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

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.

12 pages, 14 figures

References in corpus (5)

• Enskog Theory for Polydisperse Granular Mixtures. I. Navier-Stokes order Transport
• Enskog Theory for Polydisperse Granular Mixtures II. Sonine Polynomial Approximation
• Inherent Rheology of a Granular Fluid in Uniform Shear Flow
• Enskog kinetic theory of rheology for a moderately dense inertial suspension
• Anomalous aggregation regimes of temperature-dependent Smoluchowski equations

Cited by in corpus (2)

• Kinetic theory of dilute weakly charged granular gases with hard-core and inverse power-law interactions under uniform shear flow
• Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution