Three-dimensional granular column collapse: Impact of column thickness

Zhang, Ruixiao; Su, Dong; Lei, Guoping; Chen, Xiang-Sheng

doi:10.1016/j.powtec.2021.05.043

Cited by 18 publications

(7 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that this weak impact of the channel width on the collapse rest state was also observed in the recent DEM simulations of Zhang et al. (2021), which report negligible impact of the width for cm for the collapse of granular columns similar to ours.…”

Section: Revisiting Features Of Granular Collapses With 3-d Simulatio...supporting

confidence: 90%

“…While the early collapse dynamics, outlined by the static-flowing transition contours, seems impacted for narrow channels, the influence of the width on the free surface height appears negligible for W ≥ 6 cm, and wall friction only starts to play a significant role on the final deposit for very narrow channels W 1 cm. Note that this weak impact of the channel width on the collapse rest state was also observed in the recent DEM simulations of Zhang et al (2021), which report negligible The 2-D equivalent friction coefficient determined to best match the corresponding 3-D final free-surface, as a function of the channel width, for the 0 • and 15 • beads collapses. Our results seem compatible with a linear dependency, which we illustrate by the dashed fit.…”

Section: Impact Of the Channel Width In Transient Collapsessupporting

confidence: 65%

“…As mentioned above, we use an initial column aspect ratio of a = 1 to increase the effect of wall friction on H f . In fact, as already observed by for example Balmforth & Kerswell (2005) or Zhang et al (2021), the upslope part of the column remains static for aspect ratios a below 0.5 in the horizontal case, so that the final upslope height cannot help assess the role of lateral confinement for such stocky collapses.…”

Section: Equivalent 2-d Friction Coefficientmentioning

confidence: 87%

“…Experimental conditions are similar to the aforementioned 0 • collapse, but with initial column dimensions of H 0 = L 0 = 12 cm, giving an aspect ratio a = 1, which allows us to make the effects of the walls more visible on the final upslope height (cf. Balmforth & Kerswell (2005) or Zhang et al (2021)), thereby providing a simple measure to compare the effect of lateral friction, which we shall use to determine the corresponding 2-D effective friction in § 5.2. The corresponding numerical collapses are carried out consistently, using the constant bulk friction coefficient μ = 0.44 and a friction coefficient between the material and the walls μ w = 0.23.…”

Section: Experimental Validation Of Wall Friction Effectmentioning

confidence: 99%

“…Balmforth & Kerswell (2005) or Zhang et al. (2021)), thereby providing a simple measure to compare the effect of lateral friction, which we shall use to determine the corresponding 2-D effective friction in § 5.2. The corresponding numerical collapses are carried out consistently, using the constant bulk friction coefficient and a friction coefficient between the material and the walls .…”

Section: Validation: Numerics Versus Experimentsmentioning

confidence: 99%

See 4 more Smart Citations

Revisiting the role of friction coefficients in granular collapses: confrontation of 3-D non-smooth simulations with experiments

Rousseau,

Métivet,

Rousseau

et al. 2023

J. Fluid Mech.

View full text Add to dashboard Cite

In this paper, transient granular flows are examined both numerically and experimentally. Simulations are performed using the continuous three-dimensional (3-D) granular model introduced in Daviet & Bertails-Descoubes (ACM Trans. Graph., vol. 35, no. 4, 2016b, p. 102), which represents the granular medium as an inelastic and dilatable continuum subject to the Drucker–Prager yield criterion in the dense regime. One notable feature of this numerical model is to resolve such a non-smooth rheology without any regularisation. We show that this non-smooth model, which relies on a constant friction coefficient, is able to reproduce with high fidelity various experimental granular collapses over inclined erodible beds, provided the friction coefficient is set to the avalanche angle – and not to the stop angle, as generally done. In order to better characterise the range of validity of the fully plastic rheology in the context of transient frictional flows, we further revisit scaling laws relating the shape of the final collapse deposit to the initial column aspect ratio, and accurately recover established power-law dependences up to aspect ratios of the order of 10. The influence of sidewall friction is then examined through experimental and simulated collapses with varying channel widths. The analysis offers a comprehensive framework for estimating the effective flow thickness in relation to the channel width, thereby challenging previously held assumptions regarding its estimation in the literature. Finally, we discuss the possibility to extend the constant coefficient model with a hysteretic model in order to refine the predictions of the early-stage dynamics of the collapse. This illustrates the potential effects of such phenomenology on transient flows, paving the way to more elaborate analysis.

show abstract

Section: Revisiting Features Of Granular Collapses With 3-d Simulatio...supporting

confidence: 90%

Section: Impact Of the Channel Width In Transient Collapsessupporting

confidence: 65%