Modeling particle flow in active zone of large-angle concentrator

The study focuses on modeling mineral gravity separation processes, in particular, on a large-angle concentrator designed at the Institute of Mining of the North, Siberian Branch of the Russian Academy of Sciences. The test data on particle motion on an inclined plane under the action of water flow are presented. The aim of this study is mathematical modeling to find probable position of useful fractions as function of certain parameters of the facility. Determination of probable position of a particle uses the Gibbs ensemble method. In steady-flow processes, the concentration of points of the ensemble is a probability distribution of particle location in the test space. The mathematical model was proved on a dedicated pilot installation using markers. The number of the markers in cells makes it possible to assess distribution of particles against water flow velocity and work face angle of slope. Using the mathematical model, the probable distribution of particles along the lower edge of the work face is calculated. The comparison and analysis show good correlation between the theoretical and experimental results. The further optimization of the concentrator design will use the particle motion modeling data.

Keywords: mineral processing, large angle concentrator, mathematical model, Gibbs ensemble, flow, particle, marker.
For citation:

Matveev I. A., Yakovlev B. V., Eremeeva N. G. Modeling particle flow in active zone of large-angle concentrator. MIAB. Mining Inf. Anal. Bull. 2021;(7):146-153. [In Russ]. DOI: 10.25018/0236_1493_2021_7_0_146.


The study was carried out under state contact with the Ministry of Science and Higher Education of the Russian Federation, Registration No.AAAA-A21-121012090008-4.

Issue number: 7
Year: 2021
Page number: 146-153
ISBN: 0236-1493
UDK: 622.7 (681)
DOI: 10.25018/0236_1493_2021_7_0_146
Article receipt date: 03.03.2021
Date of review receipt: 14.04.2021
Date of the editorial board′s decision on the article′s publishing: 10.06.2021
About authors:

I.A. Matveev1, Engineer,
B.V. Yakovlev, Dr. Sci. (Phys. Mathem.), Professor, e-mail:, Physical and Technical Institute, M.K. Ammosov North-Eastern Federal University, 677000, Yakutsk, Republic of Sakha (Yakutia) Russia,
N.G. Eremeeva1, Researcher, e-mail:,
1 Chersky Mining Institute of the North, Siberian Branch, Russian Academy of Sciences, 677980, Yakutsk, Republic of Sakha (Yakutia), Russia.


For contacts:

N.G. Eremeeva, e-mail:


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