电场作用下液滴分裂动力学行为的格子Boltzmann模拟

doi:10.3969/j.issn.0438-1157.2014.08.004

化工学报 ›› 2014, Vol. 65 ›› Issue (8): 2882-2888.DOI: 10.3969/j.issn.0438-1157.2014.08.004

电场作用下液滴分裂动力学行为的格子Boltzmann模拟

李超, 吴慧英, 黄荣宗

上海交通大学机械与动力工程学院, 上海 200240

收稿日期:2013-12-09 修回日期:2014-04-22 出版日期:2014-08-05 发布日期:2014-08-05
通讯作者: 吴慧英
基金资助:
国家自然科学基金项目（51376130，50925624）；国家重点基础研究发展计划项目（2012CB720404）；上海科委基础研究重点项目（12JC1405100）。

Lattice Boltzmann simulation of droplet breakup dynamic behavior under electric field

LI Chao, WU Huiying, HUANG Rongzong

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

Received:2013-12-09 Revised:2014-04-22 Online:2014-08-05 Published:2014-08-05
Supported by:
supported by the National Natural Science Foundation of China (51376130, 50925624), the National Basic Research Program of China (2012CB720404) and the Science and Technology Commission of Shanghai Municipality (12JC1405100).

摘要/Abstract

摘要： 采用格子Boltzmann方法（LBM）伪势模型，耦合流场和电场控制方程，研究了电场作用下油水共存体系中水滴分裂的动力学行为及特性，借助形变率衡量液滴的形变大小，展现了液滴从形变至分裂的动态演变过程，分析了外加电场大小和液滴内外介电常数比对液滴分裂行为的影响。结果表明：外加电场能促使液滴发生振荡形变，且存在临界电毛细数和临界介电常数比决定液滴是否发生分裂：高于临界值，液滴形变率振荡幅度随时间不断增长，最终发生分裂；低于临界值，则液滴形变率振荡幅度不断衰减，并最终趋于一稳定值。在此基础上，综合考虑电场强度与介电常数比的影响，提出了基于现有电毛细数的修正电毛细数唯一地表征电场作用下液滴分裂与否。

关键词: 格子Boltzmann方法, 液滴, 分裂, 电场, 数值模拟, 传质, 微流体学

Abstract: The pseudo-potential model of the lattice Boltzmann method (LBM) coupled with the discrete electric field governing equations was used to simulate the dielectric-medium droplet breakup process under electric field. By introducing deformation rate as a measurement of droplet's deformation, the whole evolution process of the droplet from deformation to breakup was presented. The influences of applied electric field strength and dielectric permittivity ratio of component inside to outside the droplet on the dynamic behavior of droplet breakup were investigated. Applied electric field promoted the deformation of droplet with deformation rate oscillating with time. There existed a critical electric capillary number (i.e. critical electric field strength) or a critical dielectric permittivity ratio, above which deformation rate oscillation amplitude was magnified continuously until breakup happened and below which the oscillation amplitude of deformation rate decayed continuously until deformation rate stabilized to a final steady value. Based on the simulation results, a modification of the present definition of electric capillary number was presented. With the modified electric capillary number, the influences of both electric field strength and dielectric permittivity ratio on droplet deformation and breakup could be analyzed integrally using a single parameter.

Key words: lattice Boltzmann method, droplet, breakup, electric field, numerical simulation, mass transfer, microfluidics

中图分类号:

O359

李超, 吴慧英, 黄荣宗. 电场作用下液滴分裂动力学行为的格子Boltzmann模拟[J]. 化工学报, 2014, 65(8): 2882-2888.

LI Chao, WU Huiying, HUANG Rongzong. Lattice Boltzmann simulation of droplet breakup dynamic behavior under electric field[J]. CIESC Journal, 2014, 65(8): 2882-2888.

参考文献 23

[1]	Teh S, Lin R, Hung L, Lee A. Droplet microfluidics [J]. Lab on a Chip, 2008, 8 (2): 198-220
[2]	Demello A J. Control and detection of chemical reactions in microfluidic systems [J]. Nature, 2006, 442 (7101): 394-402
[3]	Mu Lili (穆莉莉), Hou Liya (侯丽雅), Zhang Weiyi (章维一). Realization and experimental research of micro-chemical reaction based on digitalization of micro-fluids [J]. CIESC Journal (化工学报), 2009, 60 (3): 795-800
[4]	Luo Guangsheng (骆广生), Wang Kai (王凯), Xu Jianhong (徐建鸿), Lü Yangcheng (吕阳成), Wang Yujun (王玉军). Multiphase flow, transport and reaction in micro-structured chemical systems [J]. CIESC Journal (化工学报), 2010, 61 (7): 1621-1626
[5]	Sharma S, Srisa-Art M, Scott S, Asthana A, Cass A. Droplet-based microfluidics [J]. Microfluidic Diagnostics, 2013, 949: 207-230
[6]	Eow J S, Ghadiri M, Sharif A. Experimental studies of deformation and break-up of aqueous drops in high electric fields [J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2003, 225 (1/2/3): 193-210
[7]	Ahn K, Kerbage C, Hunt T P, Westervelt R M, Link D R, Weitz D A. Dielectrophoretic manipulation of drops for high-speed microfluidic sorting devices [J]. Applied Physics Letters, 2006, 88 (2): 24103-24104
[8]	Wang Z, Mitrašinovi? A, Wen J. Investigation on electrostatical breakup of bio-oil droplets [J]. Energies, 2012, 5 (11): 4323-4339
[9]	Zhou H, Yao S. Electrostatic charging and control of droplets in microfluidic devices [J]. Lab on a Chip, 2013, 13 (5): 962-969
[10]	Bararnia H, Ganji D D. Experimental investigation of water droplets' behavior in dielectric medium: the effect of an applied D.C. electric field [J]. Mech. Sci., 2013, 4 (2): 333-344
[11]	Chiappini D, Bella G, Succi S, Ubertini S. Applications of finite-difference lattice Boltzmann method to breakup and coalescence in multiphase flows [J]. International Journal of Modern Physics C, 2009, 20 (11): 1803-1816
[12]	Liu H, Valocchi A J, Kang Q. Three-dimensional lattice Boltzmann model for immiscible two-phase flow simulations [J]. Physical Review E, 2012, 85 (4): 46309
[13]	Bararnia H, Seyyedi S M, Ganji D D, Khorshidi B. Numerical investigation of the coalescence and breakup of falling multi-droplets [J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2013, 424: 40-51
[14]	Zhang J, Kwok D Y. A 2D lattice Boltzmann study on electrohydrodynamic drop deformation with the leaky dielectric theory [J]. Journal of Computational Physics, 2005, 206 (1): 150-161
[15]	Kupershtokh A L, Medvedev D A. Lattice Boltzmann equation method in electrohydrodynamic problems [J]. Journal of Electrostatics, 2006, 64 (7/8/9): 581-585
[16]	Huang J J, Shu C, Feng J J, Chew Y T. A phase-field-based hybrid lattice-Boltzmann finite-volume method and its application to simulate droplet motion under electrowetting control [J]. Journal of Adhesion Science and Technology, 2012, 26 (12-17): 1825-1851
[17]	Bararnia H, Ganji D D. Breakup and deformation of a falling droplet under high voltage electric field [J]. Advanced Powder Technology, 2013, 24 (6): 992-998
[18]	Shan X, Chen H. Lattice Boltzmann model for simulating flows with multiple phases and components [J]. Physical Review E, 1993, 47 (3): 1815-1819
[19]	Qian Y H, D'Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation [J]. Europhysics Letters, 1992, 17 (6): 479-484
[20]	He X, Li N. Lattice Boltzmann simulation of electrochemical systems [J]. Computer Physics Communications, 2000, 129 (1/2/3): 158-166
[21]	Reboud J L, Raisin J, Atten P. Numerical simulation of electrically induced deformations of water-oil interface//6ème Conférence Biannuelle de la Société Française d'Electrostatique [C]. 2008
[22]	Hua J, Lim L K, Wang C H. Numerical simulation of deformation/motion of a drop suspended in viscous liquids under influence of steady electric fields [J]. Physics of Fluids, 2008, 20 (11): 113302
[23]	Sherwood J D. Breakup of fluid droplets in electric and magnetic fields [J]. Journal of Fluid Mechanics, 1988, 188: 133-146

电场作用下液滴分裂动力学行为的格子Boltzmann模拟

Lattice Boltzmann simulation of droplet breakup dynamic behavior under electric field

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