2021
DOI: 10.1063/5.0042658
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Falling clouds of particles with finite inertia in viscous flows

Abstract: When sedimenting in a viscous fluid under gravity, a cloud of particles undergoes a complex shape evolution due to the hydrodynamic interactions. In this work, Lagrange particle dynamic simulation, which combines the Oseen solution for flow around a particle and a Gauss–Seidel iterative procedure, is adopted to investigate the effects of the particle inertia and the hydrodynamic interactions on the cloud's sedimentation behavior. It is found that, with a small Stokes number (St), the cloud evolves into a torus… Show more

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Cited by 7 publications
(2 citation statements)
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“…In other words, in suspensions of small particles the clusters dominate the settling dynamics, whereas the settling in suspensions of larger particles is dominated by hindered settling. The impact of clusters on particle settling may be related to the different shape, particle concentration, and longevity of the clusters, which in turn may depend on how particles are coupled to fluid motion (Chen et al., 2021; Nitsche & Batchelor, 1997; Pignatel et al., 2011).…”
Section: Discussionmentioning
confidence: 99%
“…In other words, in suspensions of small particles the clusters dominate the settling dynamics, whereas the settling in suspensions of larger particles is dominated by hindered settling. The impact of clusters on particle settling may be related to the different shape, particle concentration, and longevity of the clusters, which in turn may depend on how particles are coupled to fluid motion (Chen et al., 2021; Nitsche & Batchelor, 1997; Pignatel et al., 2011).…”
Section: Discussionmentioning
confidence: 99%
“…The equivalent hydraulic radius R c = Na (6v/5V), and V is the velocity of cluster. We also consider the cluster settling model in non-Newtonian fluids (Xu, Song et al, 2019) and Newtonian fluids (Chen, Chen et al, 2021).…”
Section: The Cluster Dynamic Behavior Approachmentioning
confidence: 99%