Rheological properties for inelastic Maxwell mixtures under shear flow

TL;DR

This paper derives exact expressions for rheological properties like shear viscosity in inelastic Maxwell mixtures under shear flow, revealing how these properties depend on shear rate and particle parameters.

Contribution

It provides the first exact evaluation of transport coefficients for inelastic Maxwell mixtures in shear flow, linking rheological behavior to microscopic parameters.

Findings

Transport coefficients decrease with increasing shear rate.

Exact formulas relate rheological properties to restitution coefficients and particle parameters.

Results enhance understanding of granular flow rheology.

Abstract

The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions) are {\em exactly} evaluated in terms of the coefficients of restitution, the (reduced) shear rate and the parameters of the mixture (particle masses, diameters and concentration). The results show that in general, for a given value of the coefficients of restitution, the above transport properties decrease with increasing shear rate.