Oliіnyk T., Nevzorov V. Analysis of mathematical models of material size separation considering equipment and material characteristics and screening conditions
- Details
- 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.
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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. , ORCID 0000-0002-0315-7308
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), ORCID 0009-0004-9145-6042