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On dense granular flows.

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TLDR
A quantitative comparison between data coming from different experiments in the same geometry identifies the robust features in each case and a transverse analysis of the data across the different configurations allows to identify the relevant dimensionless parameters, the different flow regimes and to propose simple interpretations.
Abstract
The behaviour of dense assemblies of dry grains submitted to continuous shear deformation has been the subject of many experiments and discrete particle simulations. This paper is a collective work carried out among the French research group Groupement de Recherche Milieux Divises (GDR MiDi). It proceeds from the collection of results on steady uniform granular flows obtained by different groups in six different geometries both in experiments and numerical works. The goal is to achieve a coherent presentation of the relevant quantities to be measured i.e. flowing thresholds, kinematic profiles, effective friction, etc. First, a quantitative comparison between data coming from different experiments in the same geometry identifies the robust features in each case. Second, a transverse analysis of the data across the different configurations, allows us to identify the relevant dimensionless parameters, the different flow regimes and to propose simple interpretations. The present work, more than a simple juxtaposition of results, demonstrates the richness of granular flows and underlines the open problem of defining a single rheology.

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Citations
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Journal ArticleDOI

Coarse-grained local and objective continuum description of three-dimensional granular flows down an inclined surface

TL;DR: In this article, a coarse-grained model for steady-state granular flows was proposed, where the macroscopic fields involved density, velocity, granular temperature, as well as strain-rate, stress, and fabric structure tensors.
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Well-posed and ill-posed behaviour of the -rheology for granular flow

TL;DR: In this article, the Coulomb rheology is shown to be well-posed for intermediate values of, but not for high and low inertial numbers, which is not obvious from casual inspection of the equations, and suggests that additional physics such as enduring force chains and binary collisions becomes important in these limits.
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A dynamical systems approach to mixing and segregation of granular materials in tumblers

TL;DR: In this article, a simple, compact and extensible continuum-based dynamical systems framework is proposed for time-periodic flow in quasi-two-dimensional (2D) systems.
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Non-local rheology in dense granular flows: Revisiting the concept of fluidity.

TL;DR: In this article, Bocquet et al. review and compare various approaches based on different constitutive relations and choices for the fluidity parameter, focusing on the kinetic elasto-plastic model introduced by BOCquet et.
Journal ArticleDOI

A two-phase flow description of the initiation of underwater granular avalanches

TL;DR: In this paper, a theoretical model based on a depth-averaged version of two-phase flow equations is developed to describe the initiation of underwater granular avalanches, which is able to describe both the dilatancy effects experienced by the granular skeleton during the initial deformations and the rheology of wet granular media when the flow is fully developed.
References
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Journal ArticleDOI

Dynamics of viscoplastic deformation in amorphous solids

TL;DR: In this article, a dynamical theory of low-temperature shear deformation in amorphous solids is proposed based on molecular-dynamics simulations of a two-dimensional, two-component non-crystalline system.
Journal ArticleDOI

Rapid granular flows

TL;DR: In this article, the authors present a review of the fluid-like behavior of granular solids and, in particular, those flows for which the material is rapidly sheared, and discuss various modeling techniques used to describe the motion of the bulk material.
Book

Statics and Kinematics of Granular Materials

TL;DR: In this article, Coulomb's method of wedges and differential slices were used to determine the stress and strain rate of Coulomb material, and the conical yield function was used to predict mass flow rate.
Journal ArticleDOI

Granular flow down an inclined plane: Bagnold scaling and rheology

TL;DR: A systematic, large-scale simulation study of granular media in two and three dimensions, investigating the rheology of cohesionless granular particles in inclined plane geometries, finds that a steady-state flow regime exists in which the energy input from gravity balances that dissipated from friction and inelastic collisions is found.
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