Scaling laws in granular flows down rough inclined planes

1999 ◽  
Vol 11 (3) ◽  
pp. 542-548 ◽  
Author(s):  
O. Pouliquen
Keyword(s):  
Scaling Laws ◽  
Granular Flows ◽  
Inclined Planes

A non-local rheology for dense granular flows

2009 ◽  
Vol 367 (1909) ◽  
pp. 5091-5107 ◽  
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.

scholarly journals Scaling Laws for the Slip Velocity in Dense Granular Flows

2012 ◽  
Vol 108 (23) ◽  
Author(s):  
Riccardo Artoni ◽  
Andrea C. Santomaso ◽  
Massimiliano Go’ ◽  
Paolo Canu
Keyword(s):  
Slip Velocity ◽  
Scaling Laws ◽  
Granular Flows ◽  
Dense Granular Flows

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

2002 ◽  
Vol 467 ◽  
pp. 361-387 ◽  
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.

Scaling laws in granular flows down a rough plane

2002 ◽  
Vol 14 (1) ◽  
pp. 415-418 ◽  
Author(s):  
B. Andreotti ◽  
A. Daerr ◽  
S. Douady
Keyword(s):  
Scaling Laws ◽  
Granular Flows ◽  
Rough Plane

Kinetic-theory-based model of dense granular flows down inclined planes

2012 ◽  
Vol 24 (7) ◽  
pp. 073303 ◽  
Author(s):  
Cheng-Hsien Lee ◽  
Ching-Jer Huang
Keyword(s):  
Kinetic Theory ◽  
Granular Flows ◽  
Inclined Planes ◽  
Dense Granular Flows

scholarly journals Monodisperse dry granular flows on inclined planes: Role of roughness

2003 ◽  
Vol 11 (2) ◽  
pp. 147-157 ◽  
Author(s):  
C. Goujon ◽  
N. Thomas ◽  
B. Dalloz-Dubrujeaud
Keyword(s):  
Granular Flows ◽  
Inclined Planes

scholarly journals Underwater granular flows down inclined planes

2014 ◽  
pp. 473-478
Author(s):  
K Kumar ◽  
K Soga ◽  
J-Y Delenne
Keyword(s):  
Granular Flows ◽  
Inclined Planes

Submarine granular flows down inclined planes

2005 ◽  
Vol 17 (10) ◽  
pp. 103301 ◽  
Author(s):  
C. Cassar ◽  
M. Nicolas ◽  
O. Pouliquen
Keyword(s):  
Granular Flows ◽  
Inclined Planes

Scaling laws for segregation forces in dense sheared granular flows

2016 ◽  
Vol 807 ◽  
Author(s):  
François Guillard ◽  
Yoël Forterre ◽  
Olivier Pouliquen
Keyword(s):  
Large Particle ◽  
Scaling Laws ◽  
Granular Flows ◽  
Optical Tweezer ◽  
Force Measurements ◽  
Empirical Expression ◽  
Negative Segregation ◽  
Flow Parameters ◽  
Particle Size Ratio ◽  
Stress Inhomogeneity

In order to better understand the mechanism governing segregation in dense granular flows, the force experienced by a large particle embedded in a granular flow made of small particles is studied using discrete numerical simulations. Accurate force measurements have been obtained in a large range of flow parameters by trapping the large particle in a harmonic potential well to mimic an optical tweezer. Results show that positive or negative segregation lift forces (perpendicular to the shear) exist depending on the stress inhomogeneity. An empirical expression of the segregation force is proposed as a sum of a term proportional to the gradient of pressure and a term proportional to the gradient of shear stress, which both depend on the local friction and particle size ratio.

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