Mechanisms of destruction of mineral particles and kinetic characteristics of ferromagnetic bodies in vortex layer devices

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Abstract

Identification of the mechanisms of destruction of particles of mineral components during processing in grinding devices is a scientific and practical problem, the solution of which has not yet been presented in its final form. In this paper, kinetic characteristics of ferromagnetic bodies moving under the influence of an electromagnetic field in a vortex layer apparatus are determined. A mathematical model of the motion of ferromagnetic bodies is implemented taking into account the radial inhomogeneity of the magnetic field induction. The dependence of the velocity of a ferromagnetic body on the radial coordinate for various values of the magnetic field induction and its gradient is calculated and it is shown that a ferromagnetic body can accelerate to 50 m/s. A approximate model of the disintegration of particles of a mineral component (Portland cement) as a result of their collision during processing in a vortex layer apparatus is proposed. It is found that the number of acts of disintegration for the majority of Portland cement is two, which is significantly less than the number of collisions of such particles. It has been established that the main factors influencing the destruction of particles and their activation during mechanomagnetic processing in the vortex layer apparatus are: 1) the value of magnetic induction; 2) the gradient of magnetic induction (the switching frequency of electromagnets in the vortex layer apparatus); 3) the magnetic susceptibility of the substance of the processed material. Based on the analysis of the distribution curves of mineral substance particles after crushing, zoning of the working chamber of the vortex layer apparatus is proposed: 1) the zone of mixing, grinding and activation of particles (the range of movement of ferromagnetic bodies is 0–12 m/s); 2) the zone of intensive grinding and activation of particles (the speed range is 12–50 m/s).

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About the authors

R. А. Ibragimov

Kazan State University of Architecture and Civil Engineering

Author for correspondence.
Email: rusmag007@yandex.ru

Candidate of Sciences (Engineering)

Russian Federation, 1, Zelenaya Street, Kazan, 420043

E. V. Korolev

Saint Petersburg State University of Architecture and Civil Engineering

Email: korolev@nocnt.ru

Doctor of Sciences (Engineering)

Russian Federation, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg, 190005

Sh. Kh. Zaripov

Kazan Federal University

Email: shamil.zaripov@gmail.com

Doctor of Sciences (Physics and Mathematics)

Russian Federation, 5, Tovarishcheskaya Street, Kazan, 420097

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Supplementary files

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2. Fig. 1. Scheme of the working chamber VLA: 1 – inductor; 2 – winding; 3 – wall of the working chamber

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3. Fig. 2. Vector field of magnetic induction inside the working chamber of the device with different numbers of pole pairs: a – р=1; b – р=2; c – р=3; d – р=4

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4. Fig. 3. Dependencies ( , ) and ( , )

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5. Fig. 4. Distribution of magnetic field induction B along opposite poles

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6. Fig. 5. Distribution of the velocity of a ferromagnetic body by radius for different gradients of magnetic field induction

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7. Fig. 6. Dependence of the number of decay cycles of processed particles on the specific surface for different n

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8. Fig. 7. Particle size distribution of Portland cement powder

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