Rheology of a granular gas under a plain shear

TL;DR

This paper investigates the rheological behavior of a two-dimensional granular gas under shear, validating fluid equations derived from kinetic theory against simulations and analytical solutions, even at high densities.

Contribution

It demonstrates that hydrodynamic equations from kinetic theory accurately predict granular gas rheology under shear at high densities.

Findings

Hydrodynamic equations match simulation results.

Analytical solutions agree with discrete element method.

Fluid equations are valid at high densities.

Abstract

The rheology of a two-dimensional granular gas under a plane shear is investigated. From the comparison among the discrete element method, the simulation of a set of hydrodynamic equation, and the analytic solution of the steady equation of the hydrodynamic equations, it is confirmed that the fluid equations derived from the kinetic theory give us accurate results even in relatively high density cases.