Lateral migration and nonuniform rotation of suspended ellipse in Poiseuille flow

Wen, Binghai; Chen, Hui; Qin, Zhangrong; He, Bing; Zhang, Chaoying

doi:10.1016/j.camwa.2016.09.011

Cited by 26 publications

(19 citation statements)

References 37 publications

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“…The ability of the approach to identify stable/unstable behaviour of non-circular particles is illustrated here. Specifically, we check for stability of elliptical particles in channel flow and find that there are no stable locations, which matches the behaviour observed with full FSI (tumbling + lateral bobbing) (Wen et al 2016). We pick k = 0.3, Re = 15 for this configuration with a 1 : 2 ellipse aspect ratio.…”

Section: A2 Elliptical Particle In Channel Flow/sedimentationmentioning

confidence: 54%

“…The particles are neutrally buoyant, and display similar behaviour as circular particles except that they bob and tumble about a constant mean lateral location far downstream. The set-up for this simulation is referenced from Wen et al (2016), and mesh density and time step are again taken from the converged case of § E.4. The evolution of the particle's angle from the horizontal is plotted with time in figure 19.…”

Section: Appendix C Optimizationmentioning

confidence: 99%

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Shape design for stabilizing microparticles in inertial microfluidic flows

et al. 2020

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Design of microparticles which stabilize at the centerline of a channel flow when part of a dilute suspension is examined numerically for moderate Reynolds numbers (10 ≤ Re ≤ 80). This problem is motivated by the need for design of shaped particle carriers for use in next generation cell cytometry devices. Stability metrics for particles with arbitrary shapes are formulated based on linear-stability theory. Particle shape is parametrized by a compact, Non-Uniform Rational B-Spline (NURBS)-based representation. Shape-design is posed as an optimization problem and solved using adaptive Bayesian optimization. We focus on designing particles for maximal stability at the channel-centerline robust to perturbations. Our results indicate that centerline-focusing particles are families of characteristic "fish"/"bottle"/"dumbbell"-like shapes, exhibiting fore-aft asymmetry. A parametric exploration is then performed to identify stable particle-designs at different k's (particle chord-to-channel width ratio) and Re's (0.1 ≤ k ≤ 0.4, 10 ≤ Re ≤ 80). Particles at high-k's and Re's are highly stabilized when compared to those at low-k's and Re's. A comparison of the modified dumbbell designs from the current framework also shows better performance to perturbations in Fluid-Structure Interaction (FSI) when compared to the rod-disk model-dumbbell reported previously (Uspal & Doyle, 2014) for low-Re Hele-Shaw flow. We identify a basin of attraction around the centerline, within which any arbitrary release results in rotationally stable centerline-focusing. We find that this basin spans larger release-angle-ranges and lateral locations (tending to the channel width) for narrower channels. This effectively standardizes the notion of global focusing using the current stability-paradigm in narrow channels, which eliminates the need for an independent design for global-focusing in such configurations. The framework detailed in this work is illustrated for 2D cases and is generalizable to stability in 3D flow-fields. The current formulation is agnostic to Re and particle/channel geometry which indicates substantial potential for integration with imaging flow-cytometry tools and microfluidic biosensing-assays.

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Section: A2 Elliptical Particle In Channel Flow/sedimentationmentioning

confidence: 54%

Section: Appendix C Optimizationmentioning

confidence: 99%

Shape design for stabilizing microparticles in inertial microfluidic flows

et al. 2020

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“…Wen et al [12] [13] [20] introduced the relative velocity into the interfacial momentum transfer to compute the hydrodynamic force and proposed a Galilean invariant momentum (GME) exchange equation…”

Section: Moving Boundary Conditions and Hydrodynamic Force Evaluationmentioning

confidence: 99%

“…Sun et al [11] studied the particle focusing in three-dimensional rectangular channel with the lattice Boltzmann method. Wen et al [12] [13] simulated the movement of red blood cells of birds by studying the sedimentation migration of elliptical particles in shear flow [14] and Poiseuille flow, and positively contributed to the study of blood circulation of birds with elliptical red blood cells. Polygonal shape geometric boundary did not obtain sufficient investigations, although the suspension motion of these shaped particles widely exists in nature and many applications in industries, such as chemical, biological, and mechanical engineering [15].…”

Section: Introductionmentioning

confidence: 99%

“…The extra fluctuations and nonuniform rotations in the simulations are due to the interaction of the shape of the particle and the parabolic velocity distribution in channel. The fluid velocity close to centerline is invariably faster than the farther one and the speed difference drives the particles to rotate continuously[12].Figure 7 shows the steering angle, vertical trajectory, angular velocity of the circumscribed square particles, and the equilibrium position corresponding to the steering angle in a half rotation period. The particle equilibrium position reaches the peaks when the steering angle is around 0.3π and 0.8π.…”

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confidence: 99%

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Lateral Migration and Nonuniform Rotation of Square Particle Suspended in Poiseuille Flow

Ye¹,

Zhou²,

Zhou³

et al. 2020

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A square particle suspended in a Poiseuille flow is investigated by using the lattice Boltzmann method with the Galilean-invariant momentum exchange method. The lateral migration of Segré-Silberberg effect is observed for the square particle, accompanied by the nonuniform rotation and regular wave. To compare with the circular particle, its circumscribed and inscribed squares are used in the simulations. Because the circumscribed square takes up a greater difference between the upper and lower flow rates, it reaches the equilibrium position earlier than the inscribed one. The trajectories of the latter are much closer to those of circle; this indicates that the circle and its inscribed square have a similar hydrodynamic radius in a Poiseuille flow. The equilibrium positions of the square particles change with Reynolds number and show a shape of saddle, whereas those of the circular particles are virtually not affected by Reynolds number. The regular wave and nonuniform rotation are owing to the interactions of the square shape and the parabolic velocity distribution of Poiseuille flow, and high Reynolds number makes the square rotating faster and decrease its oscillating amplitude. A series of contours illustrate the dynamic flow fields when the square particle has successive postures in a half rotating period. This study is beneficial to understand the motion of anisotropic particles and the dendrite growth in dynamic environment.

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Further contributions to the dynamics of a freely rotating elliptical particle in shear flow

et al. 2021

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In this study, the dynamic response of a neutrally buoyant elliptical cylinder is investigated for a two‐dimensional shear flow over a wide range of aspect ratios (rb/ra, where, ra and rb0.25em are the major and minor axis radii, respectively). Parametric studies were carried out for confinement ratios (k=2ra/H) that vary the distance between the particle and the domain walls (H) for shear‐rate (G) based Reynolds number ()italicRe=ra2Gρf/μf. The simulations were performed using the signed distance field‐immersed boundary method (SDFIBM) algorithm implemented in OpenFOAM. The motion of the particle is limited to free rotation about the z axis through the centroid without any translational freedom. This work demonstrates and affirms two distinct responses of the elliptical particle in shear flow: (1) a periodical rotating stage that exhibits a relaxation type of response and (2) a spontaneously locked stationary stage, where the net torque becomes zero. A critical Reynolds number (Recr) demarcates the transition between these two stages, and it depends on aspect ratio and confinement ratio. The prediction of Recr was found to be in excellent agreement with the experimentally reported data in the literature, validating the SDFIBM for particles subjected to shear flows.

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Lateral migration and nonuniform rotation of suspended ellipse in Poiseuille flow

Cited by 26 publications

References 37 publications

Shape design for stabilizing microparticles in inertial microfluidic flows

Shape design for stabilizing microparticles in inertial microfluidic flows

Lateral Migration and Nonuniform Rotation of Square Particle Suspended in Poiseuille Flow

Further contributions to the dynamics of a freely rotating elliptical particle in shear flow

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