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https://sci.ldubgd.edu.ua/jspui/handle/123456789/13997| Title: | Computer Modelling of the Process of Separation of Heterogeneous Elements (Spheres) |
| Authors: | PASTERNAK, Viktoriya RUBAN, Artem HORBACHENKO, Yurii VAVRENIUK, Sergii |
| Keywords: | separation spheres modelling physical and mechanical parameters system correlation dependencies |
| Issue Date: | 2024 |
| Publisher: | Trans Tech Publications Ltd |
| Series/Report no.: | Advances in Science and Technology;Vol. 156 |
| Abstract: | This scientific study considers the results of a computer experiment with heterogeneous elements (spheres) that proved to be of decisive importance during the separation process, namely their degree of activity, mobility and falling. It has been found that a detailed analysis of the Liapunov function indices allows to effectively understand and predict the dynamics of complex dynamical systems. The results obtained indicate significant changes in the physical and mechanical parameters of spherical balls under the influence of various factors and the environment. It was found that a certain accumulation of spheres occurs due to an increase in the time for simulation. It was also found that the key characteristics of the bulk mass of spherical elements significantly depend on the moulding process, surface condition and environmental conditions. |
| Description: | Non-homogeneous elements, in particular spheres, can be considered as heterogeneous suspensions or mixtures of various components of any materials [1, 2]. In our context, spheres are individual particles or heterogeneous elements in a heterogeneous medium (heterogeneous system) [3, 4, 5]. In particular, spheres are circular heterogeneous particles that can be solid objects or elements that have the shape of a sphere (i.e., a circle) [6, 7, 8]. It should be noted that such elements are geometric bodies in which all points of the surface are equal in distance from a central point called the centre of the sphere [9, 10, 11]. Spherical particles are often used as a model for studying various physical and chemical phenomena in scientific research, and they are widely used in various fields [12, 13, 14]. The study of spherical particles is a mathematically convenient approach for analysis and computer modelling [15, 16, 17]. In some cases, when a circular element or object can be approximated by a sphere shape, it simplifies calculations and solving various problems [18, 19, 20]. For example, in our case, we study elements with spherical particles and the process of their separation. Modelling of such particles with a detailed study of separation can be used to analyse their behaviour, properties, and interaction in a heterogeneous system. One possible approach is to consider a heterogeneous system as a set of spheres with different physical and mechanical characteristics. Such a system may include spheres with different sizes, densities, hardnesses, shape factors, coordination numbers, etc. In order to model the separation process for such a heterogeneous system, we need to take into account the various physical and mechanical parameters of each individual sphere (element), as well as their interaction during the separation process. |
| URI: | https://sci.ldubgd.edu.ua/jspui/handle/123456789/13997 |
| ISSN: | 1662-0356 |
| Appears in Collections: | 2024 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| SCOPUS 19.pdf | 791.05 kB | Adobe PDF | View/Open |
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