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Chin. Phys. B, 2020, Vol. 29(3): 034702    DOI: 10.1088/1674-1056/ab6839
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Multi-bubble motion behavior of uniform magnetic field based on phase field model

Chang-Sheng Zhu(朱昶胜)1,2, Zhen Hu(胡震)1, Kai-Ming Wang(王凯明)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 University of Technology, Lanzhou 730050, China
Abstract  Aiming at the interaction and coalescence of bubbles in gas-liquid two-phase flow, a multi-field coupling model was established to simulate deformation and dynamics of multi-bubble in gas-liquid two-phase flow by coupling magnetic field, phase field, continuity equation, and momentum equation. Using the phase field method to capture the interface of two phases, the geometric deformation and dynamics of a pair of coaxial vertical rising bubbles under the applied uniform magnetic field in the vertical direction were investigated. The correctness of results is verified by mass conservation method and the comparison of the existing results. The results show that the applied uniform magnetic field can effectively shorten the distance between the leading bubble and the trailing bubble, the time of bubbles coalescence, and increase the velocity of bubbles coalescence. Within a certain range, as the intensity of the applied uniform magnetic field increases, the velocity of bubbles coalescence is proportional to the intensity of the magnetic field, and the time of bubbles coalescence is inversely proportional to the intensity of the magnetic field.
Keywords:  bubbles coalescence      uniform magnetic field      numerical simulation      phase field method  
Received:  23 September 2019      Revised:  14 November 2019      Accepted manuscript online: 
PACS:  47.11.-j (Computational methods in fluid dynamics)  
  47.55.dd (Bubble dynamics)  
Fund: 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 (Grant No. J201304).
Corresponding Authors:  Chang-Sheng Zhu     E-mail:  zhucs2008@163.com

Cite this article: 

Chang-Sheng Zhu(朱昶胜), Zhen Hu(胡震), Kai-Ming Wang(王凯明) Multi-bubble motion behavior of uniform magnetic field based on phase field model 2020 Chin. Phys. B 29 034702

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