Methodical approach to studies of magnetic interaction of fine particles in an aqueous suspension using computer simulation

S. Ostapenko, A.S. Opalev
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Abstract

The need to increase the efficiency of mining operations determines the relevance of studying the properties of fine mineral particles for their extraction and reduction of environmental pollution. The development of approaches to studying magnetic interaction of fine particles is of scientific and practical importance and is associated with the complexity of calculating the superposition of their fields when solving the problem of controlling the magnetic properties of a suspension. A computer model of the dynamics of magnetic particle interaction was developed with account for their aggregation under the impact of the magnetic dipole-dipole interaction and the destruction of aggregates during thermal (Brownian) motion in order to predict the magnetic properties of the suspension using the example of magnetite deposits of the Zaimandrovsky iron ore region. The calculation shows that the electrostatic and dispersion interactions do not have a significant effect on the interaction dynamics of micron and submicron particles of magnetite with account of the experimentally measured zeta potential and the Hamaker's constant. A procedure has been developed for calibrating a computer model of the interaction dynamics of magnetic particles using the temperature dependence of the coefficient of translational diffusion of magnetite particles and the concentration dependence of the magnetic susceptibility of a suspension. An array of calculated values of the diffusion coefficient of the model particles and the initial magnetic susceptibility of their system is formed in a wide range of computer model parameters. A procedure has been developed for linking the calculated and experimental data by varying the normalization parameters of the particle size, viscosity of the medium, and thermal energy in order to minimize the maximum discrepancy between the values. The necessity is established of taking into account the change in magnetic properties with a decrease in the size of magnetite particles during the calibration of the magnetic susceptibility of a model system. The developed methodological approach ensures good convergence of the calculated and experimental data and makes it possible to visualize the aggregation of the model particles as the result of dipole-dipole interactions. The developed computer model of the interaction dynamics of magnetic particles can be used to study the effect of an external magnetic field on the aggregation ability of fine magnetite particles in order to control their extraction in separation processes.
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利用计算机模拟研究水悬浮液中细小颗粒磁性相互作用的方法论
提高采矿作业效率的需要决定了研究细小矿物颗粒的特性对开采和减少环境污染的意义。开发研究细颗粒磁性相互作用的方法具有重要的科学和实际意义,这与在解决悬浮液磁性控制问题时计算其磁场叠加的复杂性有关。为了预测悬浮液的磁性能,以 Zaimandrovsky 铁矿区的磁铁矿矿床为例,建立了一个磁性颗粒相互作用动力学计算机模型,其中考虑了它们在磁偶极-偶极相互作用影响下的聚集以及热(布朗)运动过程中聚集体的破坏。计算结果表明,考虑到实验测量的 zeta 电位和 Hamaker 常数,静电和分散相互作用对微米和亚微米磁铁矿颗粒的相互作用动力学没有显著影响。利用磁铁矿颗粒平移扩散系数的温度依赖性和悬浮液磁感应强度的浓度依赖性,开发了一种校准磁性颗粒相互作用动力学计算机模型的程序。在广泛的计算机模型参数范围内,形成了一系列模型颗粒扩散系数及其系统初始磁感应强度的计算值。通过改变粒度、介质粘度和热能的归一化参数,开发了一种将计算数据和实验数据联系起来的程序,以尽量减小数值之间的最大差异。在校准模型系统的磁感应强度时,有必要考虑磁铁矿颗粒尺寸减小带来的磁特性变化。所开发的方法确保了计算数据和实验数据的良好收敛性,并使偶极-偶极相互作用导致的模型颗粒聚集可视化成为可能。所开发的磁性颗粒相互作用动力学计算机模型可用于研究外部磁场对细磁铁矿颗粒聚集能力的影响,以控制其在分离过程中的提取。
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