On the angles of dry granular heaps

Grasselli, Yan; Herrmann, Hans J.

doi:10.1016/s0378-4371(97)00326-9

Cited by 87 publications

(82 citation statements)

References 8 publications

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“…This link comes from the assumption (25). By imposing a fixed velocity gradient (or a particular velocity profile), we impose a relation between the depth of the flow and its velocity.…”

Section: Flow Hypothesis and Height Equationsmentioning

confidence: 99%

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On granular surface flow equations

1999

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Abstract. Conservation equations are written for surface flows (either fluid or granular). The particularity of granular surface flows is then pointed out, namely that the depth of the flowing layer is not a priori fixed, leading to open equations. It is shown how some hypothesis on the flowing layer allows to close the system of equations. A possible hypothesis, similar to that made for a fluid layer, but inspired from granular flow experiments, is presented. The force acting on the flowing layer is discussed. Averaging over the flowing depth, as in shallow water theory, then allows to transform these conservation laws into equations for the evolution of the profile of a granular pile. Apart from their interest for building models, these conservation laws can be used to measure experimentally the effective forces acting on a flowing layer.

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“…This link comes from the assumption (25). By imposing a fixed velocity gradient (or a particular velocity profile), we impose a relation between the depth of the flow and its velocity.…”

Section: Flow Hypothesis and Height Equationsmentioning

confidence: 99%

“…A typical example could be an exponential function (inspired from experiments [21][22][23][24][25]), as drawn in Figure 6 with a parabolic µ d (H ). Developing for small H , and assuming a linear variation of r around 0 (regularity), we found for tan(θ) ≤ µ s :…”

Section: Force and Driving Termsmentioning

confidence: 99%

On granular surface flow equations

1999

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“…Most of laboratory model experiments on granular physics are led using experimental set-up where granular media is confined. Lateral wall effects on pile angles have recently been studied both experimentally [5,6,7] and numerically [7]. Grasselli and Herrmann [5] measured the angle of repose for dry glass beads of different diameter d (0.1 ≤ d ≤ 0.5 mm), by slowly filling from one side a rectangular glass cell of gap width b in the range 1 < b < 10 mm.…”

mentioning

confidence: 99%

“…Lateral wall effects on pile angles have recently been studied both experimentally [5,6,7] and numerically [7]. Grasselli and Herrmann [5] measured the angle of repose for dry glass beads of different diameter d (0.1 ≤ d ≤ 0.5 mm), by slowly filling from one side a rectangular glass cell of gap width b in the range 1 < b < 10 mm. Boltenhagen [6] measured the angle of movement of dry millimetric glass beads (1 ≤ d ≤ 4 mm) by tilting a Plexiglas rectangular cell (8 < b/d < 100).…”

mentioning

confidence: 99%

Wall effects on granular heap stability

Pont¹,

Gondret²,

Perrin³

et al. 2003

Europhys. Lett.

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Abstract. -We investigate the effects of lateral walls on the angle of movement and on the angle of repose of a granular pile. Our experimental results for beads immersed in water are similar to previous results obtained in air and to recent numerical simulations. All of these results, showing an increase of pile angles with a decreasing gap width, are explained by a model based on the redirection of stresses through the granular media. Two regimes are observed depending on the bead diameter. For large beads, the range of wall effects corresponds to a constant number of beads whereas it corresponds to a constant characteristic length for small beads as they aggregate via van der Waals forces.

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“…In recent years, some scholars individually conducted detailed studies on the granular accumulation characteristic by molecular dynamics and discrete element method in order to calculate and predict the granular movement state more accurately [1][2], [3].…”

Section: Introductionmentioning

confidence: 99%

Discrete Element Analysis of Friction Coefficient on Granular Accumulation

Zhao

Wang

et al. 2011

AEF

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Abstract. Discrete element method (DEM) is applied to study the granular accumulation problem. Using Herz-Mindlin (no slip) model to simulate particles and container model is also established by software. When the container elevates, the process of granular falling and collision can be observed. Detailed analysis of that the impact of static and rolling friction coefficient for particles -particles, particles -flat on angle of repose is accomplished. The variation law is also further validated from the energy point of view. The results show that rolling friction has a greater impact on angle of repose than static friction, and rolling friction coefficient among particles play the more prominent role in the two kinds of rolling friction. The research method and results provide a theoretical reference for the granular movement and DEM analysis.

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On the angles of dry granular heaps

Cited by 87 publications

References 8 publications

On granular surface flow equations

On granular surface flow equations

Wall effects on granular heap stability

Discrete Element Analysis of Friction Coefficient on Granular Accumulation

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