A Hydrodynamic model for a dynamical jammed-to-flowing transition in gravity driven granular media

Abstract

Granular material on an inclined plane will flow like a fluid if the angle $θ$ the plane makes with the horizontal is large enough. We employ a modification of a hydrodynamic model introduced previously to describe Couette flow experiments to describe chute flow down a plane. In this geometry, our model predicts a jammed-to-flowing transition as $θ$ is increased even though it does not include solid friction, which might seem necessary to stabilize a state without flow. The transition is driven by coupling between mean and fluctuating velocity. In agreement with experiments and simulations, it predicts flow for layers with a thickness H larger than a critical value $H_{\rm stop}(θ)$ and absence of flow for $H<H_{\rm stop}(θ)$.