Affiliations: [a] State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, China | [b] Department of Engineering Mechanics, Chongqing University, Chongqing, China | [c] Chongqing Key Laboratory of Heterogeneous Material Mechanics, Chongqing University, Chongqing, China | [d] State Key Laboratory of Crystal Material, Shandong University, Jinan, Shandong, China | [e] College of Engineering and Technology, Southwest University, Chongqing, China
Correspondence:
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Corresponding author: Zhong Zeng, Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing, China. Tel.: +86 13638333680; Fax: +86 23 65111067; E-mail:zzeng@cqu.edu.cn
Abstract: The skin effect appears when a rotating magnetic field (RMF) penetrates the
melt with electrical conductivity, and the skin effect becomes more obvious
with the increased dimensionless shielding parameter K. In this paper, an
analytic solution, based on the Bessel functions for the distribution of the
rotating magnetic field with the skin effect in melt was derived. In order
to model the interaction of the rotating magnetic field and melt convection,
the polynomial of the analytic solution was truncated in different terms. In
addition, the applicative range of K for different truncation was estimated.
Then the rotating magnetic field with truncation was introduced to the
rotating magnetic field Φ1-Φ2 model. Through the
simulation results of the finite volume method, the estimated range of K for
the approximate magnetic field with different truncation was verified.
Keywords: Rotating magnetic fields, the skin effect, computer simulation, fluid flows
