DOI: 10.52150/2522-9117-2026-40-027
S. Ye. Samokhvalov1, D. Sc. (Tech.), Professor, ORСID 0000-0002-7362-213X
V. P. Piptyuk1, Ph. D. (Tech.), Senior Researcher, ORCID 0000-0002-2915-1756
S. V. Grekov1,*, Researcher, ORCID 0000-0003-2849-0999
1 Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine
* Corresponding author: gsv4321@i.ua
MATHEMATICAL MODELING OF THE DINAMICS OF ADDITIVES WITH DIFFERENT SPESIFIC DENSITIES DURING THEIR COLLECTIVE INTRODUCTION INTO THE LADLE
Abstract. The work develops a mathematical model of hydrodynamic and mass transfer processes in ladles during the collective introduction of lump additives into the metal melt in a ladle-furnace unit (LFU), which takes into account the difference in their specific densities. The model was implemented in C# using Visual Studio 2022. Python and the artificial intelligence capabilities of the ChatGPT, Gemini, and Grok services were used to visualize the calculations. Using the developed software, a series of process calculations were performed, which allowed us to assess the influence of the specific density of the fed materials on the hydrodynamics of the melt in the ladle on the LFU and the subsequent mass transfer of additives. It was found that differences in the specific densities of the additives lead to differences in the characteristics of their distribution after introduction, which affects the nature of their subsequent dynamics in the ladle.
Keywords: quantity of additive material, hydrodynamics of liquid metal bath.
For citation: Samokhvalov, S. Ye., Piptyuk, V. P., & Grekov, S. V. (2026). Mathematical modeling of the dinamics of additives with different spesific densities during their collective introduction into the ladle. Fundamental and applied problems of ferrous metallurgy, 40, 454-464. https://doi.org/10.52150/2522-9117-2026-40-027
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Рукопис надійшов до редакції / Received 27.10.2025
Рекомендовано до друку / Accepted 28.05.2026
Опубліковано / Published 30.05.2026
