弹性和剪切稀化对微通道中颗粒聚集模式的调控机制研究

杨剑桥; 王企鲲; 赵可馨

doi:10.21656/1000-0887.460173

弹性和剪切稀化对微通道中颗粒聚集模式的调控机制研究

doi: 10.21656/1000-0887.460173

上海理工大学能源与动力工程学院，上海 200093

基金项目:

国家自然科学基金（52576166）

详细信息

作者简介:
杨剑桥（1997—），男，硕士生（E-mail: 1164989788@qq.com）;王企鲲（1978—），男，副教授，博士（通信作者. E-mail: wangqk@usst.edu.cn）.

通讯作者:
王企鲲（1978—），男，副教授，博士(通信作者. E-mail: wangqk@usst.edu.cn).

中图分类号: O357
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- 文章访问数: 27
- HTML全文浏览量: 5
- PDF下载量: 0
- 被引次数: 0
出版历程
- 收稿日期: 2025-09-22
- 修回日期: 2025-12-17
- 网络出版日期: 2026-10-31

The Controlling Mechanism of Elasticity and Shear Thinning for Particle Focusing Patterns in Microchannels

School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P.R. China

Funds:

The National Science Foundation of China(52576166)

摘要

摘要: 研究了微流控通道中颗粒聚集的力学机制，通过数值模拟分析了Oldroyd-B与Giesekus两种黏弹性流体中颗粒聚集现象.采用“相对运动模型”，并应用对数构象张量法以提升计算稳定性，系统考察了流体弹性及剪切稀化强度对颗粒受力和平衡位置的作用.结果表明，颗粒聚集行为随流变参数变化呈现多模式特征：无剪切稀化时，颗粒向管中心迁移；弱剪切稀化时，出现中心散焦与近壁聚集的双稳态；较强剪切稀化时，颗粒稳定聚集于单一环形位置，且该位置随弹性增强呈先外移后内收的变化规律.力学分析表明，惯性升力主导总升力分布，但受弹性的耦合作用和剪切稀化的影响.该研究揭示了流变参数对颗粒聚集的调控机制，为微流控分选设计提供了理论依据.
- 黏弹性流体 /
- 颗粒聚集 /
- Giesekus模型 /
- 剪切稀化 /
- OpenFOAM
Abstract: To investigate the mechanical mechanisms of particle focusing in microfluidic channels, numerical simulations were performed to analyze particle behaviors in viscoelastic fluids described by the Oldroyd-B and Giesekus models. The “relative motion model” was employed, and the log-conformation representation method was applied to enhance the computational stability. The effects of the fluid elasticity and the shear-thinning intensity on particle forces and equilibrium positions were systematically examined. The results show that, the particle focusing behavior exhibits multiple patterns depending on rheological parameters: the migration of particles toward the center in the absence of shear-thinning; the bistable state of particle defocusing near the center and focusing close to the wall under weak shear-thinning; the single annular focusing band formed under relatively strong shear-thinning, and its location first moved outward and then inward with the increasing elasticity. The mechanics analysis indicates that, the inertial lift force dominates the total lift distribution but is modulated by elastic coupling and shear-thinning effects. This study reveals the regulation of particle focusing by rheological parameters and provides a theoretical basis for the design of microfluidic sorting devices.
- viscoelastic fluid /
- particle aggregation /
- Giesekus model /
- shear-thinning /
- OpenFOAM

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参考文献(37)

Ateya D A, Erickson J S, Howell P B, et al. The good, the bad, and the tiny: a review of microflow cytometry[J].Analytical and Bioanalytical Chemistry,2008,391(5): 1485-1498.

[2]Nilsson J, Evander M, Hammarstrm B, et al. Review of cell and particle trapping in microfluidic systems[J].Analytica Chimica Acta,2009,649(2): 141-157.

[3]Pamme N. Continuous flow separations in microfluidic devices[J].Lab on a Chip,2007,7(12): 1644-1659.

[4]Di Carlo D. Inertial microfluidics[J].Lab on a Chip,2009,9(21): 3038-3046.

[5]Jae Y K, Sung W A, Sung S L, et al. Lateral migration and focusing of colloidal particles and DNA molecules under viscoelastic flow[J].Lab on a Chip,2012,12(16): 2807-2814.

[6]De Santo I, D’Avino g, Romeo G, et al. Microfluidic Lagrangian trap for Brownian particles: three-dimensional focusing down to the nanoscale[J].Physical Review Applied,2014,2(6): 064001.

[7]Liu C, Ding B, Xue C, et al. Sheathless focusing and separation of diverse nanoparticles in viscoelastic solutions with minimized shear thinning[J].Analytical Chemistry,2016,88(24): 12547-12553.

[8]Lim E J, Ober T J, Edd J F, et al. Inertio-elastic focusing of bioparticles in microchannels at high throughput[J].Nature Communications,2014,5: 4120.

[9]蔡伟华. 黏弹性流体动力学[M]. 北京: 科学出版社, 2016: 69. (Cai Weihua.Viscoelastic Fluid Dynamics[M]. Beijing: Science Press, 2016: 69. (in Chinese))

[10]许晓阳, 赵雨婷. 基于SPH方法的瞬态非等温黏弹性Couette流的数值模拟[J]. 应用数学和力学, 2023,44(6): 654-665. (Xu Xiaoyang, Zhao Yuting. Numerical simulation of transient non-isothermal viscoelastic Couette flows based on the SPH method[J].Applied Mathematics and Mechanics,2023,44(6): 654-665. (in Chinese))

[11]克乌玛 A, 范西尼 C L, 夏玛G C, 等. 弹性动脉血管中血液流动特性的模拟和分析[J]. 应用数学和力学, 2005,26(3): 316-324. (Kumar A, Varshney C L, Sharma G C, et al. Performance modeling and analyis of blood flow in elastic arteries [J].Applied Mathematics and Mechanics,2005,26(3): 316-324. (in Chinese))

[12]Lu X, Liu C, Hu G, et al. Particle manipulations in non-Newtonian microfluidics:a review[J].Journal of Colloid and Interface Science,2017,500: 182-201.

[13]Seo K W, Kang Y J, Lee S J. Lateral migration and focusing of microspheres in a microchannel flow of viscoelastic fluids[J].Physics of Fluids,2014,26(6): 063301.

[14]D’Avino G, Romeo G, Villone M M, et al. Single line particle focusing induced by viscoelasticity of the suspending liquid: theory, experiments and simulations to design a micropipe flow-focuser[J].Lab on a Chip,2012,12(9): 1638-1645.

[15]Huang P Y, Joseph D D. Effects of shear thinning on migration of neutrally buoyant particles in pressure driven flow of Newtonian and viscoelastic fluids[J].Journal of Non-Newtonian Fluid Mechanics,2000,90(2/3): 159-185. 〖JP〗

[16]Villone M M, D’Avino G, Hulsen M A, et al. Numerical simulations of particle migration in a viscoelastic fluid subjected to Poiseuille flow[J].Computers & Fluids,2011,42(1): 82-91.

[17]Villone M M, D’Avino G, Hulsen M A, et al. Simulations of viscoelasticity-induced focusing of particles in pressure-driven micro-slit flow[J].Journal of Non-Newtonian Fluid Mechanics,2011,166(23/24): 1396-1405.

[18]D’Avino G, Hulsen M A, Greco F, et al. Numerical simulations on the dynamics of a spheroid in a viscoelastic liquid in a wide-slit microchannel[J].Journal of Non-Newtonian Fluid Mechanics,2019,263: 33-41.

[19]张仕环, 庞明军, 郑智颖. 低Weissenberg数黏弹性流体中单气泡上浮运动特性研究[J]. 应用数学和力学, 2023,44(6): 629-642. (Zhang Shihuan, Pang Mingjun, Zheng Zhiying. Study on hydrodynamics characteristics of a single bubble in viscoelastic fluid at low weissenberg numbers[J].Applied Mathematics and Mechanics,2023,44(6): 629-642. (in Chinese))

[20]Peng S, Li J Y, Xiong Y L, et al. Numerical simulation of two-dimensional unsteady Giesekus flow over a circular cylinder[J].Journal of Non-Newtonian Fluid Mechanics,2021,294: 104571.

[21]Fattal R, Kupferman R. Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation[J].Journal of Non-Newtonian Fluid Mechanics,2005,126(1): 23-37.

[22]王企鲲, 王浩. 微通道中弹性颗粒所受惯性升力特性的数值研究[J]. 机械工程学报, 2015,51(14): 160-166. (Wang Qikun, Wang Hao. Behavior for inertial lift on elastic particles in micro-channel[J].Journal of Mechanical Engineering,2015,51(14): 160-166. (in Chinese))

[23]Di Carlo D, Edd J F, Humphry K J, et al. Particle segregation and dynamics in confined flows[J].Physical Review Letters,2009,102(9): 094503.

[24]Giesekus H. A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility[J].Journal of Non-Newtonian Fluid Mechanics,1982,11(1/2): 69-109.

[25]Sureshkumar R, Beris A N. Effect of artificial stress diffusivity on the stability of numerical calculations and the flow dynamics of time-dependent viscoelastic flows[J].Journal of Non-Newtonian Fluid Mechanics,1995,60(1): 53-80.

[26]Fattal R, Kupferman R. Constitutive laws for the matrix-logarithm of the conformation tensor[J].Journal of Non-Newtonian Fluid Mechanics,2004,123(2/3): 281-285.

[27]Alves M A, Oliveira P J, Pinho F T. A convergent and universally bounded interpolation scheme for the treatment of advection[J].International Journal for Numerical Methods in Fluids,2003,41(1): 47-75.

[28]Fppimenta. RheoTool[EB/OL].(2022-07-02)[2025-09-20]. https://github.com/fppimenta/rheoTool.

[29]Raffiee A H, Ardekani A M, Dabiri S. Numerical investigation of elasto-inertial particle focusing patterns in viscoelastic microfluidic devices[J].Journal of Non-Newtonian Fluid Mechanics,2019,272: 104166.

[30]Seo K W, Byeon H J, Huh H K, et al. Particle migration and single-line particle focusing in microscale pipe flow of viscoelastic fluids[J].RSC Advances,2014,4(7): 3512-3520.

[31]Del Giudice F, D’Avino G, Greco F, et al. Effect of fluid rheology on particle migration in a square-shaped microchannel[J].Microfluidics and Nanofluidics,2015,19(1): 95-104.

[32]Li G, Mckinley G H, Ardekani A M. Dynamics of particle migration in channel flow of viscoelastic fluids[J].Journal of Fluid Mechanics,2015,785: 486-505.

[33]Segré G, Silberberg A. Radial particle displacements in poiseuille flow of suspensions[J].Nature,1961,189(4760): 209-210.

[34]Schleiniger G, Weinacht R J. A remark on the Giesekus viscoelastic fluid[J].Journal of Rheology,1991,35(6): 1157-1170.

[35]赵可馨, 王企鲲, 柯灵杰. 微通道中流体弹性对颗粒聚集的影响[J]. 应用数学和力学, 2025,46(10): 1256-1266. (Zhao Kexin, Wang Qikun, Ke Lingjie. The influence effect of fluid elasticity on particle aggregation in microchannels[J].Applied Mathematics and Mechanics,2025,46(10): 1256-1266. (in Chinese))

[36]Matas J P, Morris J F, Guazzelli . Inertial migration of rigid spherical particles in Poiseuille flow[J].Journal of Fluid Mechanics,2004,515: 171-195.

[37]Del Giudice F, D’Avino G. Viscoelastic ordering in microfluidic devices: current knowledge, open questions and challenges[J].Journal of Physics:Materials,2025,8(1): 011001.

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弹性和剪切稀化对微通道中颗粒聚集模式的调控机制研究

doi: 10.21656/1000-0887.460173

作者简介:
杨剑桥（1997—），男，硕士生（E-mail: 1164989788@qq.com）;王企鲲（1978—），男，副教授，博士（通信作者. E-mail: wangqk@usst.edu.cn）.

通讯作者:
王企鲲（1978—），男，副教授，博士(通信作者. E-mail: wangqk@usst.edu.cn).

计量

The Controlling Mechanism of Elasticity and Shear Thinning for Particle Focusing Patterns in Microchannels

计量

目录

留言板

弹性和剪切稀化对微通道中颗粒聚集模式的调控机制研究

doi: 10.21656/1000-0887.460173

作者简介: 杨剑桥（1997—），男，硕士生（E-mail: 1164989788@qq.com）;王企鲲（1978—），男，副教授，博士（通信作者. E-mail: wangqk@usst.edu.cn）.

通讯作者: 王企鲲（1978—），男，副教授，博士(通信作者. E-mail: wangqk@usst.edu.cn).

计量

出版历程

The Controlling Mechanism of Elasticity and Shear Thinning for Particle Focusing Patterns in Microchannels

计量

出版历程

目录

作者简介:
杨剑桥（1997—），男，硕士生（E-mail: 1164989788@qq.com）;王企鲲（1978—），男，副教授，博士（通信作者. E-mail: wangqk@usst.edu.cn）.

通讯作者:
王企鲲（1978—），男，副教授，博士(通信作者. E-mail: wangqk@usst.edu.cn).