A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows

Li, Xiang1,2,3; Dong, Zhi-Qiang1,2,3; Wang, Lian-Ping1,2,7; Niu, Xiao-Dong4; Yamaguchi, Hiroshi5; Li, De-Cai6; Yu, Peng1,2

2023-05-01

10.1016/j.apm.2022.12.025

APPLIED MATHEMATICAL MODELLING   影响因子和分区

0307-904X

1872-8480

In the present study, a magnetic field coupling fractional step lattice Boltzmann (FSLB) model is proposed to simulate the complex interfacial behaviors in magnetic multiphase flows with severe interface deformation and large density ratio, which can be recov-ered to the corresponding macroscopic governing equations with fully second-order accu-racy. Since the equilibrium and the non-equilibrium terms are obtained by the Chapman-Enskog (C-E) expansion analysis, the basic idea of the present method is to predict the intermediate variables by updating the various moments of equilibrium distribution func-tions first, and then correct the physical variables by updating the various moments of non-equilibrium distribution functions. Besides, the present magnetic field coupling FSLB method does not need the evolution of distribution functions compared to the existing LB methods. The present method inherits the excellent performance from the conventional LB method and the relatively better numerical stability from the matured fractional-step method, which is more stable than the original LB method and more efficiency and easy-to-implement than the LB flux solver. Owing to those good properties, we successfully perform the first rigorous numerical simulation on the Rosensweig instability, which accu-rately captures the spikes forming at the surface of a ferrofluid under an applied magnetic field. Moreover, for the first time we numerically reproduce the falling ferrofluid droplet impacted on the solid surface. Intriguingly, our simulation results reveal that the falling velocity of the ferrofluid droplet is slightly accelerated by the elongation, although the di-rection of the magnetic field is opposite to that of the gravity. All the results for the inter -facial behavior and the magnetic interaction highlights the comparative capability, stability, and accuracy of the present magnetic field coupling FSLB method for simulating the prob-lems of complex fluid dynamics associated with a severe interface deformation and large density ratio in magnetic multiphase flows. (c) 2022 Elsevier Inc. All rights reserved.

Lattice Boltzmann method Fractional step method Wetting boundary Rosensweig instability Magnetic multiphase flow

SCI ; EI

英语

ESI热点 ; ESI高被引

第一 ; 通讯

Shenzhen Science and Technology Innovation Commission[JSGG2022083110140 0 0 02] ; Department of Education of Guangdong Province[2020KZDZX1185] ; National Natural Science Foundation of China (NSFC)[91852205] ; China Postdoctoral Science Foundation[2022TQ0138] ; Guangdong Basic and Applied Basic Research Foundation[2022A1515011057]

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000912301900001

ELSEVIER SCIENCE INC

20230213371840

Distribution functions ; Drop breakup ; Magnetic fields ; Numerical methods ; Stability ; Wetting

Fluid Flow, General:631.1 ; Magnetism: Basic Concepts and Phenomena:701.2 ; Numerical Methods:921.6 ; Probability Theory:922.1 ; Physical Properties of Gases, Liquids and Solids:931.2

ENGINEERING

2-s2.0-85145882228

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Ctr Complex Flows & Soft Matter Res, Shenzhen 518055, Peoples R China
3.Harbin Inst Technol, Harbin 150001, Peoples R China
4.Shantou Univ, Coll Engn, 243 Daxue Rd, Shantou 515063, Peoples R China
5.Doshisha Univ, Energy Convers Res Ctr, Kyoto 6300321, Japan
6.Tsinghua Univ, Dept Mech Engn, Beijing 100084, Peoples R China
7.Univ Delaware, Dept Mech Engn, Newark, DE 19716 USA

Li, Xiang,Dong, Zhi-Qiang,Wang, Lian-Ping,et al. A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows[J]. APPLIED MATHEMATICAL MODELLING,2023,117:219-250.

Li, Xiang.,Dong, Zhi-Qiang.,Wang, Lian-Ping.,Niu, Xiao-Dong.,Yamaguchi, Hiroshi.,...&Yu, Peng.(2023).A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows.APPLIED MATHEMATICAL MODELLING,117,219-250.

Li, Xiang,et al."A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows".APPLIED MATHEMATICAL MODELLING 117(2023):219-250.