Simulation of sedimentation of two spheres with different densities in a square tube

Nie, Deming; Lin, Jianzhong

doi:10.1017/jfm.2020.291

Cited by 26 publications

(17 citation statements)

References 34 publications

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“…Then, the light particle deviated from its initial position and was attracted by this corridor in the x direction. This phenomenon is similar to the drafting stage of the DKT pattern in the settling of two particle with different densities in a Newtonian fluid [11] and the attracting behavior reported in two particles settling in viscoelastic fluids [7,20,28]. In Newtonian fluids, the approach of two particle is mostly due to the lower pressure caused by the wake of the leading particle [42].…”

Section: Trajectory Of Side-by-side Particles Of Different Densitiessupporting

confidence: 82%

“…It has been widely confirmed that the drag coefficient of a particle settling in Newtonian fluids only depends on Re. In the case of two particles, based on a numerical study using the three-dimensional lattice Boltzmann method, Nie and Lin [11] identified six sedimentation patterns for two side-by-side particles of different densities settling in a Newtonian fluid. They also simulated two particles of different densities released in tandem [12].…”

Section: Introductionmentioning

confidence: 99%

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Sedimentation of Two Side-by-Side Heavy Particles of Different Density in a Shear-Thinning Fluid with Viscoelastic Properties

Yang

Dai

et al. 2021

Applied Sciences

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Particle sedimentation has widely existed in nature and engineering fields, and most carrier fluids are non-Newtonian. Recently, the manipulation of a settling particle in liquid has been a topic of high interest to those involved in engineered processes such as composite materials, pharmaceutical manufacture, chemistry and the petroleum industry. Compared with Newtonian fluid, the viscosity of non-Newtonian fluid is closely related to the shear rate, leading to a single settling particle having different dynamic behaviors. In this article, the trajectories and velocities of two side-by-side particles of different densities (heavy and light) settling in a shear-thinning fluid with viscoelastic property were studied, as well as that for the corresponding single settling particle. Regardless of the difference in the particle density, the results show the two-way coupling interaction between the two side-by-side settling particles. As opposed to a single settling particle, the wake of the heavier particle can clearly attract or rebound the light particle due to the shear-thinning or viscoelastic property of the fluid. Regarding the trajectories of the light particle, three basic path types were found: (i) the light particle is first attracted and then repelled by the wake of the heavy one; (ii) the light particle approaches and then largely traces within the path of the heavy one in the limited field of view; (iii) the light particle is first slightly shifted away from its original position and then returns to this initial position. In addition to this, due to the existence of a corridor of reduced viscosity and negative wake generated by the viscoelastic property, the settling velocity of a light particle can exceed the terminal velocity of a single particle of the same density. On the other hand, the sedimentation of the light particle can induce the distinguishable transverse migration of the heavy one.

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Section: Trajectory Of Side-by-side Particles Of Different Densitiessupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Sedimentation of Two Side-by-Side Heavy Particles of Different Density in a Shear-Thinning Fluid with Viscoelastic Properties

Yang

Dai

et al. 2021

Applied Sciences

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“…Driven by the fluid velocity, the particle will always travel along

axis in positive direction, so an infinite channel is needed to avoid the particle moving out of the simulation domain which can be achieved by moving domain technique [ 6 , 51 , 52 ]. When the

-coordinate of the particle exceeds

, the fluid field and the particle need to shift on lattice spacing left, which ensures that the particle will never travel too far from its original position.…”

Section: Methods and Problemmentioning

confidence: 99%

Neutrally Buoyant Particle Migration in Poiseuille Flow Driven by Pulsatile Velocity

Huang

Zhu

2021

Micromachines

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A neutrally buoyant circular particle migration in two-dimensional (2D) Poiseuille channel flow driven by pulsatile velocity is numerical studied by using immersed boundary-lattice Boltzmann method (IB-LBM). The effects of Reynolds number (25≤Re≤200) and blockage ratio (0.15≤k≤0.40) on particle migration driven by pulsatile and non-pulsatile velocity are all numerically investigated for comparison. The results show that, different from non-pulsatile cases, the particle will migrate back to channel centerline with underdamped oscillation during the time period with zero-velocity in pulsatile cases. The maximum lateral travel distance of the particle in one cycle of periodic motion will increase with increasing Re, while k has little impact. The quasi frequency of such oscillation has almost no business with Re and k. Moreover, Re plays an essential role in the damping ratio. Pulsatile flow field is ubiquitous in aorta and other arteries. This article is conducive to understanding nanoparticle migration in those arteries.

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“…Separation, trapping and alignment of particles as well as cells in Newtonian and non-Newtonian fluids during chemical and biological processes have recently attracted increasing attention among researchers (Haddadi & Di Carlo 2017;Li et al 2020;Nie & Lin 2020;Raihan et al 2020;Lin, Chen & Gao 2021). Randomly distributed particles in Newtonian or non-Newtonian fluids were found to migrate toward the specified equilibrium position without the help of extra forces (e.g.…”

Section: Introductionmentioning

confidence: 99%

On the polydisperse particle migration and formation of chains in a square channel flow of non-Newtonian fluids

Lin

et al. 2022

J. Fluid Mech.

Self Cite

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The migration of polydisperse particles and the formation of self-organized particle chains in a square channel flow of non-Newtonian fluids is studied. The effects of rheological behaviour of the fluid, solution concentration and flow rate are explored experimentally. The direct forcing/fictitious domain method is adopted to qualitatively verify the experiments and further analyse the mechanisms of particle migration and particle chain self-organization. The results show that only particles in viscoelastic fluids with negligible shear-thinning effect will remain at the channel centreline as the flow rate increases. The monodisperse particles reach the same velocity when migrating to the equilibrium position. However, in polydisperse suspensions, the smaller the particle diameter, the greater the velocity when the particle migrates to the equilibrium position. In a viscoelastic fluid, the polydisperse particles are more likely to self-organize into long particle chains along the channel centreline than the monodisperse particles, where the large and small particles are at the front and end of the chain. The dimensionless alignment factor (Af) is adopted to quantify the formation of particle chains, which is the largest in viscoelastic fluids and rapidly increases before decreasing to a stable value as the flow rate increases. For larger particle diameter ratios and stronger shear-thinning effect, the long particle chain self-organization is less obvious. The self-organizing particle chains at the channel centreline are strongly influenced by the fluid elastic properties and weakly by the inertial effect; however, the shear-thinning effect disperses the particles and prevents the formation of long straight particle chains.

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Simulation of sedimentation of two spheres with different densities in a square tube

Cited by 26 publications

References 34 publications

Sedimentation of Two Side-by-Side Heavy Particles of Different Density in a Shear-Thinning Fluid with Viscoelastic Properties

Sedimentation of Two Side-by-Side Heavy Particles of Different Density in a Shear-Thinning Fluid with Viscoelastic Properties

Neutrally Buoyant Particle Migration in Poiseuille Flow Driven by Pulsatile Velocity

On the polydisperse particle migration and formation of chains in a square channel flow of non-Newtonian fluids

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