Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane

By Olivier Pouliquen, Yoël Forterre. Journal of Fluid Mechanics, 2001

503 citations recorded by the source corpus.

The problem of the spreading of a granular mass released at the top of a rough inclined plane was investigated. The evolution of the avalanche was measured experimentally from the initiation up to the deposit using a Moiré image-processing technique. The results are quantitatively compared with the prediction of an hydrodynamic model based on depth-averaged equations. In the model, the interaction between the flowing layer and the rough bottom is described by a non-trivial friction force whose expression is derived from measurements on steady uniform flows. We show that the spreading of the mass is quantitatively predicted by the model when the mass is released on a plane free of particles. When an avalanche is triggered on an initially static layer, the model fails in quantitatively predicting the propagation but qualitatively captures the evolution.

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

View Paper: https://www.semanticscholar.org/paper/8e31725e1f637d7e90d50b0df884bd713bfeee3a

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Citations in the corpus

Study of the collapse of granular columns using two-dimensional discrete-grain simulation (2005, background): “Systematic studies of the frictional properties and the spreading of granular flows on inclined planes have been carried out (Pouliquen 1999; Pouliquen & Forterre 2002 ).”
Long-surface-wave instability in dense granular flows (2003, methodology): “Using this law in the Saint-Venant description it is possible to quantitatively predict the motion of a mass down a rough inclined plane from initiation to deposit (Pouliquen & Forterre 2002).”
Granular avalanches across irregular three‐dimensional terrain: 2. Experimental tests (2004, methodology): “(This technique was a more precise hybrid of laser sheet and shadow bar techniques described previously by McDonald and Anderson [1996], Denlinger and Iverson [2001], and Pouliquen and Forterre [2002] .) To produce contours, the 52 laser modules were mounted in a specially fabricated superstructure”
Flows of Dense Granular Media (2008, background): “Both θstart(h) and θstop(h) increase when the thickness is decreased (Daerr & Douday 1999b, Pouliquen & Forterre 2002, Pouliquen & Renaut 1996).”
Gravity currents: a personal perspective (2006, background): “Pouliquen & Forterre 2002 ) and equations developed to describe the flow (see for example Savage 1998) both depend on the basal and intergranular friction, with the equations incorporating empirical rheology expressions.”
Dense flows of cohesive granular materials (2008, unknown): “Several experimental and numerical studies focused on the flows of cohesionless grains down inclined planes (see for example Pouliquen & Chevoir 2002; Pouliquen & Forterre 2002).”
Granular collapse in two dimensions (2005, methodology): “Alternatively, for the Savage–Hutter model, from (6.4), these two angles are predicted to be 36◦ and 24◦, respectively, and are close to the values expected for K =1 which has also been advocated in the past (e.g. Pouliquen & Forterre 2002).”
Avalanche mobility induced by the presence of an erodible bed and associated entrainment (2007, unknown): “simulating triangular shaped waves traveling over an erodible bed when entrainment is not taken into account [Pouliquen and Forterre, 2002].”
Crucial role of sidewalls in granular surface flows: consequences for the rheology (2005, methodology): “This law has been successfully applied in the framework of depth-averaged equations to quantitatively predict the spreading of a granular mass ( Pouliquen & Forterre 2002 ) and the development of instabilities (Forterre & Pouliquen 2003).”
Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts (2009, methodology): “However, since so little is known about the nature of the solutions to the particle-size segregation problem, an uncoupled empirical law for flows down rough inclined planes ( Pouliquen & Forterre 2002 ) will be used at this stage.”
Relation between dry granular flow regimes and morphology of deposits: formation of levées in pyroclastic deposits (2003, unknown): “Some studies focus on the spreading of a finite mass of granular matter on a wide slope [42, 43], but no steady state regime is reached, and the deposit morphology is strongly influenced by its initial shape, or deformed by local changes of the slope [44].”