磁场中磁性颗粒间磁力的三维有限元分析  

Study of the magnetic force between magnetic particles in magnetic field based on 3D-FEM

作　　者：赵一飞 冉红想 晏全香[1] 库建刚[1,3] ZHAO Yifei;RAN Hongxiang;YAN Quanxiang;KU Jiangang(Zijin School of Geology and Mining,Fuzhou University,Fuzhou,Fujian 350116;State Key Laboratory of Mineral Processing,Beijing 100160;Fujian Key Laboratory of Green Extraction and High-value Utilization of New EnergyMetals,Fuzhou,Fujian350116)

机构地区：[1]福州大学紫金地质与矿业学院,福建福州1350116 [2]矿物加工科学与技术国家重点实验室,北京100160 [3]福建省能源金属绿色提取与高值利用重点实验室,福建福州1350116

出　　处：《中国矿业大学学报》2023年第5期1022-1029,共8页Journal of China University of Mining & Technology

基　　金：国家自然科学基金项目(52174245);矿物加工科学与技术国家重点实验室开放基金项目(BGRIMM-KJSKL-2022-03,2021-02)。

摘　　要：采用有限元法构建三维磁偶极子模型,对均匀磁化的两磁性颗粒间的相互作用力进行计算.将有限元计算结果与文献中常用的2种磁偶极子公式计算结果进行比较,基于此,对磁场中磁性颗粒表面的磁场强度、磁感应强度进行积分,并对磁偶极子公式中的磁场强度H项进行修正,推导出新的磁偶极子公式.结果表明:当颗粒间距小于2.5倍粒径时,相较于有限元计算结果,改进磁偶极子公式、局部磁偶极子公式的磁力误差较大,误差随间距的增加而减小,但最小值仍大于31%.本文推导出的新公式相对于有限元法计算磁力的误差可降低至3%以下,显著提高了毗邻磁性颗粒间的磁力计算准确度.We used a 3D finite element method(FEM) to calculate the interaction force between two uniformly magnetized particles. The calculation results of finite element are compared with the calculation results of two magnetic dipole formulas commonly used in literature. The magnetic strength and magnetic induction intensity on the surface of a magnetized particle in magnetic field is integrated, then the magnetic field strength H herm in formula is corrected and a more accurate magnetic dipole formula is derived. The results show that when the inter-particle distance is less than 2.5 times the particle diameter, compared with the finite element calculation results, the error of magnetic dipole formulas is significant. The error decreases with the increase of inter-particle distance, but the minimum value is still more than 31%. Compared with the 3D-FEM, the error of magnetic force calculated by the new formula can be reduced to less than 3%, which significantly improves the calculation accuracy of magnetic force between adjacent magnetic particles.

关 键 词：磁偶极子 磁性颗粒 三维有限元 磁作用力 新公式 

分 类 号：O441.2[理学—电磁学]