Granular flow down a rough inclined plane: Transition between thin and thick piles

By L. Silbert, J. Landry, Gary S. Grest. 2002

195 citations recorded by the source corpus.

The rheology of granular particles in an inclined plane geometry is studied using three dimensional molecular dynamics simulations. The flow–no-flow boundary is determined for piles of varying heights over a range of inclination angles θ. Three angles determine the phase diagram: θr, the angle of repose, is the angle at which a flowing system comes to rest; θm, the maximum angle of stability, is the inclination required to induce flow in a static system; and θmax is the maximum angle for which stable, steady state flow is observed. In the stable flow region θr<θ<θmax, three flow regimes can be distinguished that depend on how close θ is to θr: (i) θ≫θr: Bagnold rheology, characterized by a mean particle velocity vx in the direction of flow that scales as vx∝h3/2, for a pile of height h, (ii) θ≳θr: The slow flow regime, characterized by a linear velocity profile with depth, and (iii) θ≈θr: Avalanche flow characterized by a slow underlying creep motion combined with occasional free surface events and large ...

Subfields: Computational Mechanics, Management, Monitoring, Policy and Law

View Paper: https://www.semanticscholar.org/paper/c609846bda45ca84f91dcc17ddbee578047798b9

How researchers see this paper

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In Computational Mechanics

1. J. Gray
2. C. Ancey
3. Olivier Pouliquen
4. Yoël Forterre
5. P. Jop
6. Anne Mangeney
7. Olivier Roche
8. Shiva P. Pudasaini

In Management, Monitoring, Policy and Law

1. J. Gray
2. Olivier Pouliquen
3. Yoël Forterre
4. C. Ancey
5. P. Jop
6. Anne Mangeney
7. Olivier Roche
8. Shiva P. Pudasaini

Citations in the corpus

• Continuum modelling and simulation of granular flows through their many phases (2014, unknown): “(4.6) The Bagnold profile has been observed rather clearly in DEM simulations of inclined flows (Silbert et al. 2001, 2003).”
• Crucial role of sidewalls in granular surface flows: consequences for the rheology (2005, background): “The study of the steady uniform flows, for which scaling laws have been observed (Pouliquen 1999; Silbert et al. 2003), allows an empirical friction law to describe the shear stress that develops at the interface between the flowing layer and the rough surface to be proposed.”
• Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts (2009, background): “The introduction of particles of different sizes and roughnesses introduces a rich variety of behaviour, which is rather different from what happens in steady monodisperse twodimensional granular flows down slopes or in very wide three-dimensional channels, where particle dynamics simulations (Silbe”
• Flows of Dense Granular Media (2008, background): “…evidence of an empirical flow rule, where the depth-averaged velocity 〈u〉 is related to the thickness of the layer and to the inclination by an empirical relation 〈u〉/√gh α h/hstop (θ ), where hstop (θ ) is the minimum thickness for flow (Deboeuf et al. 2006, Pouliquen 1999a, Silbert et al. 2003).”