A two-fluid model for immersed granular avalanches with dilatancy effects

Montellà, Eduard Puig; Chauchat, Julien; Bonamy, Cyrille; Hsu, Tian‐Jian

doi:10.1017/jfm.2021.666

Cited by 14 publications

(17 citation statements)

References 45 publications

(93 reference statements)

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“…2016; Lee 2021; Montellà et al. 2021), in line with the ‘Reynolds pressure’ concept of Ren, Dijksman & Behringer (2013). Compared to the steady-state rheology model, the Reynolds-like dilatancy law requires the microstructure to reorganize in a strain scale of order .…”

Section: Discussionmentioning

confidence: 52%

“…2012; Bougouin & Lacaze 2018; Montellà et al. 2021), or unsteady two-phase flows in general (Kulkarni et al. 2010; Snook et al.…”

Section: Discussionmentioning

confidence: 99%

“…2012; Bougouin & Lacaze 2018; Montellà et al. 2021), during impacts (Jerome, Vandenberghe & Forterre 2016; Jørgensen, Forterre & Lhuissier 2020), in silo discharge (Kulkarni, Metzger & Morris 2010), and when shearing dense clouds of particles (Metzger & Butler 2012). In the context of initiations of avalanches from initially loose sedimented packings, Pailha & Pouliquen (2009) modelled this feedback by introducing a dilatancy dynamics for , which is essentially a relaxation of towards its steady-state law on a typical strain scale , extending previous Reynolds dilatancy laws proposed for dry granular media in the quasi-static regime (Roux & Radjaï 1998).…”

Section: Introductionmentioning

confidence: 99%

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Transient flows and migration in granular suspensions: key role of Reynolds-like dilatancy

et al. 2022

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We investigate the transient dynamics of a sheared suspension of neutrally buoyant particles in pressure-imposed rheology configuration, subject to a sudden change in shear rate or external pressure. Discrete element method simulations show that, depending on the flow parameters (particle and system size, initial volume fraction), the early stress response of the suspension may differ strongly from the prediction of the suspension balance model based on the steady-state rheology. We show that a two-phase model incorporating the Reynolds-like dilatancy law of Pailha & Pouliquen (J. Fluid Mech., vol. 633, 2009, pp. 115–135), which prescribes the dilation rate of the suspension over a strain scale $\gamma _0$ , captures quantitatively the suspension dilation/compaction over the whole range of parameters investigated. Together with the Darcy flow induced by the pore pressure gradient during dilation or compaction, this Reynolds-like dilatancy implies that the early stress response of the suspension is non-local, with a non-local length scale $\ell$ that scales with the particle size and diverges algebraically at jamming. In regions affected by $\ell$ , the stress level is fixed, not by the steady-state rheology, but by the Darcy fluid pressure gradient resulting from the dilation/compaction rate. Our results extend the validity of the Reynolds-like dilatancy flow rule, initially proposed for jammed suspensions, to flowing suspension below the critical volume fraction at which the suspension jams, thereby providing a unified framework to describe dilation and shear-induced migration. They pave the way for understanding more complex unsteady flows of dense suspensions, such as impacts, transient avalanches or the impulsive response of shear-thickening suspensions.

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Section: Discussionmentioning

confidence: 52%

“…2012; Bougouin & Lacaze 2018; Montellà et al. 2021), or unsteady two-phase flows in general (Kulkarni et al. 2010; Snook et al.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Transient flows and migration in granular suspensions: key role of Reynolds-like dilatancy

et al. 2022

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“…(2011), and two‐phase flow model of Montellà et al. (2021). These two‐phase models based on mixture theory incorporate both the granular dilatancy and the viscoplastic constitutive relation, and hence they might be subject to tremendous computational burden when applied to geophysical submarine granular flows and generated water waves.…”

Section: Introductionmentioning

confidence: 99%

“…Progress in understanding granular flows shows that the combination of the granular dilatancy law and mixture theory (or two-phase averaging theory) is a promising approach to account for submarine landslides, which show distinct behaviors in response to a small change in the initial solids volume fraction. In this context, recent representative works include sediment-fluid mixture theory model of Baumgarten and Kamrin (2019), Rauter's (2021) OpenFOAM implementation of compressible μ(J)-and ϕ(J)-rheology of Boyer et al (2011), and two-phase flow model of Montellà et al (2021). These two-phase models based on mixture theory incorporate both the granular dilatancy and the viscoplastic constitutive relation, and hence they might be subject to tremendous computational burden when applied to geophysical submarine granular flows and generated water waves.…”

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confidence: 99%

A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves

et al. 2023

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Submarine avalanche flows are very destructive to infrastructure. A devastating example is that of a December 2006 submarine avalanche flow in the southwestern sea of Taiwan, which had a major impact on submarine telecommunications cables, interrupting communication between Taiwan and Southeast Asia countries for 12 hours (see Hsu et al., 2008). Moreover, submarine landslides could induce free-surface water waves and even tsunami waves characterized by locally high amplitudes and run up, which can be extraordinarily devastative in the coastline regions and confined water bodies (Mohammed & Fritz, 2012). A typical example is the 1964 Alaska earthquake, which triggered massive subaerial and submarine landslides. These landslides generated extremely destructive tsunami waves that caused significant damage and loss of life along the Alaska coast and as far away as Hawaii and California. The tsunami caused additional damage to buildings and infrastructure, and many coastal communities were completely destroyed. In total, the earthquake and tsunami resulted in 139 deaths and caused an estimated $ 2.3 billion in property losses (in 2013 dollars) (see Brocher et al., 2014). This provides strong motivation for the study of submarine landslides and resulting water waves, in an effort to minimize damage to people and infrastructures.Seafloor observation shows that cohesionless and coarse particles, entraining ambient water, move rapidly down a steep continental slope driven by gravity, forming a layered structure. A dense particle layer develops near the bottom, above which a turbidity current forms whose density is smaller and which could travel a relatively long

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Dynamics of granular debris flows against slit dams based on the CFD–DEM method: effect of grain size distribution and ambient environments

et al. 2023

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Earth surface flows in nature, like debris flows and rock avalanches, have threatened people’s safety and infrastructure during past decades. Though grain size distribution (GSD) has been acknowledged as a crucial characteristic in granular material behaviour, its coupled effects associated with environments on engineering structures such as the slit dam remain unclear. To bridge the gap, this paper reveals the coupled effect of the GSD and ambient environments (i.e. slope angles and saturation conditions) on avalanche/debris flows’ impact on the slit dam using a Computational Fluid Dynamics/Discrete Element Method (CFD–DEM) model. To describe strain-dependent rheological characteristics of debris fluids, the Herschel–Bulkley–Papanastasiou model is implemented in the finite volume method framework. A power grain size distribution law is considered to quantify GSDs, in which a fractal parameter takes charge of GSD types. After model verification with experimental/theoretical results, the impact force against slit dams, granular dynamics and final deposit patterns under a series of ambient circumstances are presented. Taking advantage of the CFD–DEM method, the impact force and kinetic energy induced by fluid and solid phases are discriminated. The contribution of solid and fluid phases to both impact force and dynamics appears to be dependent on GSDs. Accordingly, compared with saturated avalanche flows (i.e. debris flows), slit dams result in higher retaining efficiency when confronted with dry avalanche flows. Regarding a narrow diameter range used in analyses, the grain diameter ratio is then enlarged up to eight to reveal the potential size effect. As for the coupled role of GSDs and slope angles, in contrast to slope angles, the influence of GSD on avalanche flow interaction with slit dams is much smaller. Additionally, provided a narrow diameter range, the effect of GSDs on impact force can be partially attributed to the change in average grain diameter. After presenting the significance of ambience and GSDs to avalanche/debris flows, a series of parametric studies around the effect of fluid grid size, particle shape and the initial porosity of granular samples are discussed, aiming to advance the understanding of their influence in the interactions between debris flows and the slit dam. Please confirm the corresponding affiliation is correctly identified. The corresponding author has changed his affiliation this year but most of this work was conducted in Tongji University. The email address has been changed to the current one because the previous one has been disabled. Please check edit made in the article title. Thanks for kind reminder.

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A two-fluid model for immersed granular avalanches with dilatancy effects

Abstract: Abstract

Cited by 14 publications

References 45 publications

Transient flows and migration in granular suspensions: key role of Reynolds-like dilatancy

Transient flows and migration in granular suspensions: key role of Reynolds-like dilatancy

A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves

Dynamics of granular debris flows against slit dams based on the CFD–DEM method: effect of grain size distribution and ambient environments

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