The dam-break problem for concentrated suspensions of neutrally buoyant particles

Ancey, Christophe; Andreini, Nicolas; Épely-Chauvin, Gaël

doi:10.1017/jfm.2013.154

Cited by 15 publications

(10 citation statements)

References 43 publications

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“…Other configurations share some similarities with the present liquid-saturated granular column, namely, the slumping of a neutrally buoyant suspension [19][20][21][22][23] and the fully immersed granular collapse [24][25][26][27][28][29][30]. In the first case, the density of the interstitial fluid and that of the grains is similar and hence the granular pressure is canceled.…”

Section: Introductionsupporting

confidence: 52%

Collapse of a liquid-saturated granular column on a horizontal plane

2019

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Laboratory experiments on the collapse of a liquid-saturated granular column on a horizontal plane are reported. The trigger and the resulting dynamics of the collapse when occurring, as well as the shape of the final deposit, are characterized and analyzed in light of some dimensionless parameters, namely, the "column" Bond number Bo, the grain diameter to capillary length ratio d/l c , the initial aspect ratio a, the Stokes number St, and the initial volume fraction φ, by varying the properties of the interstitial fluid and of the grains, the geometry, and the compaction of the initial granular column. The main contribution of this study is to: (i) provide a diagram of the different regimes of collapse shown to be mostly controlled by capillary effect, (ii) develop simple criteria that capture the transitions between each regime in terms of critical values of the Bond number and the ratio of the grain diameter to the capillary length, (iii) extend a predictive model of the runout for dry collapses to the more general case of liquid-saturated granular collapses, and (iv) quantify the influence of a, St, and φ on the collapse dynamics and the shape of the final deposit in the capillary-free regime. A perspective description of the role of the interstitial fluid on the spreading of the granular medium, and more particularly of the driving role of the fluid, is discussed and argued on the basis of the present set of experiments.

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Section: Introductionsupporting

confidence: 52%

Collapse of a liquid-saturated granular column on a horizontal plane

2019

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“…It is interesting to point out that the shape of velocity u is blunting in contrast to the parabolic profile for homogeneous Newtonian fluids, which is in good agreement with the experimental observation in Ref. 17. Figure 7 compares the fluxes f (φ 0 ) and g (φ 0 ) for buoyant and negatively buoyant particles for α = 30…”

Section: B Buoyant Particlessupporting

confidence: 85%

“…This paper fills this gap in the literature, developing the appropriate similarity solution theory for the newer class of conservation laws resulting in quantitatively different solutions that better match experimental data. In addition, very recent experiments have been conducted for neutrally buoyant particles 17 over a wide range of system parameters such as the particle concentration and the incline of the slope. The authors address the role of the particle migration on the shape of the velocity profile as well as the good performance of the lubrication theory in predicting the front position.…”

Section: Introductionmentioning

confidence: 99%

Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film

et al. 2015

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We employ a recently proposed model [Murisic et al., “Dynamics of particle settling and resuspension in viscous liquids,” J. Fluid. Mech. 717, 203–231 (2013)] to study a finite-volume, particle-laden thin film flowing under gravity on an incline. For negatively buoyant particles with concentration above a critical value and buoyant particles, the particles accumulate at the front of the flow forming a particle-rich ridge, whose similarity solution is of the rarefaction-singular shock type. We investigate the structure in detail and find that the particle/fluid front advances linearly to the leading order with time to the one-third power as predicted by the Huppert solution [H. E. Huppert, “Flow and instability of a viscous current down a slope,” Nature 300, 427–419 (1982)] for clear fluid (i.e., in the absence of particles). We also explore a deviation from this law when the particle concentration is high. Several experiments are carried out with both buoyant and negatively buoyant particles whose results qualitatively agree with the theoretics.

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“…It can be noted that α = 2.5 is consistent with Einstein's model at small φ. However, even if this value of α can be found in the literature (Ovarlez, Bertrand & Rodts 2006;Huang & Bonn 2007), a value of αφ m = 2 is more widely used to describe experimental results (Ovarlez et al 2006;Mueller, Llewellin & Mader 2010;Boyer, Guazzelli & Pouliquen 2011;Ancey, Andreini & Epely-Chauvin 2013a;Dbouk, Lobry & Lemaire 2013;Espín & Kumar 2014a,b). The physical origin of this exponent is therefore still not clear.…”

Section: Introductionmentioning

confidence: 99%

Collapse of a neutrally buoyant suspension column: from Newtonian to apparent non-Newtonian flow regimes

2017

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Experiments on the collapse of non-colloidal and neutrally buoyant particles suspended in a Newtonian fluid column are presented, in which the initial volume fraction of the suspension $\unicode[STIX]{x1D719}$, the viscosity of the interstitial fluid $\unicode[STIX]{x1D707}_{f}$, the diameter of the particles $d$ and the mixing protocol, i.e. the initial preparation of the suspension, are varied. The temporal evolution of the slumping current highlights two main regimes: (i) an inertial-dominated regime followed by (ii) a viscous-dominated regime. The inertial regime is characterized by a constant-speed slumping which is shown to scale as in the case of a classical inertial dam-break. The viscous-dominated regime is observed as a decreasing-speed phase of the front evolution. Lubrication models for Newtonian and power-law fluids describe most of situations encountered in this regime, which strongly depends on the suspension parameters. The temporal evolution of the propagating front is used to extract the rheological parameters of the fluid models. At the early stages of the viscous-dominated regime, a constant effective shear viscosity, referred to as an apparent Newtonian viscous regime, is found to depend only on $\unicode[STIX]{x1D719}$ and $\unicode[STIX]{x1D707}_{f}$ for each mixing protocol. The obtained values are shown to be well fitted by the Krieger–Dougherty model whose parameters involved, say a critical volume fraction $\unicode[STIX]{x1D719}_{m}$ and the exponent of divergence, depend on the mixing protocol, i.e. the microscale interaction between particles. On a longer time scale which depends on $\unicode[STIX]{x1D719}$, the front evolution is shown to slightly deviate from the apparent Newtonian model. In this apparent non-Newtonian viscous regime, the power-law model, indicating both shear-thinning and shear-thickening behaviours, is shown to be more appropriate to describe the front evolution. The present experiments indicate that the mixing protocol plays a crucial role in the selection of a shear-thinning or shear-thickening type of collapse, while the particle diameter $d$ and volume fraction $\unicode[STIX]{x1D719}$ play a significant role in the shear-thickening case. In all cases, the normalized effective consistency of the power-law fluid model is found to be a unique function of $\unicode[STIX]{x1D719}$. Finally, an apparent viscoplastic regime, characterized by a finite length spreading reached at finite time, is observed at high $\unicode[STIX]{x1D719}$. This regime is mostly observed for volume fractions larger than $\unicode[STIX]{x1D719}_{m}$ and up to a volume fraction $\unicode[STIX]{x1D719}_{M}$ close to the random close packing fraction at which the initial column remains undeformed on opening the gate.

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The dam-break problem for concentrated suspensions of neutrally buoyant particles

Cited by 15 publications

References 43 publications

Collapse of a liquid-saturated granular column on a horizontal plane

Collapse of a liquid-saturated granular column on a horizontal plane

Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film

Collapse of a neutrally buoyant suspension column: from Newtonian to apparent non-Newtonian flow regimes

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