中国物理B ›› 2013, Vol. 22 ›› Issue (12): 124703-124703.doi: 10.1088/1674-1056/22/12/124703

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Modelling the unsteady melt flow under a pulsed magnetic field

陈国军a, 张永杰b, 杨院生c   

  1. 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
  • 收稿日期:2013-08-07 修回日期:2013-09-24 出版日期:2013-10-25 发布日期:2013-10-25
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 51034012).

Modelling the unsteady melt flow under a pulsed magnetic field

Chen Guo-Jun (陈国军)a, Zhang Yong-Jie (张永杰)b, Yang Yuan-Sheng (杨院生)c   

  1. 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
  • Received:2013-08-07 Revised:2013-09-24 Online:2013-10-25 Published:2013-10-25
  • Contact: Chen Guo-Jun E-mail:guojunchen_1984@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 51034012).

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摘要： 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.

关键词: pulsed magnetic field, Fourier series, velocity field, turbulent model

Abstract: 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.

Key words: pulsed magnetic field, Fourier series, velocity field, turbulent model

中图分类号:  (Magnetohydrodynamics and electrohydrodynamics)

  • 47.65.-d
47.11.Df (Finite volume methods) 47.27.em (Eddy-viscosity closures; Reynolds stress modeling) 02.30.Nw (Fourier analysis)