Numerical Study of the Solidification Process of a Thin Coating on a Body Surface
DOI:
https://doi.org/10.15802/stp2026/352327Keywords:
plasma spraying, coating hardening, temperature field, phase transition front; mathematical mod, phase transition front, mathematical modelAbstract
Purpose. Plasma spraying is widely used to strengthen and restore the working surfaces of product parts, which is due to the combination of its technical and economic advantages and high process efficiency. The active use of this technology, in particular when processing a wide range of parts, imposes increased requirements on the level of equipment used and the quality of raw materials. At the same time, the plasma spraying method of coatings has a number of limitations, which at the same time serve as a potential reserve for further improvement of technological solutions. An effective method for solving such problems is the use of mathematical models. The main goal of the work consists in building a nonlinear mathematical model of coating hardening on the surface of the body, taking into account the temperature dependence of thermophysical characteristics. Methodology. The mathematical model for studying the process of coating solidification on the body surface includes heat conduction equations for the solid crust and the base. Numerical integration of the modeling equations is carried out using the implicit difference method with front trapping at the grid node. Findings. A computer program has been developed that allows for numerical studies of the solidification processes of titanium and aluminum coatings on a steel base. The results of numerical modeling are presented. Originality. A nonlinear mathematical model has been developed to study the process of solidification of a thin coating on the surface of a body. The model is based on the numerical integration of heat conduction equations for the solid crust and the base and allows determining the change in temperature over time at different points of the «base – coating» system. Practical value. The developed mathematical model can be useful in studying the hardening of a coating sprayed onto a body surface, as well as in selecting the operating parameters of the plasma spraying process. It provides a scientific justification for the process parameters and operating modes of the equipment used. The model allows us to evaluate the dynamics of the formation of thermal fields in the hardening process of coatings.
References
Hasiy, O. B., & Aсberher, Y. L. (2001). To question of rising of metal- and wood-cutting instrument resistance by ion-plasma evaporation. Naukovyy visnyk UkrDLTU, 11.4, 135-139. (in Ukrainian)
Samborska, O. M., & Shelestovskyi, B. H. (2010). Chyselni metody. Ternopil, Ukraine: TNTU imeni Ivana Puliuia. Retrieved from https://elartu.tntu.edu.ua/handle/lib/20814 (in Ukrainian)
Miroshkina, I. V., & Palahina, O. A. (Comp). (2017). Chyselni metody. Cherkasy, Ukraine: ChDTU (in Ukraini-an)
Yaros, Y. O., Karpechenko, A. A., Bobrov, M. M., Kondratieva, A. А., Labartkava, A. V., & Savochkina, V. V. (2025). Deposition of plasma aluminum matrix composite coatings. Collection of Scientific Publications NUS, 2(500), 66-72. DOI: https://doi.org/10.15589/znp2025.2(500).10 (in Ukrainian)
Fizi, Y., Mebdoula, Y., Lahmar, H., Djieraf, S., & Benbahouche, S. (2015). Adhesion of FeCrNiBSi-(W-Ti)C wire-arc deposited coatings onto carbon steel substrates determined by indentation measurements and model-ling. Surface and Coating Technology, 268, 310-316. DOI: https://doi.org/10.1016/j.surfcoat.2014.11.004
Kopylov, V. (2016). Effect of multiphase structure of plasma coatings on their elastic and strength properties. Eastern-European Journal of Enterprise Technologies, 5(5(83)), 49-57. DOI: https://doi.org/10.15587/1729-4061.2016.79586
Liu, M., Peng, Q., & Huang, Y. (2024). Influencing Factors and Process Optimization of Al/SiC Powder-cored Wires by Plasma Transferred Wire Arc Spraying. Journal of Thermal Spray Technology, 33, 2167-2183. DOI: https://doi.org/10.1007/ s11666-024-01823-2
Rahman, M., Profili, J., Stafford, L., & Moreau, C. (2024). Surface preparation of aluminium by atmospheric-pressure plasma jet for suspension plasma sprayed ceramic coatings. Surface and Coating Technology, 476, 130-175. DOI: https://doi.org/10.1016/ j.surfcoat.2023.130175
Wang, Y., Sun, C., Sun, J., Zhao, W., Dong, L., Li L., & Meng, F. (2015). Erosion behaviour of arc sprayed FeTi/CrB MMC coating at elevated temperature. Surface and Coating Technology, 262, 141-147. DOI: https://doi.org/10.1016/j.surfcoat.2014.12.027
Zhao, L., Zhou, D., Xie, G., Peng, Y., Ciu, X., Wang, J., & Xiong, T. (2023). Unraveling the influence of Al particle size on microstructure and tribological properties of cold sprayed Al/B4C composite coatings. Materialstoday Communications, 34, 105257. DOI: https://doi.org/10.1016/j.mtcomm.2022.105257
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