PMID: 11308647Apr 20, 2001Paper

Selection of velocity profile and flow depth in granular flows

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
B Andreotti, S Douady

Abstract

The dynamics of a two-dimensional pile constituted by spherical grains organized in parallel layers is investigated theoretically. Only three effects are taken into account in the model: driving by gravity, nonlocal dissipation due to shocks, and trapping of grains by the bumps of the underneath layer. This is sufficient to recover the basic properties of granular avalanches: the transition between static and flowing state is hysteretic; the pile does not flow on the whole height but only in a layer at the surface; the velocity profile inside the flowing layer is approximately linear and is followed by a creep motion in the (quasi) static part. The flow height increases as a function of the pile angle and tends to infinity for a critical angle straight phi(infinity). The dependence of this critical angle with the static angle straight phi(s), the restitution coefficient rho, and the moment of inertia J, is investigated.

References

Jan 4, 2001·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L QuartierA Daerr
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A AradianP G de Gennes

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Citations

Sep 2, 2004·The European Physical Journal. E, Soft Matter·UNKNOWN GDR MiDi
Oct 29, 2005·Journal of Experimental Zoology. Part B, Molecular and Developmental Evolution·Andrea Mess, Anthony M Carter
Jul 30, 2002·Physical Review Letters·D BonamyJ P Bouchaud
Nov 29, 2015·The European Physical Journal. E, Soft Matter·Mehdi BouzidBruno Andreotti
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F MalloggiE Clément
Dec 15, 2016·Physical Review. E·L JingY D Sobral
Dec 17, 2004·Physical Review Letters·B Andreotti
Dec 2, 2020·Physical Review Letters·Denis DumontPascal Damman
Mar 24, 2005·Physical Review Letters·Sylvain Courrech du PontMarc Rabaud
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tamás BörzsönyiRobert E Ecke
Aug 9, 2003·Physical Review Letters·E AltshulerK E Bassler
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G ChambonS Roux
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thorsten EmigJean-Philippe Bouchaud
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E MartínezE Altshuler
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Namiko Mitarai, Hiizu Nakanishi

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