Multi-bubble motion behavior of electric field based on phase field model

doi:10.1088/1674-1056/28/3/034701

中国物理B ›› 2019, Vol. 28 ›› Issue (3): 34701-034701.doi: 10.1088/1674-1056/28/3/034701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Multi-bubble motion behavior of electric field based on phase field model

Chang-Sheng Zhu(朱昶胜), Dan Han(韩丹), Li Feng(冯力), Sheng Xu(徐升)

1 School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, China;
2 State Key Laboratory of Gansu Advanced Processing and Recycling of Non-Ferrous Metal, Lanzhou 730050, China

收稿日期:2018-10-11 修回日期:2018-12-06 出版日期:2019-03-05 发布日期:2019-03-05
通讯作者: Chang-Sheng Zhu E-mail:zhucs2008@163.com,zhucs@lut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51661020, 11504149, and 11364024), the Postdoctoral Science Foundation of China (Grant No. 2014M560371) and the Funds for Distinguished Young Scientists of Lanzhou University of Technology, China (Grant No. J201304).

Multi-bubble motion behavior of electric field based on phase field model

Chang-Sheng Zhu(朱昶胜)^1,2, Dan Han(韩丹)¹, Li Feng(冯力)², Sheng Xu(徐升)¹

1 School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, China;
2 State Key Laboratory of Gansu Advanced Processing and Recycling of Non-Ferrous Metal, Lanzhou 730050, China

Received:2018-10-11 Revised:2018-12-06 Online:2019-03-05 Published:2019-03-05
Contact: Chang-Sheng Zhu E-mail:zhucs2008@163.com,zhucs@lut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51661020, 11504149, and 11364024), the Postdoctoral Science Foundation of China (Grant No. 2014M560371) and the Funds for Distinguished Young Scientists of Lanzhou University of Technology, China (Grant No. J201304).

摘要/Abstract

摘要：

By coupling the phase field model with the continuity equation of incompressible fluid, Navier-Stokes equation, electric field equation, and other governing equations, a multi-field coupling model for multi-bubble coalescence in a viscous fluids is established. The phase field method is used to capture the two-phase interface. The motion and coalescence of a pair of coaxial bubbles under an external uniform electric field and the effects of different electric field strengths on the interaction and coalescence of rising bubbles are studied. The results show that the uniform electric field accelerates the collision and coalescence process of double bubbles in the fluid, and increases the rising velocity of the coalesced bubble. The electric field with an intensity of E=2 kV/mm is reduced about 2 times compared with that without electric field in coalescence time. When the electric field strength is strong (E ≥ 1 kV/mm), the coalesced bubble will rupture before it rises to the top of the calculation area, and the time of the bubble rupturing also decreases with the increase of the electric field strength. The phase field method is compared with the simulation results of Lattice Boltzmann Method (LBM), and the shape of bubble obtained by the two methods is in good agreement, which verifies the correctness of the calculation model.

关键词: electro-hydro dynamics, multi-bubble, phase field

Abstract:

Key words: electro-hydro dynamics, multi-bubble, phase field

中图分类号: (Computational methods in fluid dynamics)

47.11.-j

47.55.dd (Bubble dynamics)

朱昶胜, 韩丹, 冯力, 徐升. Multi-bubble motion behavior of electric field based on phase field model[J]. 中国物理B, 2019, 28(3): 34701-034701.

Chang-Sheng Zhu(朱昶胜), Dan Han(韩丹), Li Feng(冯力), Sheng Xu(徐升). Multi-bubble motion behavior of electric field based on phase field model[J]. Chin. Phys. B, 2019, 28(3): 34701-034701.

参考文献 22

[1]	Zhang A M and Yao X L 2008 Chin. Phys. B 17 927 doi: 10.1088/1674-1056/17/3/031
[2]	Clift R, Grace J R and Weber M E 1978 Bubbles, Drops, and Particles (New York: Academic Press)
[3]	Kirkpatrick R D and Lockett M J 1974 Chem. Eng. Sci. 29 2363 doi: 10.1016/0009-2509(74)80013-8
[4]	Zhang S J and Wu C J 2011 J. Hydrodyn 23 89 doi: 10.1016/S1001-6058(10)60092-3
[5]	Annal, M V S, Deen N G and Kuipers J A M 2005 Chem. Eng. Sci. 60 2999 doi: 10.1016/j.ces.2005.01.031
[6]	Cheng M, Hua J S and Lou J 2010 Comput. Fluid. 39 260 doi: 10.1016/j.compfluid.2009.09.003
[7]	Li S B, Xu S, Fan J G and Huang S Y 2017 J. Shenyang. Inst. Aerona Eng. 34 63
[8]	Lv Y Q 2016 Numerical Research on Bubble Merging and its Motion in Shear Flow (MS Thesis) (Hangzhou: China Jiliang University) (in Chinese)
[9]	Hadidi A and Jalali-Vahid D 2016 Theor. Comput. Fluid. Dyn 30 165 doi: 10.1007/s00162-015-0371-8
[10]	Hirt C W and Nichols B D 1981 J. Comput. Phys. 39 201 doi: 10.1016/0021-9991(81)90145-5
[11]	Abbassi W, Besbes S, Elhajem M, Aissia H B and Champagne J Y 2018 Comput. Fluids 161 47 doi: 10.1016/j.compfluid.2017.11.010
[12]	Osher S and Sethian J A 1988 J. Comput. Phys. 79 12 doi: 10.1016/0021-9991(88)90002-2
[13]	Nagrath S, Jansen K E and Jr R T L 2005 C Omput. Method. Appl. M 194 4565 doi: 10.1016/j.cma.2004.11.012
[14]	Jacqmin D 1999 J. Comput. Phys. 155 96 doi: 10.1006/jcph.1999.6332
[15]	Yang Q Z, Li B Q, Shao J Y and Ding Y C 2014 Int. J. Heat Mass. Tran. 78 820 doi: 10.1016/j.ijheatmasstransfer.2014.07.039
[16]	Zhang Q Y, Sun D K, Zhang Y F and Zhu M F 2016 Chin. Phys. B 25 066401 doi: 10.1088/1674-1056/25/6/066401
[17]	Chen S and Doolen G D 1998 Ann. Rev. Fluid. Mech. 30 329 doi: 10.1146/annurev.fluid.30.1.329
[18]	Yue P T, Zhou C F, Jams J, Feng J J and Ollivier-Gooch C F 2006 J. Comput. Phys. 219 47 doi: 10.1016/j.jcp.2006.03.016
[19]	Wang L L, Li G J, Tian H and Ye Y H 2011 J. Xi'an JiaoTong Univ. 45 65
[20]	Ding H, Spelt P D M and Shu C 2007 J. Comput. Phys. 226 2078 doi: 10.1016/j.jcp.2007.06.028
[21]	Liang M, Li Q, Wang K S, Liu J Y and Chen J Q 2014 Ciesc. J. 65 843
[22]	Allen P H G and Karayiannis T G 1995 Heat Recov. Syst. Chp. 15 389 doi: 10.1016/0890-4332(95)90050-0

Multi-bubble motion behavior of electric field based on phase field model

Multi-bubble motion behavior of electric field based on phase field model

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