利用有限元法對板坯電磁攪拌中電磁場的數值模擬
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,建立了板坯內部電磁場的數學模型.為了滿足計算機求解的需要,對數學模型進行了離散化和簡化處理.使用有限元法對簡化后的數學模型進行了仿真,得到了電磁場等勢線圖和磁力分布圖.通過對磁場分布進行定性分析,得到了在其他條件不變的情況下,電磁力和電流強度、電磁力和電流頻率的變化關系.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.