Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid

doi:10.1016/j.cjche.2020.10.009

中国化学工程学报 ›› 2021, Vol. 34 ›› Issue (6): 12-21.DOI: 10.1016/j.cjche.2020.10.009

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid

Xiao Hu, Jianzhong Lin, Dongmei Chen, Xiaoke Ku

Department of Mechanics, State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China

收稿日期:2020-06-23 修回日期:2020-08-20 出版日期:2021-06-28 发布日期:2021-08-30
通讯作者: Jianzhong Lin
基金资助:
This work was supported by the National Natural Science Foundation of China (91852102 and 11632016).

Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid

Xiao Hu, Jianzhong Lin, Dongmei Chen, Xiaoke Ku

Department of Mechanics, State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China

Received:2020-06-23 Revised:2020-08-20 Online:2021-06-28 Published:2021-08-30
Contact: Jianzhong Lin
Supported by:
This work was supported by the National Natural Science Foundation of China (91852102 and 11632016).

摘要/Abstract

摘要： The formation of self-organizing single-line particle train in a channel flow of a power-law fluid is studied using the lattice Boltzmann method with power-law index 0.6≤n≤1.2, particle volume concentration 0.8%≤Φ≤6.4%, Reynolds number 10≤Re≤100, and blockage ratio 0.2≤k≤0.4. The numerical method is validated by comparing the present results with the previous ones. The effect n, Φ, Re and k on the interparticle spacing and parallelism of particle train is discussed. The results showed that the randomly distributed particles would migrate towards the vicinity of the equilibrium position and form the ordered particle train in the power-law fluid. The equilibrium position of particles is closer to the channel centerline in the shear-thickening fluid than that in the Newtonian fluid and shear-thinning fluid. The particles are not perfectly parallel in the equilibrium position, hence IH is used to describe the inclination of the line linking the equilibrium position of each particle. When self-organizing single-line particle train is formed, the particle train has a better parallelism and hence benefit for particle focusing in the shear-thickening fluid at high Φ, low Re and small k. Meanwhile, the interparticle spacing is the largest and hence benefit for particle separation in the shear-thinning fluid at low Φ, low Re and small k.

关键词: Particle, non-Newtonian fluids, Inertial migration, Channel flow, Numerical simulation

Abstract: The formation of self-organizing single-line particle train in a channel flow of a power-law fluid is studied using the lattice Boltzmann method with power-law index 0.6≤n≤1.2, particle volume concentration 0.8%≤Φ≤6.4%, Reynolds number 10≤Re≤100, and blockage ratio 0.2≤k≤0.4. The numerical method is validated by comparing the present results with the previous ones. The effect n, Φ, Re and k on the interparticle spacing and parallelism of particle train is discussed. The results showed that the randomly distributed particles would migrate towards the vicinity of the equilibrium position and form the ordered particle train in the power-law fluid. The equilibrium position of particles is closer to the channel centerline in the shear-thickening fluid than that in the Newtonian fluid and shear-thinning fluid. The particles are not perfectly parallel in the equilibrium position, hence IH is used to describe the inclination of the line linking the equilibrium position of each particle. When self-organizing single-line particle train is formed, the particle train has a better parallelism and hence benefit for particle focusing in the shear-thickening fluid at high Φ, low Re and small k. Meanwhile, the interparticle spacing is the largest and hence benefit for particle separation in the shear-thinning fluid at low Φ, low Re and small k.

Key words: Particle, non-Newtonian fluids, Inertial migration, Channel flow, Numerical simulation

Xiao Hu, Jianzhong Lin, Dongmei Chen, Xiaoke Ku. Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid[J]. 中国化学工程学报, 2021, 34(6): 12-21.

Xiao Hu, Jianzhong Lin, Dongmei Chen, Xiaoke Ku. Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid[J]. Chinese Journal of Chemical Engineering, 2021, 34(6): 12-21.

参考文献

[1] D. Stoecklein, D. Di Carlo, Nonlinear microfluidics, Analyt. Chem. 91(2019) 296-314.
[2] H.Y. Chen, Y. Liu, H.T. Zhang, L. Yu, Y.L. Zhu, D. Li, Separation and manipulation of rare-earth oxide particles by dielectrophoresis, Chinese J. Chem. Eng. 18(2010) 1034-1037.
[3] Z.S. Yu, X.M. Shao, R. Tanner, Dynamic simulation of shear-induced particle migration in a two-dimensional circular Couette device, Chinese J. Chem. Eng. 15(2007) 333-338.
[4] G. Segré, A. Silberberg, Radial poiseuille flow of suspensions, Nature 189(1961) 209-210.
[5] S.C. Hur, H.T. Tse, D. Di Carlo, Sheathless inertial cell ordering for extreme throughput flow cytometry, Lab on A Chip 10(2010) 274-280.
[6] Y.F. Gao, P. Magaud, C. Lafforgue, S. Colin, L. Baldas, Inertial lateral migration and self-assembly of particles in bidisperse suspensions in microchannel flows, Microfluidics Nanofluidics 23(2019) 93-107.
[7] S. Kahkeshani, H. Haddadi, D. Di Carlo, Preferred interparticle spacings in trains of particles in inertial microchannel flows, J. Fluid Mech. 786(2016) R3.
[8] C. Dietsche, B.R. Mutlu, J.F. Edd, P. Koumoutsakos, M. Toner, Dynamic particle ordering in oscillatory inertial microfluidics, Microfluidics Nanofluidics 23(2019) 83.
[9] Y.F. Gao, P. Magaud, L. Baldas, C. Lafforgue, M. Abbas, Self-ordered particle trains in inertial microchannel flows, Microfluidics Nanofluidics 21(2017) 154.
[10] Z. Pan, R. Zhang, C. Yuan, H.Y. Wu, Direct measurement of microscale flow structures induced by inertial focusing of single particle and particle trains in a confined microchannel, Phys. Fluids 30(2018) 081703.
[11] X. Hu, J.Z. Lin, X.K. Ku, Inertial migration of circular particles in Poiseuille flow of a power-law fluid, Phys. Fluids 31(2019) 073306.
[12] X. Hu, J.Z. Lin, D.M. Chen, X.K. Ku, Stability condition of self-organizing staggered particle trains in channel flow, Microfluidics Nanofluidics 24(2020) 25.
[13] A. Gupta, P. Magaud, C. Lafforgue, M. Abbas, Conditional stability of particle alignment in finite-Reynolds-number channel flow, Phys. Rev. Fluids 3(2018) 114302.
[14] J.P. Matas, J.F. Morris, E. Guazzelli, Inertial migration of rigid spherical particles in Poiseuille flow, J. Fluid Mech. 515(2004) 171-195.
[15] X. Li, P. Zhang, J.L. Li, W.W. Wang, G.H. Chen, Analysis of deformation and internal flow patterns for rising single bubbles in different liquids, Chinese J. Chem. Eng. 27(2019) 745-758.
[16] F. Del Giudice, S. Sathish, G. D'Avino, A.Q. Shen, From the edge to the center:viscoelastic migration of particles and cells in a strongly shear-thinning liquid flowing in a microchannel, Analyt. Chem. 89(2017) 13146-13159.
[17] N. Xiang, Z.H. Ni, H. Yi, Concentration-controlled particle focusing in spiral elasto-inertial microfluidic devices, Electrophoresis 39(2018) 417-424.
[18] F. Del Giudice, G. D'Avino, F. Greco, P.L. Maffettone, A.Q. Shen, Fluid viscoelasticity drives self-assembly of particle trains in a straight microfluidic channel, Phys. Rev. Appl. 10(2018) 064058.
[19] D. Li, X. Xuan, Fluid rheological effects on particle migration in a straight rectangular microchannel, Microfluidics Nanofluidics 22(2018) 49.
[20] G. D'Avino, M.A. Hulsen, P.L. Maffettone, Dynamics of pairs and triplets of particles in a viscoelastic fluid flowing in a cylindrical channel, Comput. Fluids 86(2013) 45-55.
[21] G. D'Avino, P.L. Maffettone, Numerical simulations on the dynamics of trains of particles in a viscoelastic fluid flowing in a microchannel, Meccanica 55(2020) 317-330.
[22] D.M. Nie, J.Z. Lin, Behavior of three circular particles in a confined power-law fluid under shear, J. Non-Newtonian Fluid Mech. 221(2015) 76-94.
[23] M. Firouznia, B. Metzger, G. Ovarlez, S. Hormozi, The interaction of two spherical particles in simple-shear flows of yield stress fluids, J. Non-Newtonian Fluid Mech. 255(2018) 19-38.
[24] Y.H. Qian, D. D'Humières, P. Lallemand, Lattice BGK models for Navier-Stokes equation, Europhys. Lett. 17(1992) 479-484.
[25] S.Y. Chen, G.D. Doolen, Lattice Boltzmann method for fluid flows, Ann. Rev. Fluid Mech. 30(1998) 329-364.
[26] Z.L. Guo, C.G. Zheng, B.C. Shi, Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E 65(2002) 046308.
[27] A.J.C. Ladd, Numerical simulations of particulate suspensions via a discretized Boltzmann-equation. Part 1. Theoretical foundation, J. Fluid Mech. 271(1994) 285-309.
[28] C.K. Aidun, Y. Lu, E. Ding, Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation, J. Fluid Mech. 373(2000) 287-311.
[29] R. Glowinski, T.W. Pan, T.I. Hesla, D.D. Joseph, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies:Application to particulate flow, J. Comput. Phys. 169(2001) 363-426.
[30] B.H. Wen, H.B. Li, C.Y. Zhang, H.P. Fang, Lattice-type-dependent momentumexchange method for moving boundaries, Phys. Rev. E 85(2012) 016704.
[31] K. Hood, M. Roper, Pairwise interactions in inertially driven one-dimensional microfluidic crystals, Phys. Rev. Fluids 3(2018) 094201.

Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid

Dynamics of self-organizing single-line particle trains in the channel flow of a power-law fluid

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	Jiahao Xing, Huaizhi Han, Ruitian Yu, Wen Luo. Numerical simulation of flow and heat transfer of n-decane in sub-millimeter spiral tube at supercritical pressure[J]. 中国化学工程学报, 2023, 60(8): 173-185.
[2]	Wenting Fan, Fang Zhao, Ming Chen, Jian Li, Xuhong Guo. An efficient microreactor with continuous serially connected micromixers for the synthesis of superparamagnetic magnetite nanoparticles[J]. 中国化学工程学报, 2023, 59(7): 85-91.
[3]	Jian Han, Xinhua Liu, Shanwei Hu, Nan Zhang, Jingjing Wang, Bin Liang. Optimization of decoupling combustion characteristics of coal briquettes and biomass pellets in household stoves[J]. 中国化学工程学报, 2023, 59(7): 182-192.
[4]	Wenshi Huang, Yang Zhang, Yuxin Wu, Jingyu Wang, Minmin Zhou. Analysis of particle dispersion in a turbulent flow considering particle rotation[J]. 中国化学工程学报, 2023, 58(6): 29-39.
[5]	Masoumeh Sheikh Hosseini Lori, Mohammad Delnavaz, Hoda Khoshvaght. Synthesizing and characterizing the magnetic EDTA/chitosan/CeZnO nanocomposite for simultaneous treating of chromium and phenol in an aqueous solution[J]. 中国化学工程学报, 2023, 58(6): 76-88.
[6]	Junhao Wang, Shugang Ma, Peng Chen, Zhipeng Li, Zhengming Gao, J. J. Derksen. Mixing of miscible shear-thinning fluids in a lid-driven cavity[J]. 中国化学工程学报, 2023, 58(6): 112-123.
[7]	Danlei Chen, Yiqing Luo, Xigang Yuan. Cascade refrigeration system synthesis based on hybrid simulated annealing and particle swarm optimization algorithm[J]. 中国化学工程学报, 2023, 58(6): 244-255.
[8]	Hui Yi Leong, Xiao-Qian Fu, Xiang-Yu Liu, Shan-Jing Yao, Dong-Qiang Lin. Characterisation and separation of infectious bursal disease virus-like particles using aqueous two-phase systems[J]. 中国化学工程学报, 2023, 57(5): 72-78.
[9]	Shengfeng Luo, Song Zhang, Yiping Zeng, Hui Zhang, Lili Zheng, Zhaopeng Xu. Study on oxygen transport and titanium oxidation in coating cracks under parallel gas flow based on LBM modelling[J]. 中国化学工程学报, 2023, 56(4): 15-24.
[10]	Jingran Liu, Yue Wu, Jie Tang, Tao Wang, Feng Ni, Qiumin Wu, Xijiao Yang, Ayyaz Ahmad, Naveed Ramzan, Yisheng Xu. Polymeric assembled nanoparticles through kinetic stabilization by confined impingement jets dilution mixer for fluorescence switching imaging[J]. 中国化学工程学报, 2023, 56(4): 89-96.
[11]	Jikai Dong, Bing Wang, Xinjie Wang, Chenxi Cao, Shikuan Chen, Wenli Du. Optimization of sensor deployment sequences for hazardous gas leakage monitoring and source term estimation[J]. 中国化学工程学报, 2023, 56(4): 169-179.
[12]	Shuangfei Zhao, Yingying Nie, Wenyan Zhang, Runze Hu, Lianzhu Sheng, Wei He, Ning Zhu, Yuguang Li, Dong Ji, Kai Guo. Microfluidic field strategy for enhancement and scale up of liquid–liquid homogeneous chemical processes by optimization of 3D spiral baffle structure[J]. 中国化学工程学报, 2023, 56(4): 255-265.
[13]	Xiaoping Li, Jiaxin Pan, Jinwen Shi, Yanlin Chai, Songwei Hu, Qiaorong Han, Yanming Zhang, Xianwen Li, Dengwei Jing. Nanoparticle-induced drag reduction for polyacrylamide in turbulent flow with high Reynolds numbers[J]. 中国化学工程学报, 2023, 56(4): 290-298.
[14]	Tian Zhang, Qingshan Huang, Shujun Geng, Aqiang Chen, Yan Liu, Haidong Zhang. Impacts of solid physical properties on the performances of a slurry external airlift loop reactor integrating mixing and separation[J]. 中国化学工程学报, 2023, 55(3): 1-12.
[15]	Lianlian Zhao, Fufu Di, Xiaonan Wang, Sumbal Farid, Suzhen Ren. Constructing a hollow core-shell structure of RuO₂ wrapped by hierarchical porous carbon shell with Ru NPs loading for supercapacitor[J]. 中国化学工程学报, 2023, 55(3): 93-100.