微细赤铁矿粒间磁作用力的有限元计算
Finite Element Calculation of Magnetic Force between Fine Hematite Particles
有限元方法与由磁偶极子等效模型得出的理论计算式是研究矿粒间磁相互作用力以及磁团聚现象的重要手段。本文给出了一种有限元模拟的方法,并用其计算5T外磁场中等径微细赤铁矿粒间的磁相互作用力。该方法使用旋转的磁场强度矢量作为边界条件,从而使得矿粒坐标系保持静止。根据对计算精度影响程度的不同,把计算域划分成具有不同网格密度的子区域。分别以矿粒间距和磁场旋转角度为变量与理论计算式的计算结果进行全面的比较。研究结果表明:对于弱磁性的微细赤铁矿粒,由磁偶极子等效模型得出的理论计算式具有很高的准确性。当矿粒间距较小时有限元方法能够获得满意的计算精度。而有限元方法自身所带来的具有固定数量级的计算误差是导致磁作用力计算误差随着矿粒间距增加而增加的根本原因。
he theoretical formulations, which were derived from the magnetic dipole effective model, and finite element method, are important for researching magnetic force between mineral particles, moreover, for researching magnetic agglomeration. This paper presents a finite element method, and uses it to calculate the magnetic force between equal-diameter fine hematite particles under the external field of up to 5T. In the method the rotated magnetic field vector is served as boundary condition, which makes mineral particle coordinates remain static. The computational domain is divided several zones with different meshing densities, according to the different effects on the accuracy. Taken mineral particle spacing and magnetic rotation angle as variables respectively, the comprehensively comparison between the finite element method and the theoretical formulations is performed. The results show that, the theoretical formulations have high accuracy for the fine hematite particle; the shorter particle spacing, more satisfied calculated results the finite element method can provide; the computational error with fixed order of magnitude, which originates from the finite element method itself, leads to the calculation errors increases with increase of mineral particle spacing.
徐风雨
选矿
矿物磁分离磁团聚赤铁矿磁作用力有限元分析
mineral magnetic separationmagnetic agglomerationhematitemagnetic forcefinite element analysis.
徐风雨.微细赤铁矿粒间磁作用力的有限元计算[EB/OL].(2014-09-29)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/201409-374.点此复制
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