S-model of ore purification in a thickener

The article is devoted to the development of a mathematical model and the structure of the blocks simulating the technological process of pulp sedimentation in a thickener. The obtained model results from a theoretical description of the sedimentation process based on the known laws of free motion of spheroid fine ore grains, which is crucial for designing and adjusting automatic process control systems. Considering the geometric dimensions of the thickener and the fractional composition of the pulp, it becomes possible to study the thickener as an integral part of the automatic control system. The developed mathematical model makes use of the Stokes’s law which determines the resistance force F acting on a solid sphere when it slowly moves through unlimited viscous fluid. This makes it possible to obtain the differential equation of the process using Laplace images, the transition curve accurately approximated by the equation for the aperiodic link of automatic control. A theoretical description of the technological process thickening serves as a basis for obtaining an equation for the time change in a flow path of an ore particle. The integration of the equation for the change in a path results in accurate approximation of the mathematical sedimentation model by a first-order aperiodic link, which is expected to be the basis for the further development of an automatic sedimentation process control system.

Leonov R. E., Sosnovskaya D. V. S-model of ore purification in a thickener. MIAB. Mining Inf. Anal. Bull. 2022;(11-1):190—198. [In Russ]. DOI: 10.25018/0236_1493_2022_111_0_190.

Leonov R. E.¹, Cand. Sci. (Eng.), Associate Professor, Professor of the Department of Automation and Computer — Integrated Technologies, ORCID ID: 0000-0002-2531-8336, lprep2011@mail.ru;
Sosnovskaya D. V., Master’s Degree Student majoring in Automation and Control of Technological Processes at Hazardous Production Facilities, Department of Automation and Computer — Integrated Technologies, ORCID ID: 0000-0002-6707-080X, daria.sosnovskaya.1999@gmail.com;
¹ Federal State Budgetary Institution of Higher Education «Ural State Mining University» (FSBI HO «USMU»), 30 Kuibyshev str., Yekaterinburg, Russia, 620144.

Leonov R. E., lprep2011@mail.ru.

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