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


Читать на русскоя языкеS.P. Ostapenko, A.S. Opalev
Mining Institute of the Kola Science Centre of the Russian Academy of Science; Apatity, Russian Federation
Russian Mining Industry №5S / 2023 р. 142-149

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.

Keywords: iron ores, magnetite, fine particles, suspension, aggregation, computer dynamic model, simulation model, diffusion coefficient, magnetic susceptibility, Hamaker constant, zeta potential

Acknowledgments: The work was carried out within the framework of the State Assignment No. FMEZ-2022-0003 "Development of physical, physicochemical and digital bases for the development and industrial adaptation of effective technologies for processing of various types of mineral raw materials".

For citation: Ostapenko S.P., Opalev A.S. Methodical approach to studies of magnetic interaction of fine particles in an aqueous suspension using computer simulation. Russian Mining Industry. 2023;(5S):142–149.

Article info

Received: 23.10.2023

Revised: 22.11.2023

Accepted: 29.11.2023

Information about the authors

Sergey P. Ostapenko – Cand. Sci. (Eng.), Leading Researcher, Mining Institute Kola Science Centre of the Russian Academy of Science, Apatity, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Aleksandr S. Opalev – Cand. Sci. (Eng), Deputy Director of Science, Mining Institute Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


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