Modelling the unsteady melt flow under a pulsed magnetic field

doi:10.1088/1674-1056/22/12/124703

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.

Keywords: pulsed magnetic field Fourier series velocity field turbulent model

Received: 07 August 2013
Revised: 24 September 2013
Accepted manuscript online:

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

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51034012).

Corresponding Authors: Chen Guo-Jun
E-mail: guojunchen_1984@163.com

Cite this article:

Chen Guo-Jun (陈国军), Zhang Yong-Jie (张永杰), Yang Yuan-Sheng (杨院生) Modelling the unsteady melt flow under a pulsed magnetic field 2013 Chin. Phys. B 22 124703

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