Hydrodynamics of fluid-solid coexistence in dense shear granular flow

Abstract

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest of constitutive relations. New interpolation formulas for constitutive relations between dilute and dense cases are proposed and justified in molecular dynamics (MD) simulations. A linear stability analysis of the uniform shear flow is performed and the full phase diagram is presented. It is shown that when the inelasticity of particle collision becomes large enough, the uniform sheared flow gives way to a two-phase flow, where a dense "solid-like" striped cluster is surrounded by two fluid layers. The results of the analysis are verified in event-driven MD simulations, and a good agreement is observed.

References in corpus (4)

• Hysteresis and competition between disorder and crystallization in sheared and vibrated granular flow
• Inherent Rheology of a Granular Fluid in Uniform Shear Flow
• Transport properties of dense dissipitive hard-sphere fluids for arbitrary energy loss models
• Shear-induced crystallization of a dense rapid granular flow: hydrodynamics beyond the melting point?

Cited by in corpus (1)

• Universality of shear-banding instability and crystallization in sheared granular fluid