ISSN (print) 1995-2732
ISSN (online) 2412-9003

 

download PDF

DOI: 10.18503/1995-2732-2023-21-4-148-156

Abstract

Problem Statement. The paper presents the results of modeling the process of cold gas dynamic spraying of powder coatings. This process involves the deformation of metal particles by high-speed collision with a solid surface. The complexity of the interaction between particles and the substrate, when varying the parameters of the cold gas dynamic spraying process, contributes to using the mathematical modeling to predict the possibility of forming coatings. Objectives. The research is aimed at developing the mathematical model of gas flow and particle movement during cold gas dynamic spraying, factoring into the peculiarities of existing areas of gas flow and the size of powder particles. Methods Applied. Isentropic formulas were used to calculate the gas parameters inside the de Laval nozzle; the sprayed particle parameters were calculated, factoring into the values of the Mach number and the Reynolds number. Originality. The authors developed the mathematical model of the movement of gas flow in the process of cold gas dynamic spraying. This model is used to calculate accurately the gas consumption in short, well-contoured nozzles with a converging subsonic flow. The mathematical model was developed to calculate the parameters of sprayed particles and determine their sprayability. It has been shown theoretically that the spraying parameters in the process of cold gas dynamic spraying can be calculated factoring into the regulated parameters of particle speed or energy. Practical Relevance. Based on the developed mathematical models, the authors calculated the parameters of cold gas dynamic spraying, which have effect on the properties of the resulting coatings for particles ranging in size from 5 to 45 micrometers. The paper contains the obtained regularities that determine the possibility to apply powder of a certain fraction, as well as the dependence between speed and temperature of particles and their size. The results obtained can be used to predict the parameters of cold gas dynamic spraying of materials with low melting temperature.

Keywords

cold gas dynamic spraying, mathematical modeling, gas flow, powder material, particle size, powder particle temperature, powder particle speed, spraying efficiency

For citation

Bodrov E.G., Serebriakov I.S., Latfulina Yu.S., Naprimerova E.D., Myasoedov V.A., Samodurova M.N. Mathematical Modeling of the Process of Cold Gas Dynamic Spraying of Powder Non-Ferrous Metals. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2023, vol. 21, no. 4, pp. 148-156. https://doi.org/10.18503/1995-2732-2023-21-4-148-156

Evgeniy G. Bodrov – Technical Director, KONAR JSC, Chelyabinsk, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.

Ivan S. Serebriakov – PhD (Eng.), Engineer, SARDOU SA, Saint-Soupplets, France. Email: This email address is being protected from spambots. You need JavaScript enabled to view it..

Yuliya S. Latfulina – Research Associate, South Ural State University, Chelyabinsk, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-2128-3965

Elena D. Naprimerova – postgraduate student, South Ural State University, Chelyabinsk, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it..

Vyacheslav A. Myasoedov – student, South Ural State University, Chelyabinsk, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it..

Marina N. Samodurova – DrSc (Eng.), Professor, South Ural State University, Chelyabinsk, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-1505-1068

1. Kumar S., Reddy Sai Kiran, Joshi S.V. Microstructure and performance of cold sprayed Al-SiC composite coatings with high fraction of particulates. Surface and Coatings Technology. 2017;318:62-71.

2. Onur Meydanoglu, Bertrand Jodoin, E. Sabri Kayali. Microstructure, mechanical properties and corrosion performance of 7075 Al matrix ceramic particle reinforced composite coatings produced by the cold gas dynamic spraying process. Surface and Coatings Technology. 2013;235:108-116.

3. Dariusz M. Jarząbeka, Michał Milczarek, Tomasz Wojciechowski, Cezary Dziekoński, Marcin Chmielewski. The effect of metal coatings on the interfacial bonding strength of ceramics to copper in sintered Cu-SiC composites. Ceramics International. 2017;43:5283-5291.

4. Grigoriev S., Okunkova A., Sova A., Bertrand P., Smurov I. Cold spraying: from process fundamentals towards advanced applications. Surf. Coat. Technol. 2015;268:77-84.

5. Prieto R., Molina J.M., Narciso J., Louis E. Thermal conductivity of graphite flakes-SiC particles/metal composites. Composites Part A: Applied Science and Manufacturing. 2011;42:1970-1977.

6. Tazegul O., Dylmishi V., Cimenoglu H. Copper matrix composite coatings produced by cold spraying process for electrical applications. Archives of Civil and Mechanical Engineering. 2016;16(3):344-350.

7. Winnicki M., Małachowska A., Baszczuk A., Rutkowska-Gorczyca M., Kukla D., Lachowicz M., Ambroziak A. Corrosion protection and electrical conductivity of copper coatings deposited by low-pressure cold spraying. Surface and Coatings Technology. 2017;318:90-98.

8. Zhang Y., Michael Shockley J., Vo P. et al. Tribological behavior of a cold-sprayed Cu-MoS2 composite coating during dry sliding wear. Tribology Letters. 2016;62:9. https://doi.org/10.1007/s11249-016-0646-2

9. Pialago E.J.T., Kwon O.K., Kim M.-S., Park C.W. Ternary Cu-CNT-AlN composite coatings consolidated by cold spray deposition of mechanically alloyed powders. Journal of Alloys and Compounds. 2015;650:199-209.

10. Kostoula I. Triantou, Dimitris I. Pantelis, Guipont V., Jeandin M. Microstructure and tribological behavior of copper and composite copper+alumina cold sprayed coatings for various alumina contents. Wear. 2015;336-337:96-107.

11. Boron carbide (B4C) – Properties and information about boron carbide. The AZo Journal of Materials Online. Available at: http://www.azom.com/article. aspx? ArticleID=75 (Accessed on October 17, 2023).

12. Pialago E.J.T., Kwon O.K., Jin J.S., Park C.W. Nucleate pool boiling of R134a on cold sprayed Cu-CNT-SiC and Cu-CNT-AlN composite coatings. Applied Thermal Engineering. 2016;103:684-694.

13. Rui D., Xiangbo L., Jia W., Likun X. Electrochemical corrosion and mathematical model of cold spray Cu-Cu2O coating in NaCl solution - Part I: Tafel polarization region model. Int. J. Electrochem. Sci. 2013;8:5902-5924.

14. Makeykin A.M. Methodology for planning multifactorial experiment of influence of cold gas dynamic spraying modes on the material utilization factor. Vestnik nauki [Bulletin of Science]. 2023;(7(64)):275-279. (In Russ.)

15. Volkov A.O. Overview of cold gas dynamic spraying: problems and prospects. Avtomobilnyi transport [Automobile Transport]. 2019;(45):91-102. (In Russ.)

16. Kozlov I.A., Leshchev K.A., Nikiforov A.A., Demin S.A. Cold gas dynamic spraying of coatings (review). Trudy VIAM [Proceedings of VIAM]. 2020;(8(90)):77-93. (In Russ.)

17. Latfulina Yu.S., Doubenskaia M., Samodurova M.N., Trofimov E.A., Barkov L.A. Implementation of a copper-tungsten coating by cold gas dynamic spraying. Vestnik Magnitogorskogo gosudarstvennogo tekhnicheskogo universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2021;(2):40-49. (In Russ.)

18. Arkhipov V.E., Muravyeva T.I., Pugachev M.S., Shcherbakova O.O. Structural-phase transformations in the coating based on copper and zinc particles applied by gas dynamic spraying. Metallovedenie i termicheskaya obrabotka metallov [Metal Science and Heat Treatment]. 2020;(4(778)):32-36. (In Russ.)