The compressible granular collapse in a fluid as a continuum: validity of a Navier–Stokes model with , -rheology

Rauter, Matthias

doi:10.1017/jfm.2021.107

Cited by 38 publications

(25 citation statements)

References 59 publications

(246 reference statements)

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“…The dynamic particle behavior in the rotating drum environment is an excellent validation case for multiphase flow models, such as the various frameworks presented in recent literature. [40][41][42][43][44]…”

Section: Discussionmentioning

confidence: 99%

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Experiments on floating bed rotating drums using magnetic particle tracking

et al. 2022

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Magnetic particle tracking (MPT) was employed to study a rotating drum filled with cork particles, using both air and water as interstitial medium. This noninvasive monitoring technique allows for the tracking of both particle translation and rotation in dry granular and liquid-solid systems. Measurements on the dry and floating bed rotating drum were compared and detailed analysis of the bed shape and velocity profiles was performed. It was found that the change of particle-wall and particleparticle interaction caused by the presence of water significantly affects the bed behavior. The decreased friction leads to slipping of the particles with respect to the wall, rendering the circulation rate largely insensitive to increased drum speed. It was also found that the liquid-particle interaction is determining for the behavior of the flowing layer. The well-defined experiments and in-depth characterization performed in this study provide an excellent validation case for multiphase flow models.

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Section: Discussionmentioning

confidence: 99%

“…Finally, the detailed measurements provided by MPT in this study are well suited for comparison with numerical simulations. The dynamic particle behavior in the rotating drum environment is an excellent validation case for multiphase flow models, such as the various frameworks presented in recent literature 40–44 …”

Section: Discussionmentioning

confidence: 99%

Experiments on floating bed rotating drums using magnetic particle tracking

et al. 2022

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“…By reporting the longitudinal and vertical flow properties, we discuss the global flow evolution and the non-linear mechanical behavior of this rapid fluid-driven problem. The velocity magnitude, 𝒗 , the effective viscosity (as log 10 (𝜂)), the approximated volume fractions (i.e., 𝜙 normalized by the reference volume fraction of the mixture phase, 𝜙 0 ), and the mixed number, 𝐼 𝑚 , of cases A-Sand, A-PVC, B-Sand, and C-Sand (at 𝑡 = 0.5 and 𝑡 = 1.0 seconds) are illustrated in Figures 11,12,13, and 14, respectively. The figures include snapshots of the experiments and the interface data plotted over the numerical results.…”

Section: Flow Properties and Interface Datamentioning

confidence: 99%

“…Mesh-based continuum methods have been developed for various granular simulations [12,13]. However, due to their mesh dependency, they require particular treatments to deal with highly dynamic interfaces [14,15].…”

Section: Introductionmentioning

confidence: 99%

Fluid-driven granular dynamics through a consistent multi-resolution particle method

Jandaghian¹,

Shakibaeinia²

2022

Preprint

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Granular dynamics driven by fluid flow is ubiquitous in many industrial and natural processes, such as fluvial and coastal sediment transport. Yet, their complex multiphysics nature challenges the accuracy and efficiency of numerical models.Here, we study the dynamics of rapid fluid-driven granular erosion through a mesh-free particle method based on the enhanced weakly-compressible Moving Particle Semi-implicit (MPS) method. To that end, we develop and validate a new multi-resolution multiphase MPS formulation for the consistent and conservative form of the governing equations, including particle stabilization techniques. First, we discuss the numerical accuracy and convergence of the proposed approximation operators through two numerical benchmark cases: the multi-viscosity Poiseuille flow and the multi-density hydrostatic pressure. Then, coupling the developed model with a generalized rheology equation, we investigate the water dam-break waves over movable beds. The particle convergence study confirms that the proposed multi-resolution formulation predicts the analytical solutions with acceptable accuracy and order of convergence. Validating the multiphase granular flow reveals that the mechanical behavior of this fluid-driven problem is highly sensitive to the water-sediment density ratio; the bed with lighter grains experiences extreme erosion and interface deformations. For the bed with a heavier material but different geometrical setups, the surge speed and the transport layer thickness remain almost identical (away from the gate). Furthermore, while the multi-resolution model accurately estimates the global sediment dynamics, the single-resolution model underestimates the flow evolution.

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“…2019, 2020; Lacaze et al. 2021; Rauter 2021). These studies indicate that the dynamics of non-cohesive collapses, as well as their final height, runout distance and deposit morphology is governed primarily by the aspect ratio of the column, where and denote its vertical and horizontal extents.…”

Section: Introductionmentioning

confidence: 99%

Grain-resolving simulations of submerged cohesive granular collapse

Zhu

Zhao

et al. 2022

J. Fluid Mech.

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We investigate the submerged collapse of weakly polydisperse, loosely packed cohesive granular columns, as a function of aspect ratio and cohesive force strength, via grain-resolving direct numerical simulations. The cohesive forces act to prevent the detachment of individual particles from the main body of the collapsing column, reduce its front velocity, and yield a shorter and thicker final deposit. All of these effects can be captured accurately across a broad range of parameters by piecewise power-law relationships. The cohesive forces reduce significantly the amount of available potential energy released by the particles. For shallow columns, the particle and fluid kinetic energy decreases for stronger cohesion. For tall columns, on the other hand, moderate cohesive forces increase the maximum particle kinetic energy, since they accelerate the initial free-fall of the upper column section. Only for larger cohesive forces does the peak kinetic energy of the particles decrease. Computational particle tracking indicates that the cohesive forces reduce the mixing of particles within the collapsing column, and it identifies the regions of origin of those particles that travel the farthest. The simulations demonstrate that cohesion promotes aggregation and the formation of aggregates. Furthermore, they provide complete information on the temporally and spatially evolving network of cohesive and direct contact force bonds. While the normal contact forces are aligned primarily in the vertical direction, the cohesive bonds adjust their preferred spatial orientation throughout the collapse. They result in a net macroscopic stress that counteracts deformation and slows the spreading of the advancing particle front.

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The compressible granular collapse in a fluid as a continuum: validity of a Navier–Stokes model with , -rheology

Abstract: Abstract

Cited by 38 publications

References 59 publications

Experiments on floating bed rotating drums using magnetic particle tracking

Experiments on floating bed rotating drums using magnetic particle tracking

Fluid-driven granular dynamics through a consistent multi-resolution particle method

Grain-resolving simulations of submerged cohesive granular collapse

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