Three-dimensional Eulerian-Lagrangian simulation of particle settling in inclined water columns

Chang, Yen‐Cheng; Chiu, Te-Yao; Hung, Chen-Yen; Chou, Yu‐Min

doi:10.1016/j.powtec.2019.02.052

Cited by 17 publications

(8 citation statements)

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“…To examine the importance of particle collision, we run an additional case in which the collision model is turned on. In the present numerical model, a standard soft-sphere collision model by Cundall & Strack (1979) is used to model particle-particle collisions, the details of which can be found in Chou et al (2015) and Chang et al (2019). Here, we assume a small value for the coefficient of restitution e = 0.01, which represents a nearly inelastic collision between particles.…”

Section: Declaration Of Interestsmentioning

confidence: 99%

Formation of drops and rings in double-diffusive sedimentation

2019

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Section: Declaration Of Interestsmentioning

confidence: 99%

Formation of drops and rings in double-diffusive sedimentation

2019

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“…Chang et al. (2019) confirmed these results in their numerical study. Moreover, owing to particle settling, the thickness of the clear-fluid layer increases with time, resulting in a change in the upward stream beneath the downward-facing wall, as shown in figure 2( b ).…”

Section: Introductionmentioning

confidence: 53%

“…A shear instability leads to travelling waves at the particle-laden interface, which subsequently break and can be transformed into fine turbulent structures, which resuspend the sedimenting particles (Chang et al. 2019), thus reducing the enhanced sedimentation efficiency. In this regard, researchers have performed linear stability analysis to focus on the associated shear instabilities (Acrivos & Herbolzheimer 1979; Herbolzheimer & Acrivos 1981; Schneider 1982; Shaqfeh & Acrivos 1986, 1987 b ).…”

Section: Introductionmentioning

confidence: 99%

Transient instability in long, tilted water columns with fast-settling, particle-laden layers

2021

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We study the stability of unsteady particle-laden flows in long, tilted water columns in batch settling mode, where the quasi-steady assumption of base flow no longer holds for the fast settling of particles. For this purpose, we introduce a settling time scale in the momentum and transport equations to solve the unsteady base flow, and utilise non-modal analysis to examine the stability of the disturbance flow field. The base flow increases in magnitude as the settling speed decreases and attains its maximum value when the settling speed becomes infinitesimal. The time evolution of the disturbance flow energy experiences an algebraic growth caused by the lift-up mechanism of the wall-normal disturbance, followed by an exponential growth owing to the shear instability of the base flow. The streamwise and spanwise wavenumbers corresponding to the peak energy gain are identified for both stages. In particular, the flow instability is enhanced as the Prandtl number increases, which is attributed to the sharpening of the particle-laden interface. On the other hand, the flow instability is suppressed by the increase in settling speed, because less disturbance energy can be extracted from the base flow. There exists an optimal tilted angle for efficient sedimentation, where the particle-laden flow is relatively stable and is accompanied by a smaller energy gain of the disturbance.

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“…Chou et al (2015) validated the calculation of Lagrangian particles by some canonical cases of suspended sediment transport. The present Eulerian-Lagrangian model has been applied to study particle-induced Rayleigh-Taylor instability (Chou & Shao 2016), convective sedimentation in a sharp density interface (Shao, Hung & Chou 2017) and enhanced sedimentation in inclined water columns (Chang et al 2019).…”

Section: Methodsmentioning

confidence: 99%