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

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 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.

scholarly journals Self-diffusion scalings in dense granular flows

Soft Matter ◽  
2021 ◽  
Author(s):  
Riccardo Artoni ◽  
Michele Larcher ◽  
James T. Jenkins ◽  
Patrick Richard
Keyword(s):  
Shear Rate ◽  
Solid Fraction ◽  
Granular Flows ◽  
The Self ◽  
Granular Temperature ◽  
Restitution Coefficient ◽  
Self Diffusion ◽  
Diffusivity Tensor ◽  
Dense Granular Flows

The self-diffusivity tensor in homogeneously sheared dense granular flows is anisotropic. We show how its components depend on solid fraction, restitution coefficient, shear rate, and granular temperature.

Shock waves in dense granular flows down a chute

Shock Waves ◽  
2007 ◽  
Vol 17 (5) ◽  
pp. 337-349 ◽  
Author(s):  
Piroz Zamankhan
Keyword(s):  
Shock Waves ◽  
Granular Flows ◽  
Dense Granular Flows

Shear induced diffusion in dense granular flows

2010 ◽  
Author(s):  
Ashish V. Orpe ◽  
Chris H. Rycroft ◽  
Arshad A. Kudrolli ◽  
Joe Goddard ◽  
Pasquale Giovine ◽  
...  
Keyword(s):  
Granular Flows ◽  
Dense Granular Flows

scholarly journals Numerical tests of constitutive laws for dense granular flows

2005 ◽  
Vol 72 (5) ◽  
Author(s):  
Gregg Lois ◽  
Anaël Lemaître ◽  
Jean M. Carlson
Keyword(s):  
Granular Flows ◽  
Constitutive Laws ◽  
Numerical Tests ◽  
Dense Granular Flows
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