Oliіnyk T., Nevzorov V. Analysis of mathematical models of material size separation considering equipment and material characteristics and screening conditions

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Parent Category: Geo-Technical Mechanics, 2024

Category: Geo-Technical Mechanics, 2024, Issue 171

Geoteh. meh. 2024, 171, 47-58

https://doi.org/10.15407/geotm2024.171.047

 

ANALYSIS OF MATHEMATICAL MODELS OF MATERIAL SIZE SEPARATION CONSIDERING EQUIPMENT AND MATERIAL CHARACTERISTICS AND SCREENING CONDITIONS

Oliіnyk T. 

Nevzorov V. 

Kryvyi Rih National University

UDC 622.74:004.942

Language: English

Abstract. The present research aims to analyze modern mathematical models that describe the process of product screening and to assess the possibility of their use in predicting technological parameters of iron ore concentrate production. To this end, the authors of the paper analyze theories of screening, search for and analyze in detail data on mathematical models built on the specifics of screening, assess the possibility of using existing models to describe iron ore raw material screening that consider features of processing technologies, and evaluate factors that are unprovisioned in existing mathematical models regarding their possible impact on the final characteristics of marketable products. The research establishes that each of the models is based on the theory of separation. The mathematical models under study are developed for a specific mineral, the medium in which separation takes place, and also analyze equipment characteristics and several factors impacting the process. The development of a mathematical model requires not only analysis, assessment and consideration of factors to achieve separation efficiency of 80 % and more size 0.056 (0.044) mm, but also provision of a high degree of adequacy and reliability of the model for a real object. The practical significance consists in the possibility of developing and further using the mathematical model for screening iron ore raw materials with a grain size of 0.056 (0.044) mm to enable predicting ore and product screening indicators in flowsheets. This will increase efficiency of the iron ore concentrate production technology by creating more optimal conditions for separating the material by size during its preparation for grinding and beneficiation. The research confirms possible development and adaptation of a mathematical model that would describe the process of screening iron ore raw materials of class 0.056 (0.044) mm. The research identifies the main factors that require further study to allow verification of the adequacy of future models based on experimental data. These factors include properties of the medium of separation, magnetic properties of components of iron ore raw materials, specific gravity and density of the components, efficiency of separation of fine classes, and are currently unprovisioned in existing models.

Keywords: screen capacity, screening efficiency, separation characteristic, mathematical model, screening probability, material segregation, motion theory, discrete element method.

 REFERENCES

1. Biletsky, V.S., Oliynyk, T.A., Smirnov, V.O. and Skliar, L.V. (2019), Technique and technology of mineral processing. Part I. Preparatory processes, Publisher FOP Chernyavsky D.O., Kryvyi Rih, Ukraine.

2. Kim, A.I. (2017), Development and substantiation of a method for intensifying the process of screening bulk materials, Abstract of Ph.D. dissertation, East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan.

3. Dury, C. and Ristow, G. (1999), “Competition of mixing and segregation in rotating cylinders”, Physics of fluids, vol. 11, no. 6, pp. 1387–1394. https://doi.org/10.1063/1.870003

4. Smirnov, V.O. and Biletsky, V.S. (2012), Preparatory processes of minerals beneficiation, Donetsk: Eastern Publishing House, Donetsk, Ukraine.

5. Tikhonov, O. (1980), “Statistical theory of screening of polydisperse mixtures”, News of universities. Non-ferrous metallurgy, no. 6, pp. 165–177.

6. Loshkarev, Y. (1986), “On the theory of the screening process”, Effektivnost proizvodstva nerudnikh i nemetallorudnikh materialov i kachestvo produktsii. Sbornik publikatsii [Efficiency of production of non-metallic and non-metallic ore materials and product quality. Collection of publications], All-Union Research Institute of Non-metallic Construction Materials and Hydromechanization, Tolyati, USSR, pp. 27–37. https://doi.org/10.1002/maco.19860371215

7. Weisberg, L. and Rubisov, D. (1994), Vibration screening of bulk materials: process modeling and technological calculation of screens”, Institute “Mekhanobr”, St. Petersburg, Russia.

8. Ivanova, L. and Kisewalter, B. (1967), “Extraction of various particle sizes in the undersize product of the arc screen”, Ore benefication, no. 3, pp. 21–26.

9. Nepomnyashchiy, E. (1960), “On the theory of the screening process”, Ore benefication, no. 5, pp. 23–33.

10. Lapshin, E. and Shevchenko, A. (2012), “Mathematical modeling of the kinetics of screening and dewatering of mineral raw materials”, Scientific and technical collection of Mineral processing of the National Mining University of Ukraine, no. 51(92), pp. 55–64.

11. Naduty, V., Lapshin, E. and Shevchenko, O. (2011), “Mathematical modeling of a screen with shock excitation of the sieving surface”, Bulletin of the Lomonosov Moscow State Technical University, Automation of production processes in mechanical engineering and instrumentation: Ukrainian interdepartmental scientific and technical digest, no. 45, pp. 320–324.

12. Ferrara, G., Preti, U. and Schena, G.D. (1988), “Modelling of screening operations”, Intern. J. of Mineral Processing, vol. 22, no. 1, pp.193–222. https://doi.org/10.1016/0301-7516(88)90064-6

13. Korchevsky, A.N. (2010), Pneumatic vibration separation of scrap cable and wire products, Abstract of Ph.D. dissertation, Mineral Beneficiation, Donetsk National Technical University, Dnipro, Ukraine.

14. Bin, Zhang, Jinke, Gong, Wenhua, Yuan, Jun, Fu and Yi Huang (2016), “Intelligent Prediction of Sieving Efficiency in Vibrating Screens”, Shock and Vibration, vol. 2016, issue 1, https://doi.org/10.1155/2016/9175417

15. The official site of Derrick Corporation (2020), Polyweb Urethane Screens Brochure–04/20 [Online], available at: https://derrick.com/polyweb-screens/ (Accessed 17 July 2024).

 

About the authors:

Oliіnyk Tetiana, Doctor of Technical Sciences, Professor, Academician of AMSU, Head of the Department of Mineral Beneficiation and Chemistry, Kryvyi Rih National University, Kryvyi Rih, Dnipro region, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Nevzorov Vitalii, Postgraduate Student, Kryvyi Rih National University, Kryvyi Rih, Dnipro region, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author)

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