Rheology of dilute granular gas mixtures where the grains interact via a square shoulder and well potential

TL;DR

This paper develops a kinetic theory-based rheological model for dilute granular gas mixtures with square shoulder and well interactions, analyzing temperature and viscosity under shear, and confirming results with simulations.

Contribution

It introduces a novel kinetic theory approach to model the rheology of charged granular mixtures with specific interaction potentials.

Findings

Temperature and shear viscosity depend on shear rate.

Numerical simulations confirm theoretical predictions.

Clustering occurs below a critical shear rate.

Abstract

We develop the rheology of a dilute granular gas mixture. Motivated by the interaction of charged granular particles, we assume that the grains interact via a square shoulder and well potential. Employing kinetic theory, we compute the temperature and the shear viscosity as functions of the shear rate. Numerical simulations confirm our results above the critical shear rate. At a shear rate below a critical value, clustering of the particles occurs.