Modelling the rotating magnetic field with the skin effect - 曾忠教授研究室

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.