Time-varying force from dense granular avalanches on a wall

Chanut, Benoit; Faug, Thierry; Naaïm, Mohamed

doi:10.1103/physreve.82.041302

Cited by 24 publications

(61 citation statements)

References 44 publications

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“…Further details can be found in previous studies [20,21]. Figure 1 gives a sketch of the flow geometry upstream of the obstacle.…”

Section: Depth-averaged Momentum Conservationmentioning

confidence: 99%

“…where F is the total normal force on the wall and ℓ c is the channel width, which has to be taken into account here contrary to two dimensional DEM simulations reported in [21]. h,ū andφ are, respectively, the flow thickness, the depth-averaged velocity and volume fraction at section S (see Fig.1).…”

Section: Depth-averaged Momentum Conservationmentioning

confidence: 99%

“…This paper focuses on channelized dense dry granular avalanches overflowing a flat obstacle spanning the channel. The time-varying force on the wall exerted by the free-surface gravity-driven flow is analysed by cross-comparing the new laboratory tests and the prediction of an analytical model based on depth-averaged momentum conservation previously developed for 2D granular flows and calibrated using discrete element method (DEM) numerical simulations [20,21]. In presence of a large obstacle: a wall spanning the flow, these experiments show the formation of a quasi-static stagnant zone upstream of the wall which co-exists with an inertial zone overflowing the wall: see Fig.1.…”

Section: Introductionmentioning

confidence: 99%

“…Section 3 is dedicated to a succinct description of the analytical model (previously reported in detail in [20] for the steady regime and in [21] for the avalanche regime), which aims at predicting the force from a granular avalanche on a wall in presence of a dead zone. Section 4 deals with the cross-comparison between the laboratory data and the model's prediction in term of the time-varying force on the wall.…”

Section: Introductionmentioning

confidence: 99%

“…The present paper focuses on the cross-comparison between the laboratory data and the analytical model recently proposed to describe the force from granular avalanches on the wall when a stagnant zone co-exists with a flowing zone above [21]. The model's equations to link the force to incoming flow depth and velocity are presented in the following section.…”

mentioning

confidence: 99%

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Equation for the force experienced by a wall overflowed by a granular avalanche: Experimental verification

Faug¹,

Caccamo²,

Chanut³

2011

Phys. Rev. E

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“…Further details can be found in previous studies [20,21]. Figure 1 gives a sketch of the flow geometry upstream of the obstacle.…”

Section: Depth-averaged Momentum Conservationmentioning

confidence: 99%

Section: Depth-averaged Momentum Conservationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Equation for the force experienced by a wall overflowed by a granular avalanche: Experimental verification

Faug¹,

Caccamo²,

Chanut³

2011

Phys. Rev. E

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Solid–fluid transition modelling in geomaterials and application to a mudflow interacting with an obstacle

Prime

Dufour

Darve

2014

Num Anal Meth Geomechanics

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SUMMARY Given the contrasting behaviour observed for geomaterials, for example, during landslides of the flow type, this contribution proposes an original constitutive model, which associates both an elasto‐plastic relation and a Bingham viscous law linked by a mechanical transition criterion. This last is defined as the second‐order work sign for each material point, which is a general criterion for divergence instabilities. Finite element method with Lagrangian integration points is chosen as a framework for implementing the new model because of its well‐known ability to deal with both solid and fluid behaviours in large deformation processes. A first boundary model considering a sample of initially stable soil, a slope and an obstacle is performed. The results show the power of the constitutive model because the consistent evolution of initiation, propagation and arrest of the mudflow is described. A parametric study is led on various plastic and viscous parameters to determine their influence on the flow development and arrest. Finally, forces against the obstacle are compared with good agreement with those of other authors for the same geometry and a pure viscous behaviour. Copyright © 2014 John Wiley & Sons, Ltd.

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Numerical investigations of the force experienced by a wall subject to granular lid-driven flows: regimes and scaling of the mean force

et al. 2015

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Discrete element simulations are used to model a two-dimensional gravity-free granular sample, which is trapped between two smooth sidewalls and one bottom rough wall while being subject to a constant shearing velocity at the top under a given confinement pressure. This system, inspired by conventional fluid mechanics, is called a granular liddriven cavity. Attention is firstly paid to the time-averaged dynamics of the grains once a steady-state is reached. Strong spatial heterogeneities associated with a large-scale vortex formed within the whole volume of the lid-driven cavity are observed. The mean steady force on the sidewall facing the shearing velocity is then investigated in detail for different cavity lengths, shearing velocities and confinement pressures at the top. The ratio of the force on the latter wall to the top confinement pressure force is not constant but depends on both the shearing velocity and the confinement pressure. Above a critical value of the cavity length relative to the wall height and over a wide range of both shearing velocity and top confinement pressure, all data merge into a one-to-one relation between the mean force scaled by the top pressure force and the macroscopic inertial number of the lid-driven cavity. This result reveals the key role played by the inertial rheology of the granular material in the granular force transmission.

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Time-varying force from dense granular avalanches on a wall

Abstract: We studied avalanches of cohesionless granular materials down a rough inclined plane and overflowing a wall normal to the incoming flow and to the bottom. This paper focuses on the transient

Cited by 24 publications

References 44 publications

Equation for the force experienced by a wall overflowed by a granular avalanche: Experimental verification

Equation for the force experienced by a wall overflowed by a granular avalanche: Experimental verification

Solid–fluid transition modelling in geomaterials and application to a mudflow interacting with an obstacle

Numerical investigations of the force experienced by a wall subject to granular lid-driven flows: regimes and scaling of the mean force

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