A unified simplified multiphase lattice Boltzmann method (USMLBM) is constructed in this work for simulating complex multiphase ferrofluid flows with large density and viscosity ratios. In USMLBM, the Navier–Stokes equations, the Poisson equation of the magnetic potential, and the phase-field equation are utilized as the ferrohydrodynamics behavior modeling and interface tracking algorithm. Solutions of the macroscopic governing equations are reconstructed with the lattice Boltzmann framework and resolved in a predictor–corrector scheme. Various benchmark tests demonstrate the efficiency and accuracy of USMLBM in simulating multiphase ferrofluid flows. We further adopt USMLBM to analyze in detail the mechanisms of bubble merging inside a ferrofluid under a uniform external magnetic field. The numerical results indicate that the bubbles tend to move toward each other and further merge together, even for a large initial separation between the bubbles. Due to complex interaction between the bubbles and the ferrofluid during the magnetophoretic acceleration process, the nonlinear effect on bubble merging is observed when the initial separation increases. Moreover, at a larger initial separation, the shape of bubbles seems to be not sensitive to the initial separation.
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September 2020
Research Article|
September 03 2020
Unified simplified multiphase lattice Boltzmann method for ferrofluid flows and its application
Special Collection:
Recent Advances in Theory, Simulations, and Experiments on Multiphase Flows
Qiao-Zhong Li (李桥忠)
;
Qiao-Zhong Li (李桥忠)
1
Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics
, Nanjing 210016, China
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Zhi-Liang Lu (陆志良)
;
Zhi-Liang Lu (陆志良)
a)
1
Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics
, Nanjing 210016, China
a)Author to whom correspondence should be addressed: luzl@nuaa.edu.cn
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Di Zhou (周迪)
;
Di Zhou (周迪)
1
Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics
, Nanjing 210016, China
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Xiao-Dong Niu (牛小东);
Xiao-Dong Niu (牛小东)
2
College of Engineering, Shantou University
, Shantou 515063, China
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Tong-Qin Guo (郭同庆);
Tong-Qin Guo (郭同庆)
1
Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics
, Nanjing 210016, China
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Bing-Chen Du (杜秉宸)
Bing-Chen Du (杜秉宸)
1
Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics
, Nanjing 210016, China
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a)Author to whom correspondence should be addressed: luzl@nuaa.edu.cn
Note: This paper is part of the Special Topic, Recent Advances in Theory, Simulations, and Experiments on Multiphase Flows.
Physics of Fluids 32, 093302 (2020)
Article history
Received:
July 11 2020
Accepted:
August 11 2020
Citation
Qiao-Zhong Li, Zhi-Liang Lu, Di Zhou, Xiao-Dong Niu, Tong-Qin Guo, Bing-Chen Du; Unified simplified multiphase lattice Boltzmann method for ferrofluid flows and its application. Physics of Fluids 1 September 2020; 32 (9): 093302. https://doi.org/10.1063/5.0021463
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