Submarine granular flows down inclined planes

C. Cassar; M. Nicolas; O. Pouliquen

doi:10.1063/1.2069864

A non-local rheology for dense granular flows

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2009.0171 ◽

2009 ◽

Vol 367 (1909) ◽

pp. 5091-5107 ◽

Cited By ~ 113

Author(s):

Olivier Pouliquen ◽

Yoel Forterre

Keyword(s):

Granular Flows ◽

Constitutive Law ◽

Local Theory ◽

Plane Shear ◽

Static Regime ◽

Entire Flow ◽

Non Local ◽

Inclined Planes ◽

Inertial Regime ◽

Dense Granular Flows

A non-local theory is proposed to model dense granular flows. The idea is to describe the rearrangements occurring when a granular material is sheared as a self-activated process. A rearrangement at one position is triggered by the stress fluctuations induced by rearrangements elsewhere in the material. Within this framework, the constitutive law, which gives the relation between the shear rate and the stress distribution, is written as an integral over the entire flow. Taking into account the finite time of local rearrangements, the model is applicable from the quasi-static regime up to the inertial regime. We have checked the prediction of the model in two different configurations, namely granular flows down inclined planes and plane shear under gravity, and we show that many of the experimental observations are predicted within the self-activated model.

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Molecular dynamics simulation of granular flows: Slip along rough inclined planes

Computational Mechanics ◽

10.1007/s004660050349 ◽

1998 ◽

Vol 22 (2) ◽

pp. 160-166 ◽

Cited By ~ 13

Author(s):

X. M. Zheng ◽

J. M. Hill

Keyword(s):

Molecular Dynamics ◽

Molecular Dynamics Simulation ◽

Granular Flows ◽

Dynamics Simulation ◽

Inclined Planes

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Stability analysis of rapid granular chute flows: formation of longitudinal vortices

Journal of Fluid Mechanics ◽

10.1017/s0022112002001581 ◽

2002 ◽

Vol 467 ◽

pp. 361-387 ◽

Cited By ~ 39

Author(s):

YOËL FORTERRE ◽

OLIVIER POULIQUEN

Keyword(s):

Stability Analysis ◽

Kinetic Theory ◽

Three Dimensional ◽

Granular Flows ◽

Granular Temperature ◽

Instability Mechanism ◽

Longitudinal Vortices ◽

Spontaneous Formation ◽

Wide Range ◽

Inclined Planes

In a recent article (Forterre & Pouliquen 2001), we have reported a new instability observed in rapid granular flows down inclined planes that leads to the spontaneous formation of longitudinal vortices. From the experimental observations, we have proposed an instability mechanism based on the coupling between the flow and the granular temperature in rapid granular flows. In order to investigate the relevance of the proposed mechanism, we perform in the present paper a three-dimensional linear stability analysis of steady uniform flows down inclined planes using the kinetic theory of granular flows. We show that in a wide range of parameters, steady uniform flows are unstable under transverse perturbations. The structure of the unstable modes is in qualitative agreement with the experimental observations. This theoretical analysis shows that the kinetic theory is able to capture the formation of longitudinal vortices and validates the instability mechanism.

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