微通道内椭球颗粒惯性聚焦行为数值研究

doi:10.19596/j.cnki.1001-246x.8163

计算物理 ›› 2020, Vol. 37 ›› Issue (6): 677-686.DOI: 10.19596/j.cnki.1001-246x.8163

微通道内椭球颗粒惯性聚焦行为数值研究

王坚毅, 潘振海, 吴慧英

上海交通大学机械与动力工程学院, 上海 200240

收稿日期:2019-10-21 修回日期:2019-12-10 出版日期:2020-11-25 发布日期:2020-11-25
通讯作者: 吴慧英,E-mail:whysrj@sjtu.edu.cn
作者简介:王坚毅(1995-),男,硕士研究生,主要从事格子Boltzmann方法数值模拟研究
基金资助:
国家自然科学基金（51536005，51820105009，51706136）资助项目

Numerical Study of Inertial Focusing Behavior of Ellipsoidal Particles in a Microchannel

WANG Jianyi, PAN Zhenhai, WU Huiying

School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2019-10-21 Revised:2019-12-10 Online:2020-11-25 Published:2020-11-25

摘要/Abstract

摘要： 基于浸没边界-格子Boltzmann方法，对方形截面微通道内椭球颗粒的惯性迁移与旋转动力学行为进行数值研究，发现微通道内椭球颗粒的惯性迁移存在两种主要的运动状态：①翻转状态，即椭球颗粒前进过程中长轴始终在中心对称平面内；②滚动状态，即椭球颗粒前进过程中长轴始终垂直于中心对称平面.研究表明：在低Re数（Re=10）下颗粒以两种状态随流体迁移至平衡位置；在较大Re数（50≤Re≤200）下最终均以翻转状态随流体迁移，随Re数增加，平衡位置先逼近壁面后远离壁面.通过对不同运动状态下椭球颗粒周围的微观流场进行分析，提示该微观流动在颗粒惯性聚焦行为特征中有重要影响，并从流体和颗粒的惯性角度对颗粒不同运动状态的转换机理给出解释.

关键词: 浸没边界-格子Boltzmann方法, 惯性聚焦, 椭球颗粒

Abstract: With immersed boundary-lattice Boltzmann method, inertial migration behavior and rotational dynamics of an ellipsoidal particle in an infinite square cross-section microchannel were numerically studied. Two main motion states were found for ellipsoidal particles migrating in a microchannel, i.e., tumbling and log-rolling. It shows that for particles in flow with relatively low Re (Re=10), rotational behavior varied from different initial orientation. However, for particles in flow with higher Re (50≤Re≤200), they perform same rotational behavior and reach the same equilibrium position. As Re number increases, equilibrium position of the ellipsoidal particle moves firstly towards the wall then the center of the channel. At higher Re numbers (Re>300), the particles do not retain stable inertial focusing. Finally, the phenomena were analyzed from flow field around the particles. In addition, mechanism of transition of motion states of particles is explained from fluid and particle inertia.

Key words: immersed boundary-lattice Boltzmann method, inertial focusing, ellipsoidal particle

中图分类号:

O359

王坚毅, 潘振海, 吴慧英. 微通道内椭球颗粒惯性聚焦行为数值研究[J]. 计算物理, 2020, 37(6): 677-686.

WANG Jianyi, PAN Zhenhai, WU Huiying. Numerical Study of Inertial Focusing Behavior of Ellipsoidal Particles in a Microchannel[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(6): 677-686.

参考文献

[1] CHUNG A J, PULIDO D, OKA J C, et al. Microstructure-induced helical vortices allow single-stream and long-term inertial focusing[J]. Lab on a Chip, 2013, 13(15):2942-2949.
[2] DI CARLO D, EDD J F, IRIMIA D, et al. Equilibrium separation and filtration of particles using differential inertial focusing[J]. Analytical Chemistry, 2008, 80(6):2204-2211.
[3] HUR S C, HENDERSON-MACLENNAN N K, MCCABE E R B, et al. Deformability-based cell classification and enrichment using inertial microfluidics[J]. Lab on a Chip, 2011, 11(5):912-920.
[4] MATAS J-P, MORRIS J F, GUAZZELLI É. Inertial migration of rigid spherical particles in Poiseuille flow[J/OL]. Journal of Fluid Mechanics, 2004-09[2019-10-06]. DOI:10.1017/S0022112004000254.
[5] KILIMNIK A, MAO W, ALEXEEV A. Inertial migration of deformable capsules in channel flow[J]. Physics of Fluids, 2011, 23(12):123302.
[6] SEGRÉ G, SILBERBERG A. Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2:Experimental results and interpretation[J/OL]. Journal of Fluid Mechanics, 1962-09[2019-10-06]. DOI:10.1017/S0022112062001111.
[7] KARNIS A, GOLDSMITH H L, MASON S G. The flow of suspensions through tubes V:Inertial effects[J]. The Canadian Journal of Chemical Engineering, 1966, 44(4):181-193.
[8] MASAELI M, SOLLIER E, AMINI H, et al. Continuous inertial focusing and separation of particles by shape[J]. Physical Review X, 2012, 2(3):031017.
[9] PAN T-W, CHANG C-C, GLOWINSKI R. On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow[J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197(25):2198-2209.
[10] LASHGARI I, ARDEKANI M N, BANERJEE I, et al. Inertial migration of spherical and oblate particles in straight ducts[J/OL]. Journal of Fluid Mechanics, 2017-05[2019-10-06]. DOI:10.1017/jfm.2017.189.
[11] YANG X, HUANG H, LU X. The motion of a neutrally buoyant ellipsoid inside square tube flows[J/OL]. Advances in Applied Mathematics and Mechanics, 2017-04[2019-10-06]. DOI:10.4208/aamm.2015.m1376.
[12] MU Z, LIU Z, WU H. Lattice Boltzmann simulation of particle sedimentation considering micro-scale gas rarefaction effect[J]. Chinese Journal of Computational Physics, 2019, 36(4):395-402.
[13] YAN R, CHEN L, ZHOU B. Lattice Boltzmann simulation on motion characteristics of indoor respirable particles[J]. Chinese Journal of Computational Physics, 2016, 33(6):698-706.
[14] NIE D, LIN J. Brownian motion of non-spherical particles:Fluctuating-lattice Boltzmann investigation[J]. Chinese Journal of Computational Physics, 2012, 29(1):101-107.
[15] QIAN Y H, D'HUMIÈRES D, LALLEMAND P. Lattice BGK models for Navier-Stokes equation[J]. Europhysics Letters, 1992, 17(6):479.
[16] GUO Z, ZHENG C, SHI B. Discrete lattice effects on the forcing term in the lattice Boltzmann method[J]. Physical Review E, 2002, 65(4):046308.
[17] QI D, LUO L-S. Rotational and orientational behaviour of three-dimensional spheroidal particles in Couette flows[J/OL]. Journal of Fluid Mechanics, 2003-02[2019-10-06]. DOI:10.1017/S0022112002003191.
[18] PESKIN C S. Numerical analysis of blood flow in the heart[J]. Journal of Computational Physics, 1977, 25(3):220-252.
[19] DUPUIS A, CHATELAIN P, KOUMOUTSAKOS P. An immersed boundary-lattice-Boltzmann method for the simulation of the flow past an impulsively started cylinder[J]. Journal of Computational Physics, 2008, 227(9):4486-4498.
[20] FENG Z-G, MICHAELIDES E E. Proteus:A direct forcing method in the simulations of particulate flows[J]. Journal of Computational Physics, 2005, 202(1):20-51.
[21] NIU X D, SHU C, CHEW Y T, et al. A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows[J]. Physics Letters A, 2006, 354(3):173-182.
[22] KANG S K, HASSAN Y A. A comparative study of direct-forcing immersed boundary-lattice Boltzmann methods for stationary complex boundaries[J]. International Journal for Numerical Methods in Fluids, 2011, 66(9):1132-1158.
[23] TEN CATE A, NIEUWSTAD C H, DERKSEN J J, et al. Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity[J]. Physics of Fluids, 2002, 14(11):4012-4025.
[24] JEFFERY G B. The motion of ellipsoidal particles immersed in a viscous fluid[J]. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 1922, 102(715):161-179.
[25] YUAN C, PAN Z, WU H. Inertial migration of single particle in a square microchannel over wide ranges of Re and particle sizes[J]. Microfluidics and Nanofluidics, 2018, 22(9):102.
[26] ROSÉN T, LUNDELL F, AIDUN C K. Effect of fluid inertia on the dynamics and scaling of neutrally buoyant particles in shear flow[J]. Journal of Fluid Mechanics, 2014, 738:563-590.

微通道内椭球颗粒惯性聚焦行为数值研究

Numerical Study of Inertial Focusing Behavior of Ellipsoidal Particles in a Microchannel

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