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Название Mathematical modeling of hydro-vortex classification of fine mining and metallurgical waste
DOI 10.17580/gzh.2019.12.12
Автор Ugolnikov A. V., Makarov V. N., Makarov N. V., Boyarskikh G. A.
Информация об авторе

Ural State Mining University, Yekaterinburg, Russia:

A. V. Ugolnikov, Head of Chair, Associate Professor, Candidate of Engineering Sciences, ugolnikov@yandex.ru
V. N. Makarov, Professor, Doctor of Engineering Sciences
N. V. Makarov, Head of Chair, Associate Professor, Candidate of Engineering Sciences
G. A. Boyarskikh, Professor, Doctor of Engineering Sciences


Competitive ability of the mining and metallurgical industry in Russia is governed by the efficiency of utilizing solid human-made minerals (HMM) in high-technol ogy science-intensive production. The stringent classification requirements on dispersion of median sizes of HMM microparticles necessitate finding their obtainability in the conditions of probabilistic distribution of physical and mechanical parameters of feedstock. Based on the proposed theory of circulation heterocoagulation, the mathematical model and a separator are developed for hydro-vortex classification in fluid bed of HMM. The investigation methodology rests upon the experimentally proved hypothesis of considerably higher effect exerted on the trajectory of microparticles by the forces of hydrodynamically unstable inertia movement during hydro-vortex coagulation than by the aerodynamic forces of the displacement in fluid bed. The minimal diameter of absorbed diameter of microparticles during hydro-vortex coagulation only depends on the value of the rotational speed of liquid drops. Based on the relation between the diameter of absorbed particles of granular HMM components and the rotational speed of liquid drops, the equation is obtained for the relaxation time of liquid drops with integrated micro- and nano-particles of HMM depending on their median sizes during hydro-vortex classification. The proposed mathematical model of hydro-vortex separation of micro- and nano-particles of HMM enables determination of optimal geometrical parameters and power characteristics of classifying screen, aerator and arrangement of intake bunker. The implemented tests prove possibility of classifying fine mining and metallurgical waste in the median size range of (0.5–5)·10–6 m by fraction at the dispersion not more than 20%.

Ключевые слова Utilization, classification, circulation heterocoagulation, Reynolds and Euler criteria, hydrophoby, median size, dispersion
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