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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

Flowing resistance and dilatancy of dense suspensions: lubrication and repulsion

TL;DR: In this article, the authors focus on a non-Brownian and Stokesian suspension of elastic spheres, as a way to identify the effect on the collective behaviour of two short-range interactions: lubrication and steric repulsion below a tunable range.
Journal ArticleDOI

Relaxation-type nonlocal inertial-number rheology for dry granular flows.

TL;DR: A constitutive model to describe the nonlocality, hysteresis, and several flow features of dry granular materials is proposed, and a dimensionless parameter reflecting the nonlocal effect on the flow is discovered, which controls the transition between Bagnold and creeping flow dynamics.
Journal ArticleDOI

Segregation of large particles in dense granular flows: A granular Saffman effect?

TL;DR: In this article, the scaling between the lift force and the velocity lag experienced by a single particle of different size in a monodisperse dense granular chute flow was investigated.
Journal ArticleDOI

Analytical solution of the $$\mu (I)-$$rheology for fully developed granular flows in simple configurations

TL;DR: In this paper, the authors study steady and fully developed granular flows in two configurations: a plane shear cell and a channel made of two parallel plates (Poiseuille configuration) and show that the granular medium behaves like a fluid whose viscosity is a function of the inertia.
Dissertation

Stochastic and deterministic models for dense granular flow

Ken Kamrin
TL;DR: In this article, two models are developed for dense granular flow, each capable of predicting flows with accuracy in multiple environments, based on differing perspectives of grain-level dynamics, with one deriving flow from a stochastic mechanism and the other from a deterministic deformation law.
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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