Bidisperse granular avalanches on inclined planes: A rich variety of behaviors

Abstract.Experiments were performed to provide insight into the flow behavior and structure of bimodal mixtures of grains in gravity-driven, free-surface flows. Unsteady unconfined flows were produced by releasing instantaneously a dry granular mass, composed of two particle sizes, over a rough inclined plane. As a result of size segregation, the small particles are found at the bottom of the flow and final deposit, the large particles are found at the free surface, but also on the lateral borders and at the front of the flow. The lateral and vertical inhomogeneous repartitions of particles lead to two main effects that are completely absent in monodispersed flows. The outline effect results from the accumulation of large beads on the periphery of the flow depending on the value of the relative friction of each particle species on the plane. This effect in turn causes a narrowing of the flow and/or an increase of length of the final deposit. The interface effect results of the interaction between layers of different size particles and causes the modification of the thickness of the deposit. These effects occur simultaneously and their combination leads to a great variety of behaviors. In this investigation, evidence of the diversity of behaviors is presented as the size ratio, relative friction and concentration of each particle species are varied.

[1]  Andrea C. Santomaso,et al.  Transition to movement in granular chute flows , 2001 .

[2]  Jean-Noël Roux,et al.  Rheophysics of dense granular materials: discrete simulation of plane shear flows. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  P. Cleary,et al.  Large-scale landslide simulations : global deformation, velocities and basal friction , 1995 .

[4]  D. Bideau,et al.  Radial Segregation in a 2d Drum: An Experimental Analysis , 1995 .

[5]  Olivier Pouliquen,et al.  SCALING LAWS IN GRANULAR FLOWS DOWN ROUGH INCLINED PLANES , 1999 .

[6]  Gerald H. Ristow,et al.  Radial segregation in a two-dimensional rotating drum , 1997 .

[7]  Julio M. Ottino,et al.  Radial segregation of granular mixtures in rotating cylinders , 1997 .

[8]  G. Midi,et al.  On dense granular flows , 2003, The European physical journal. E, Soft matter.

[9]  J. Vallance,et al.  Segregation induced instabilities of granular fronts. , 1999, Chaos.

[10]  Adrian Daerr,et al.  Dynamical equilibrium of avalanches on a rough plane , 2001 .

[11]  Jean-Pierre Vilotte,et al.  Numerical modeling of self‐channeling granular flows and of their levee‐channel deposits , 2006 .

[12]  G S Karczmar,et al.  Granular Convection Observed by Magnetic Resonance Imaging , 1995, Science.

[13]  J. Delour,et al.  Fingering in granular flows , 1997, Nature.

[14]  Richard M. Iverson,et al.  Flow of variably fluidized granular masses across three‐dimensional terrain: 1. Coulomb mixture theory , 2001 .

[15]  T. Mullin Coarsening of self-organized clusters in binary mixtures of particles. , 2000, Physical review letters.

[16]  C. Goujon,et al.  Monodisperse dry granular flows on inclined planes: Role of roughness , 2003, The European physical journal. E, Soft matter.

[17]  S. Savage,et al.  The motion of a finite mass of granular material down a rough incline , 1989, Journal of Fluid Mechanics.

[18]  Evesque,et al.  Frictional-collisional regime for granular suspension flows down an inclined channel , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  D. Robinson,et al.  Observations of the effects of particle shape and particle size distribution on avalanching of granular media , 2002 .

[20]  J. Bridgwater,et al.  The mechanisms of free surface segregation , 1983 .

[21]  Anthony Richard Thornton,et al.  A three-phase mixture theory for particle size segregation in shallow granular free-surface flows , 2006, Journal of Fluid Mechanics.

[22]  Adrian Daerr,et al.  On granular surface flow equations , 1999 .

[23]  J. Bridgwater,et al.  Fundamental powder mixing mechanisms , 1976 .

[24]  Kolumban Hutter,et al.  Channelized free-surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature , 1999, Journal of Fluid Mechanics.

[25]  Thomas Reverse and intermediate segregation of large beads in dry granular media , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  É. Clément,et al.  Mixing of a Granular Material in a Bidimensional Rotating Drum , 1995 .

[27]  A. Thornton,et al.  A theory for particle size segregation in shallow granular free-surface flows , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[28]  G Sansoni,et al.  Three-dimensional vision based on a combination of gray-code and phase-shift light projection: analysis and compensation of the systematic errors. , 1999, Applied optics.

[29]  N. Thomas,et al.  Relation between dry granular flow regimes and morphology of deposits: formation of levées in pyroclastic deposits , 2003, cond-mat/0312541.

[30]  S. Savage,et al.  Particle size segregation in inclined chute flow of dry cohesionless granular solids , 1988, Journal of Fluid Mechanics.

[31]  S. Savage,et al.  FLOW OF GRANULAR MATERIALS , 1989 .

[32]  Olivier Pouliquen,et al.  Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane , 2001, Journal of Fluid Mechanics.