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 in | Chinese physics B Vol. 22; no. 12; pp. 333 - 337 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
01.12.2013
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Subjects | |
Online Access | Get full text |
ISSN | 1674-1056 2058-3834 1741-4199 |
DOI | 10.1088/1674-1056/22/12/124703 |
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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. |
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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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CitedBy_id | crossref_primary_10_1016_j_matdes_2022_111127 crossref_primary_10_1108_HFF_11_2019_0825 crossref_primary_10_1631_jzus_A1700039 crossref_primary_10_4028_www_scientific_net_MSF_944_52 crossref_primary_10_1016_j_ijheatmasstransfer_2019_118524 crossref_primary_10_1016_j_spjpm_2016_08_002 crossref_primary_10_7498_aps_65_054701 crossref_primary_10_1016_j_ijheatmasstransfer_2017_12_125 crossref_primary_10_1016_j_jmrt_2020_12_100 crossref_primary_10_1016_j_powtec_2019_06_036 |
Cites_doi | 10.1016/j.msea.2007.03.061 10.7498/aps.52.115 10.1017/CBO9780511626333.007 10.1007/978-3-642-56026-2 10.1088/1674-1056/19/12/120302 10.1016/S1359-6462(00)00427-9 10.1016/0021-9991(80)90079-0 10.2355/isijinternational.34.715 10.1017/S0022112083001779 10.1016/j.jmatprotec.2011.11.018 10.1016/j.ijheatmasstransfer.2009.06.042 10.1017/S0022112085003275 10.1016/j.matlet.2007.01.007 10.1088/1009-1963/14/7/023 10.1016/j.msea.2008.06.027 10.1016/S1003-6326(08)60094-1 |
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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. 11-5639/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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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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