Effective Wall Friction in Wall-Bounded 3D Dense Granular Flows

Artoni, Riccardo; Richard, Patrick

doi:10.1103/physrevlett.115.158001

Cited by 53 publications

(84 citation statements)

References 39 publications

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“…A full characterisation of the system in terms of the other variables (stresses, fluctuating energy balance, wall fields) will be given elsewhere. It has to be noted that an analysis of wall friction and wall slip in a similar geometry has recently appeared [31].…”

Section: Resultsmentioning

confidence: 99%

Torsional shear flow of granular materials: shear localization and minimum energy principle

Artoni¹,

Richard²

2016

Comp. Part. Mech.

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The rheological properties of granular matter submitted to torsional shear are investigated numerically by means of Discrete Element Method. The shear cell is made of a cylinder filled by grains which are sheared by a bumpy bottom and submitted to a vertical pressure which is applied at the top. Regimes differing by their strain localization features are observed. They originate from the competition between dissipation at the sidewalls and dissipation in the bulk of the system. The effects of the (i) the applied pressure (ii) sidewall friction and (iii) angular velocity are investigated. A model, based on the purely local µ(I)-rheology and a minimum energy principle is able to capture the effect of the two former quantities but unable to account the effect of the latter. Although, an ad-hoc modification of the model allows to reproduce all the numerical results, our results point out the need for an alternative rheology.

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Section: Resultsmentioning

confidence: 99%

Torsional shear flow of granular materials: shear localization and minimum energy principle

Artoni¹,

Richard²

2016

Comp. Part. Mech.

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“…Consistent with the focus of the present work, we will demonstrate that our implementation is capable of handling all types of fluidity boundary conditions by showing mesh convergence for bothζ = 0 and g = 0 fluidity boundary conditions. A more concrete understanding of the physics of the fluidity boundary condition will require detailed experiments and discrete-element method calculations to probe the relationship between the wall condition and the fluidity, and recent work has begun to address this open research question [60,61].…”

Section: Fluidity Boundary Conditionsmentioning

confidence: 99%

A finite element implementation of the nonlocal granular rheology

Henann¹,

Kamrin²

2016

Numerical Meth Engineering

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SUMMARYInhomogeneous flows involving dense particulate media display clear size effects, in which the particle length scale has an important effect on flow fields. Hence, nonlocal constitutive relations must be used in order to predict these flows. Recently, a class of nonlocal fluidity models have been developed for emulsions and subsequently adapted to granular materials. These models have successfully provided a quantitative description of experimental flows in many different flow configurations. In this work, we present a finiteelement-based numerical approach for solving the nonlocal constitutive equations for granular materials, which involve an additional, non-standard nodal degree-of-freedom -the granular fluidity, which is a scalar state parameter describing the susceptibility of a granular element to flow. Our implementation is applied to three canonical inhomogeneous flow configurations: (i) linear shear with gravity, (ii) annular shear flow without gravity, and (iii) annular shear flow with gravity. We verify our implementation, demonstrate convergence, and show that our results are mesh-independent.

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“…We start with the hypothesis that for hard particles, g should relate to velocity fluctuations, δv, a quantity key to a number of granular flow models [8,[31][32][33][34][35]. From its constitutive definition, g =γ/µ has dimensions of inverse time.…”

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Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling

2017

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A recent granular rheology based on an implicit 'granular fluidity' field has been shown to quantitatively predict many nonlocal phenomena. However, the physical nature of the field has not been identified. Here, the granular fluidity is found to be a kinematic variable given by the velocity fluctuation and packing fraction. This is verified with many discrete element simulations, which show the operational fluidity definition, solutions of the fluidity model, and the proposed microscopic formula all agree. Kinetic theoretical and Eyring-like explanations shed insight into the obtained form.

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Effective Wall Friction in Wall-Bounded 3D Dense Granular Flows

Cited by 53 publications

References 39 publications

Torsional shear flow of granular materials: shear localization and minimum energy principle

Torsional shear flow of granular materials: shear localization and minimum energy principle

A finite element implementation of the nonlocal granular rheology

Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling

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