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Relaxation dynamics of water-immersed granular avalanches

Published online by Cambridge University Press:  19 April 2007

DELPHINE DOPPLER ,
PHILIPPE GONDRET ,
THOMAS LOISELEUX ,
SAM MEYER  and
MARC RABAUD
DELPHINE DOPPLER
Affiliation:
Lab FAST, UMR 7608, CNRS, Univ Paris-Sud, Université Pierre et Marie Curie-Paris 6, Bât. 502, F-91405 Orsay, France
PHILIPPE GONDRET
Affiliation:
Lab FAST, UMR 7608, CNRS, Univ Paris-Sud, Université Pierre et Marie Curie-Paris 6, Bât. 502, F-91405 Orsay, France
THOMAS LOISELEUX
Affiliation:
Lab FAST, UMR 7608, CNRS, Univ Paris-Sud, Université Pierre et Marie Curie-Paris 6, Bât. 502, F-91405 Orsay, France Unité de Mécanique, Ecole Nationale Supérieure de Techniques Avancées (ENSTA-ParisTech), 32 Bd Victor, F-75015 Paris, France
SAM MEYER
Affiliation:
Lab FAST, UMR 7608, CNRS, Univ Paris-Sud, Université Pierre et Marie Curie-Paris 6, Bât. 502, F-91405 Orsay, France
MARC RABAUD
Affiliation:
Lab FAST, UMR 7608, CNRS, Univ Paris-Sud, Université Pierre et Marie Curie-Paris 6, Bât. 502, F-91405 Orsay, France
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Abstract

We study water-immersed granular avalanches in a long rectangular cell of small thickness. By video means, both the angle of the granular pile and the velocity profiles of the grains across the depth are recorded as a function of time. These measurements give access to the instantaneous granular flux. By inclining the pile at initial angles larger than the maximum angle of stability, avalanches are triggered and last for a long time, up to several hours for small grains, during which both the slope angle and the granular flux relax slowly. We show that the relaxation is quasi-steady so that there is no inertia: the relaxation at a given time is controlled only by the slope angle at that time. This allows us to adapt a frictional model developed recently for dry or water-immersed grains flowing in stationary conditions. This model succeeds well in reproducing our unsteady avalanche flows, namely the flowing layer thickness, the granular flux and the temporal relaxation of the slope. When a water counter-flow is applied along the pile, the granular avalanches are slowed down and behave as if granular friction were increased by an amount proportional to the water flow. All these findings are also reproduced well with the same friction model by taking into account the additional fluid force.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 577 , 25 April 2007 , pp. 161 - 181
Copyright
Copyright © Cambridge University Press 2007

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