The Breakdown of Kinetic Theory in Granular Shear Flows

Abstract

We examine two basic assumptions of kinetic theory-- binary collisions and molecular chaos-- using numerical simulations of sheared granular materials. We investigate a wide range of densities and restitution coefficients and demonstrate that kinetic theory breaks down at large density and small restitution coefficients. In the regimes where kinetic theory fails, there is an associated emergence of clusters of spatially correlated grains.

References in corpus (4)

• Numerical Tests of Constitutive Laws for Dense Granular Flows
• Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow
• The rheology of dense, polydisperse granular fluids under shear
• Molecular dynamics and theory for the contact values of the radial distribution functions of hard-disk fluid mixtures

Cited by in corpus (10)

• A Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling
• Velocity correlations in the dense granular shear flows: Effects on energy dissipation and normal stress
• Dense granular flow rheology in turbulent bedload transport
• A unified description of gravity- and kinematics-induced segregation forces in dense granular flows
• Long Range Correlations in Granular Shear Flow I: Numerical Evidence
• Critical scaling and aging in cooling systems near the jamming transition
• Effect of confinement on dense packings of rigid frictionless spheres and polyhedra
• Long Range Correlation in Granular Shear Flow II: Theoretical Implications
• Force networks and the dynamic approach to jamming in sheared granular media
• Brownian dynamics simulations of hard rods in external fields and with contact interactions