利用有限元法对板坯电磁搅拌中电磁场的数值模拟
Simulation of the Electromagnetic Field in Steel Slabs Based on the Finite Element Method
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摘要: 基于Maxwell方程,建立了板坯内部电磁场的数学模型.为了满足计算机求解的需要,对数学模型进行了离散化和简化处理.使用有限元法对简化后的数学模型进行了仿真,得到了电磁场等势线图和磁力分布图.通过对磁场分布进行定性分析,得到了在其他条件不变的情况下,电磁力和电流强度、电磁力和电流频率的变化关系.Abstract: Based on Maxwell equations, a model for describing the electromagnetic field in a slab was developed. To meet the need of numerical calculation the model was discretized and simplified. A simulation was conducted by means of the finite element method. The contour plot of the electromagnetic field was presented and analyzed. When the other parameters unchanged, the fundamental relationships between the frequency and Lorenz force and between the electrical current and Lorenz force were established respectively.