Shear-banding instability in arbitrarily inelastic granular shear flows
arXiv:1904.06404 · doi:10.1103/PhysRevE.100.032903
Abstract
One prototypical instability in granular flows is the shear-banding instability, in which a uniform granular shear flow breaks into alternating bands of dense and dilute clusters of particles having low and high shear (shear stress or shear rate), respectively. In this work, the shear-banding instability in an arbitrarily inelastic granular shear flow is analyzed through the linear stability analysis of granular hydrodynamic equations closed with Navier--Stokes-level constitutive relations. It is shown that the choice of appropriate constitutive relations plays an important role in predicting the shear-banding instability. A parametric study is carried out to study the effect of the restitution coefficient, channel width and mean density. Two global criteria relating the control parameters are found for the onset of the shear-banding instability.
arXiv comment21 pages, 11 figures (accepted for publication in Physical Review E)
References in corpus (19)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Signatures of granular microstructure in dense shear flows
- Granular Shear Flow Dynamics and Forces : Experiment and Continuum Theory
- Shocks in supersonic sand
- Transport Coefficients for Granular Media from Molecular Dynamics Simulations
- Transport properties of dense dissipitive hard-sphere fluids for arbitrary energy loss models
- Shear band formation in granular media as a variational problem
- First normal stress difference and crystallization in a dense sheared granular fluid
- Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas
- Chapman-Enskog expansion about nonequilibrium states: the sheared granular fluid
- Transport coefficients for an inelastic gas around uniform shear flow: Linear stability analysis
- Shear-induced crystallization of a dense rapid granular flow: hydrodynamics beyond the melting point?
- Shear Zones in granular materials: Optimization in a self-organized random potential
- Granular Shear Flow in Varying Gravitational Environments
- Grad's moment method for a granular fluid at moderate densities. Navier-Stokes transport coefficients
- Hydrodynamics of fluid-solid coexistence in dense shear granular flow
- Universality of shear-banding instability and crystallization in sheared granular fluid
- Higher-order moment theories for dilute granular gases of smooth hard-spheres
- A numerical study of the Navier-Stokes transport coefficients for 2D granular hydrodynamics