Nonlocal Rheology of Granular Flows across Yield Conditions

Bouzid, Mehdi; Trulsson, Martin; Claudin, Philippe; Clément, Éric; Andreotti, Bruno

doi:10.1103/physrevlett.111.238301

Cited by 208 publications

(280 citation statements)

References 40 publications

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“…The typical size of such correlated structure scales with the inertial number with a power law, which is consistent with the scaling of non-local length measured in various systems [5,10,11]. By considering the existence of such structures in an arbitrary non-homogeneous flows, we derived a general non-local relation which is similar in form to the KEP model.…”

Section: Discussionsupporting

confidence: 79%

“…Similar scaling has been observed for other non-local length scales [5,10,11] measured indirectly in various systems, which suggests a possible relation between the clusters and non-locality.…”

Section: Multiple Shear Bands and Clusters In Homogeneous Shear Flowsupporting

confidence: 83%

“…Various non-local models have been introduced that successfully account for these situations [4,5,[7][8][9][10][11][12]. In spite of the differences in their formulations, these nonlocal models are all based on the key assumption that there exists a meso-scale length which is larger than the grain size d and that it represents the extent of non-locality, i.e., the influence on the flow at one point due to flows at its neighbouring points.…”

Section: Introductionmentioning

confidence: 99%

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Partial jamming and non-locality in dense granular flows

Kharel

Rognon

2017

EPJ Web Conf.

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Abstract. Dense granular flows can exhibit non-local flow behaviours that cannot be predicted by local constitutive laws alone. Such behaviour is accompanied by the existence of diverging cooperativity length. Here we show that this length can be attributed to the development of transient clusters of jammed particles within the flow. By performing DEM simulation of dense granular flows, we directly measure the size of such clusters which scales with the inertial number with a power law. We then derive a general non-local relation based on kinematic compatibility for the existence of clusters in an arbitrary non-homogenous flow. The kinematic nature of this derivation suggests that non-locality should be expected in any material regardless of their local constitutive law, as long as transient clusters exist within the flow.

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Section: Discussionsupporting

confidence: 79%

Section: Multiple Shear Bands and Clusters In Homogeneous Shear Flowsupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

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Partial jamming and non-locality in dense granular flows

Kharel

Rognon

2017

EPJ Web Conf.

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“…The time evolution of the drag force F (t) extracted from the image analysis [Eq. (8)] is reported in Fig. 2(a) together with the global measurements from the piezoelectric sensor.…”

Section: Image Analysismentioning

confidence: 99%

Local rheological measurements in the granular flow around an intruder

et al. 2016

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The rheological properties of granular matter within a two-dimensional flow around a moving disk is investigated experimentally. Using a combination of photoelastic and standard tessellation techniques, the strain and stress tensors are estimated at the grain scale in the time-averaged flow field around a large disk pulled at constant velocity in an assembly of smaller disks. On the one hand, one observes inhomogeneous shear rate and strongly localized shear stress and pressure fields. On the other hand, a significant dilation rate, which has the same magnitude as the shear strain rate, is reported. Significant deviations are observed with local rheology that justify the need of searching for a non-local rheology.

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“…A possibility would be to measure velocity profiles through transparent lateral walls, to design a two dimensional flow or to use discrete element methods. As the local frictional rheology μ(I) does not predict a static deposit or a height threshold, that is one major limitation of μ(I) until today, alternatives would be to consider a non-local rheology [20,21], or to write the friction law as a function of I and h: μ(I, h) [7,22]. We made some experiments with a smooth bottom plane.…”

Section: Resultsmentioning

confidence: 99%

Stopping dynamics of a steady uniform granular flow over a rough incline

et al. 2017

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Abstract. Granular material flowing on complex topographies are ubiquitous in industrial and geophysical situations. Even model granular flows are difficult to understand and predict. Recently, the frictional rheology μ(I) -describing the ratio of the shear stress to the normal stress as a function of the inertial number I, that compares inertial and confinement effects-allows unifying different configurations of granular flows. However it does not succeed in describing some phenomenologies, such as creep flow, deposit height, ... Is it attributable to the rheology, to non-local effects, ...? Here, we consider a thin layer of grains flowing steadily and uniformly on a rough incline, when the input mass flow rate is suddenly stopped. We focus on the arrest dynamics by using both experimental and numerical approaches. We measure the height and surface velocities of the granular layer during the long-time stopping dynamics and we compare our experimental results with computations of depthaveraged equations for a fluid of rheology μ(I).

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Nonlocal Rheology of Granular Flows across Yield Conditions

Cited by 208 publications

References 40 publications

Partial jamming and non-locality in dense granular flows

Partial jamming and non-locality in dense granular flows

Local rheological measurements in the granular flow around an intruder

Stopping dynamics of a steady uniform granular flow over a rough incline

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