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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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
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/12/124703

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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.
AbstractList A numerical model for the unsteady flow under a pulsed magnetic field of a solenoid is developed, in which magneto-hydrodynamic flow equations decouple into a transient magnetic diffusion equation and unsteady Navier-Stokes equations in conjunction with two equations of the k- epsilon 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.
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.
Author 陈国军 张永杰 杨院生
AuthorAffiliation Key Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110819, China Energy and Environmental Research Institute, Central Research Institute of Baosteel Group, Shanghai 201900, China Institute of Metal Research, Chinese Academy of Sciences., Shenyang 110016, China
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Notes 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.
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Snippet 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...
A numerical model for the unsteady flow under a pulsed magnetic field of a solenoid is developed, in which magneto-hydrodynamic flow equations decouple into a...
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SubjectTerms 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
Title Modelling the unsteady melt flow under a pulsed magnetic field
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