divergence of viscosities and $\mu$-$J$ rheology
• Rheology of dilute cohesive granular gases
• Rheology of a dilute binary mixture of inertial suspension under simple shear flow