Granular gravitational collapse and chute flow

ExxonMobil Research and Engineering - 1545 Route 22 East Annandale, NJ 08801, USA

Corresponding author: deniz.ertas@exxonmobil.com

Received: 6 June 2002
Accepted: 3 October 2002

Abstract

We argue that inelastic grains in a flow under gravitation tend to collapse into states in which the relative normal velocities of two neighboring grains is zero. If the time scale for this gravitational collapse is shorter than inverse strain rates in the flow, we propose that this collapse will lead to the formation of “granular eddies”, large-scale condensed structures of particles moving coherently with one another. The scale of these eddies is determined by the gradient of the strain rate. Applying these concepts to chute flow of granular media (gravitationally driven flow down inclined planes), we predict the existence of a bulk flow region whose rheology is determined only by flow density. This theory yields the “Pouliquen flow rule”, correlating different chute flows; it also accounts for the different flow regimes observed.