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Modelling External Magnetic Fields of Magnetite Particles: From Micro- to Macro-Scale

机译：磁铁矿颗粒外部磁场建模：从微观到宏观

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We determine the role of particle shape in the type of magnetic extraction processes used in mining. We use a micromagnetic finite element method (FEM) to analyze the effect of external magnetic fields on the magnetic structures of sub-micron magnetite particles. In non-saturating fields, the magnetite particles contain multiple possible non-uniform magnetization states. The non-uniformity was found to gradually disappear with increasing applied field strength; at 100 mT the domain structure became near uniform; at 300 mT the magnetic structure saturates and the magnetization direction aligned with the field. In magnetic separation techniques, we suggest that 100 mT is the optimal field for magnetite to maximize the magnetic field with the lowest energy transfer; larger particles, i.e., 1 μm, will likely saturate in smaller fields than this. We also examined the effect of external magnetic fields on a much larger irregular particle (L × W × H = 179.5 × 113 × 103 μm) that was too large to be examined using micromagnetics. To do this we used COMSOL. The results show the relative difference between the magnitude of magnetic flux density of the particle and that of a corresponding sphere of the same volume is 5% when the distance to the particle geometry center is more than five times the sphere radius. The ideas developed in this paper have the potential to improve magnetic mineral extraction yield.
机译：我们确定了颗粒形状在采矿中使用的磁选过程类型中的作用。我们使用微磁有限元方法（FEM）来分析外部磁场对亚微米磁铁矿颗粒磁结构的影响。在非饱和磁场中，磁铁矿颗粒包含多个可能的非均匀磁化状态。发现不均匀性随着施加的场强的增加而逐渐消失。在100 mT时，畴结构变得接近均匀;在300 mT时，磁性结构饱和，磁化方向与磁场对齐。在磁分离技术中，我们建议100 mT是磁铁矿的最佳场，以最小的能量传递最大化磁场。较大的粒子（即> 1μm）将在较小的场中比此饱和。我们还检查了外部磁场对更大的不规则粒子（L×W×H = 179.5×113×103μm）的影响，该粒子太大而无法使用微磁进行检查。为此，我们使用了COMSOL。结果表明，当到粒子几何中心的距离大于球体半径的五倍时，粒子的磁通密度的大小与相同体积的相应球体的磁通密度的相对差小于5％。本文提出的想法有可能提高磁性矿物的提取率。

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