Numerical investigation of magnetic multiphase flows by the fractional-step-based multiphase lattice Boltzmann method

Physics of Fluids - Tập 32 Số 8 - 2020
Xiang Li1,2,3, Zhi-Qiang Dong1,2,3, Peng Yu1,2,4,5, Xiaodong Niu6, Lian‐Ping Wang1,7,2,4, Decai Li8, Hiroshi Yamaguchi9
1Center for Complex Flows and Soft Matter Research, Southern University of Science and Technology, Shenzhen 518055, China
2Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055, China
3Harbin Institute of Technology, Harbin 515063, China
4Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology, Shenzhen 518055, China
5Shenzhen Key Laboratory of Complex Aerospace Flows, Southern University of Science and Technology, Shenzhen 518055, China
6College of Engineering, Shantou University, 243 Daxue Road, Shantou 515063, China
7Department of Mechanical Engineering, University of Delaware, Newark, Delaware 19716-3140, USA
8Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
9Energy Conversion Research Center, Doshisha University, Kyoto 630-0321, Japan

Tóm tắt

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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Physics of Fluids

Tập 32 Số 8

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