In the present study, a fractional-step-based multiphase lattice Boltzmann (LB) method coupled with a solution of a magnetic field evolution is developed to predict the interface behavior in magnetic multiphase flows. The incompressible Navier–Stokes equations are utilized for the flow field, while the Cahn–Hilliard equation is adopted to track the interface, and these governing equations are solved by reconstructing solutions within the LB framework with the prediction–correction step based on a fractional-step method. The proposed numerical model inherits the excellent performance of kinetic theory from the LB method and integrates the good numerical stability from the fractional-step method. Meanwhile, the macroscopic variables can be simply and directly calculated by the equilibrium distribution functions, which saves the virtual memories and simplifies the computational process. The proposed numerical model is validated by simulating two problems, i.e., a bubble rising with a density ratio of 1000 and a viscosity ratio of 100 and a stationary circular cylinder under an external uniform magnetic field. The interfacial deformations of a ferrofluid droplet in organic oil and an aqueous droplet in ferrofluid under the external magnetic field are, then, simulated, and the underlying mechanisms are discussed. Moreover, the rising process of a gas bubble in the ferrofluid is investigated, which shows that the rising velocity is accelerated under the effect of the external magnetic field. All the numerical examples demonstrate the capability of the present numerical method to handle the problem with the interfacial deformation in magnetic multiphase flows.
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August 2020
Research Article|
August 17 2020
Numerical investigation of magnetic multiphase flows by the fractional-step-based multiphase lattice Boltzmann method
Special Collection:
Recent Advances in Theory, Simulations, and Experiments on Multiphase Flows
Xiang Li (李翔)
;
Xiang Li (李翔)
1
Harbin Institute of Technology
, Harbin 515063, China
2
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology
, Shenzhen 518055, China
3
Center for Complex Flows and Soft Matter Research, Southern University of Science and Technology
, Shenzhen 518055, China
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Zhi-Qiang Dong (董志强);
Zhi-Qiang Dong (董志强)
1
Harbin Institute of Technology
, Harbin 515063, China
2
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology
, Shenzhen 518055, China
3
Center for Complex Flows and Soft Matter Research, Southern University of Science and Technology
, Shenzhen 518055, China
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Peng Yu (余鹏)
;
Peng Yu (余鹏)
a)
2
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology
, Shenzhen 518055, China
3
Center for Complex Flows and Soft Matter Research, Southern University of Science and Technology
, Shenzhen 518055, China
4
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology
, Shenzhen 518055, China
5
Shenzhen Key Laboratory of Complex Aerospace Flows, Southern University of Science and Technology
, Shenzhen 518055, China
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Xiao-Dong Niu (牛小东);
Xiao-Dong Niu (牛小东)
a)
6
College of Engineering, Shantou University
, 243 Daxue Road, Shantou 515063, China
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Lian-Ping Wang (王连平);
Lian-Ping Wang (王连平)
2
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology
, Shenzhen 518055, China
3
Center for Complex Flows and Soft Matter Research, Southern University of Science and Technology
, Shenzhen 518055, China
4
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology
, Shenzhen 518055, China
7
Department of Mechanical Engineering, University of Delaware
, Newark, Delaware 19716-3140, USA
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De-Cai Li (李德才);
De-Cai Li (李德才)
8
Department of Mechanical Engineering, Tsinghua University
, Beijing 100084, China
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Hiroshi Yamaguchi (山口博司)
Hiroshi Yamaguchi (山口博司)
9
Energy Conversion Research Center, Doshisha University
, Kyoto 630-0321, Japan
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Note: This paper is part of the Special Topic, Recent Advances in Theory, Simulations, and Experiments on Multiphase Flows.
Physics of Fluids 32, 083309 (2020)
Article history
Received:
July 07 2020
Accepted:
July 28 2020
Citation
Xiang Li, Zhi-Qiang Dong, Peng Yu, Xiao-Dong Niu, Lian-Ping Wang, De-Cai Li, Hiroshi Yamaguchi; Numerical investigation of magnetic multiphase flows by the fractional-step-based multiphase lattice Boltzmann method. Physics of Fluids 1 August 2020; 32 (8): 083309. https://doi.org/10.1063/5.0020903
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