Kinetic theory for strong uniform shear flow of granular media at high density

TL;DR

This paper develops kinetic theory expressions for the viscosity and Bagnold coefficient of dense granular media under uniform shear flow, focusing on high-density regimes near the glass transition.

Contribution

It provides new kinetic theory formulas for transport coefficients of dense, inelastic Hertzian spheres under shear, emphasizing high-density behavior.

Findings

Transport coefficients depend strongly on density and restitution coefficient.

Kinetic theory expressions are derived for high-density granular flows.

Results are relevant near the glass transition density.

Abstract

We discuss the uniform shear flow of a fluidized granular bed composed of monodisperse Hertzian spheres. Considering high densities around the glass transition density of inelastic Hertzian spheres, we report kinetic theory expressions for the Newtonian viscosity as well as the Bagnold coefficient. We discuss the dependence of the transport coefficients on density and coefficient of restitution.