Modelling the unsteady melt flow under a pulsed magnetic field

A numerical model for the unsteady flow under a pulsed magnetic field of a solenoid is developed, in which magnetohydrodynamic flow equations decouple into a transient magnetic diffusion equation and unsteady Navier–Stokes equations in conjunction with two equations of the k–ε turbulent model. A Fou...

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Bibliographic Details
Published inChinese physics B Vol. 22; no. 12; pp. 333 - 337
Main Author 陈国军 张永杰 杨院生
Format Journal Article
LanguageEnglish
Published 01.12.2013
Subjects
Fluid flow
Magnetic fields
Mathematical analysis
Mathematical models
Melts
Navier-Stokes equations
Stokes方程
Turbulence
Turbulent flow
Unsteady
傅立叶级数法
建模
扩散方程
数值结果
熔体流动
脉冲磁场
非定常流动
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/12/124703

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Summary:A numerical model for the unsteady flow under a pulsed magnetic field of a solenoid is developed, in which magnetohydrodynamic flow equations decouple into a transient magnetic diffusion equation and unsteady Navier–Stokes equations in conjunction with two equations of the k–ε turbulent model. A Fourier series method is used to implement the boundary condition of magnetic flux density under multiple periods of a pulsed magnetic field （PMF）. The numerical results are compared with the theoretical or experimental results to validate the model under a time-harmonic magnetic field; it is found that the toroidal vortex pair is the dominating structure within the melt flow under a PMF. The velocity field of a molten melt is in a quasi-steady state after several periods; changing the direction of the electromagnetic force causes the vibration of the melt surface under a PMF.
Bibliography:pulsed magnetic field Fourier series velocity field turbulent model
Chen Guo-Juna, Zhang Yong-Jieb, Yang Yuan-Shengc （a Key Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110819, China;b Energy and Environmental Research Institute, Central Research Institute of Baosteel Group, Shanghai 201900, China;c Institute of Metal Research, Chinese Academy of Sciences., Shenyang 110016, China ）
A numerical model for the unsteady flow under a pulsed magnetic field of a solenoid is developed, in which magnetohydrodynamic flow equations decouple into a transient magnetic diffusion equation and unsteady Navier–Stokes equations in conjunction with two equations of the k–ε turbulent model. A Fourier series method is used to implement the boundary condition of magnetic flux density under multiple periods of a pulsed magnetic field （PMF）. The numerical results are compared with the theoretical or experimental results to validate the model under a time-harmonic magnetic field; it is found that the toroidal vortex pair is the dominating structure within the melt flow under a PMF. The velocity field of a molten melt is in a quasi-steady state after several periods; changing the direction of the electromagnetic force causes the vibration of the melt surface under a PMF.
11-5639/O4
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/12/124703