Migration of finite sized particles in a laminar square channel flow from low to high Reynolds numbers

Abbas, Micheline; Magaud, Pascale; Gao, Yanfeng; Geoffroy, Sandrine

doi:10.1063/1.4902952

Cited by 74 publications

(56 citation statements)

References 21 publications

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“…The travelling distance in the flow direction during the first stage can be estimated from figure 7 as L 1 /D ≈ 50, 35 and 30 at Re = 144, 260 and 514, respectively. The value of L 1 /D ≈ 50 at Re = 144 agrees with the result for Re = 120 reported by a numerical simulation of Abbas et al (2014), although the initial position of the trajectory is different.…”

Section: Entry Length For Focusingsupporting

confidence: 90%

“…For the same size ratio with the present study (d/D = 0.11), Abbas et al (2014) made microscope measurements of particles suspended in square microchannel flows and numerical analyses of the trajectories of a single particle based on the force coupling method. The trajectories at Re = 120 shown in figure 8 of their paper are comparable to those shown in figure 4(a), although the locations of the channel face equilibrium positions obtained in the present study are closer to their experimental results rather than their numerical results (see our figure 8a).…”

Section: Lateral Forces At Low and High Reynolds Numbersmentioning

confidence: 99%

“…The particle scale Reynolds number can be also defined as Re p = Re(d/D) 2 , where d denotes the diameter of suspended particles. Numerical simulations using a finite element method have supported the presence of channel face equilibrium positions for particles that are relatively large with respect to the width of the channel for 10 Re 40 , and this has been extended up to Re = 120 by a recent numerical study based on the force coupling method (Abbas et al 2014). The locations of these equilibrium positions have been reported to move closer to the channel wall with increasing Re Choi, Seo & Lee 2011;Abbas et al 2014), which is the same trend observed for circular cylindrical flows in experiments with a much wider range of Re up to 1700 (Segre & Silberberg 1962;Matas, Morris & Guazzelli 2004a,b) and in theoretical analyses based on the asymptotic theory valid for Re p 1 (Asmolov 1999;Matas, Morris & Guazzelli 2009).…”

Section: Introductionmentioning

confidence: 97%

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Inertial migration of a spherical particle in laminar square channel flows from low to high Reynolds numbers

et al. 2015

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The lateral migration properties of a rigid spherical particle suspended in a pressure-driven flow through channels with square cross-sections were investigated numerically, in the range of Reynolds numbers (Re) from 20 to 1000. The flow field around the particle was computed by the immersed boundary method to calculate the lateral forces exerted on the particle and its trajectories, starting from various initial positions. The numerical simulation showed that eight equilibrium positions of the particle are present at the centres of the channel faces and near the corners of the channel cross-section. The equilibrium positions at the centres of the channel faces are always stable, whereas the equilibrium positions at the corners are unstable until Re exceeds a certain critical value, Re c . At Re ≈ Re c , additional equilibrium positions appear on a heteroclinic orbit that joins the channel face and corner equilibrium positions, and the lateral forces along the heteroclinic orbit are very small. As Re increases, the channel face equilibrium positions are shifted towards the channel wall at first, and then shifted away from the channel wall. The channel corner equilibrium positions exhibit a monotonic shift towards the channel corner with increasing Re. Migration behaviours of the particle in the cross-section are also predicted for various values of Re. These numerical results account for the experimental observations of particle distributions in the cross-section of micro and millimetre scale channels, including the characteristic alignment and focusing of the particles, the absence of the corner equilibrium positions at low Re and the progressive shift of the equilibrium positions with Re.

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Section: Entry Length For Focusingsupporting

confidence: 90%

Section: Lateral Forces At Low and High Reynolds Numbersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

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Inertial migration of a spherical particle in laminar square channel flows from low to high Reynolds numbers

et al. 2015

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“…9(a)]. As in previous studies, 27,30,31 we find that spherical particles migrate to the wall as Re increases from 50 to 200. The variation of equilibrium position with Re for cylindrical particles is also found to be smaller than that for the spherical particles [ Fig.…”

Section: Comparisons With Spherical Particlessupporting

confidence: 73%

“…Equilibrium positions of particles in a rectangular channel are symmetrically dispersed, rather than annulus in a circular pipe. 28,29 The equilibrium positions shift closer to the wall with increasing channel Reynolds number Re (Re = ρU max H/η, where η is the dynamic viscosity) in both rectangular 30,31 and circular 32 channels. Previous studies have found that the inertial migration of randomly dispersed particles in rectangular channels can be regarded to be a two-stage process, i.e., (1) particles predominately migrate away from the channel center and the walls to a rounded rectangular ring-like region and (2) then migrate along the channel perimetric direction to finally focus at discrete equilibrium positions.…”

Section: Introductionmentioning

confidence: 99%

Inertial migrations of cylindrical particles in rectangular microchannels: Variations of equilibrium positions and equivalent diameters

Chen

2018

Physics of Fluids

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Inertial migration has emerged as an efficient tool for manipulating both biological and engineered particles that commonly exist with non-spherical shapes in microfluidic devices. There have been numerous studies on the inertial migration of spherical particles, whereas the non-spherical particles are still largely unexplored. Here, we conduct three-dimensional direct numerical simulations to study the inertial migration of rigid cylindrical particles in rectangular microchannels with different width/height ratios under the channel Reynolds numbers (Re) varying from 50 to 400. Cylindrical particles with different length/diameter ratios and blockage ratios are also concerned. Distributions of surface force with the change of rotation angle show that surface stresses acting on the particle end near the wall are the major contributors to the particle rotation. We obtain lift forces experienced by cylindrical particles at different lateral positions on cross sections of two types of microchannels at various Re. It is found that there are always four stable equilibrium positions on the cross section of a square channel, while the stable positions are two or four in a rectangular channel, depending on Re. By comparing the equilibrium positions of cylindrical particles and spherical particles, we demonstrate that the equivalent diameter of cylindrical particles monotonously increases with Re. Our work indicates the influence of a non-spherical shape on the inertial migration and can be useful for the precise manipulation of non-spherical particles.

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Lateral Migration of Variously Shaped Particles: A Computational Study

Neeraj

Maniyeri

2023

Chem Eng & Technol

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The current work deals with the simulation of lateral migration of differently shaped particles in a straight channel through which fluid flows with a Poiseuille pattern of flow. The immersed boundary method based on feedback force is adopted for the current work. The equilibrium positions and migration times for circular, elliptical, rectangular, square, and biconcave particles are studied and presented. The cases of neutral and massive (high ratio of particle density to fluid density) particles are presented, and in both scenarios the biconcave particle attains its equilibrium position closest to the bottom wall and the elliptical particle acquires its equilibrium position closest to the channel center. Also, the migration time is highest for the biconcave particle, whereas it is lowest for the rectangular particle.

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Migration of finite sized particles in a laminar square channel flow from low to high Reynolds numbers

Abstract: OATAO is an open access repository that collects the work of some Toulouse researchers and makes it freely available over the web where possible.

Cited by 74 publications

References 21 publications

Inertial migration of a spherical particle in laminar square channel flows from low to high Reynolds numbers

Inertial migration of a spherical particle in laminar square channel flows from low to high Reynolds numbers

Inertial migrations of cylindrical particles in rectangular microchannels: Variations of equilibrium positions and equivalent diameters

Lateral Migration of Variously Shaped Particles: A Computational Study

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