Model of free carbon formation when firing an artillery piece
Keywords:
Gun, propellant gases, temperature distribution, disproportionation reaction, soot, muzzle flashSynopsis
A phenomenon present in almost every shot, yet rarely addressed or explained in the literature, has been identified. It manifests itself in the muzzle discharge in the form of a certain volume of soot. The Boudouard thermochemical reaction (also referred to in some sources as the Boudouard–Bell reaction carbon monoxide disproportionation), which accounts for soot formation in propellant gases during firing, has been identified. The conditions under which this reaction can occur are discussed. A distinctive feature of this reaction is the formation of a condensed carbon phase during the firing process after gasification of the propellant charge.
Based on the physicochemical processes governing the expansion of propellant gases in the gun barrel, a mathematical model is proposed that makes it possible to estimate the temperature distribution during firing. The initial model is constructed using generally accepted assumptions. The modeling results obtained on its basis can therefore only be regarded as approximate. For this reason, the method relies on simple calculations, making it unnecessary to employ high-performance computing equipment.
A simulation of the temperature distribution of propellant gases along the barrel, between the chamber and the moving projectile, was carried out using a model system similar to the 2A38 artillery system. The possibility of varying the extent of the Boudouard–Bell reaction zone (the soot formation zone) depending on the initial parameters is demonstrated. The use of both fresh and degraded propellant charges was modeled. Full and reduced charges were considered. The simulation results reveal the cause of possible initiation of a secondary muzzle flash, both from the frontal side and from the side of the muzzle brake.
References
Brunetkin, O., Maksymov, M., Brunetkin, V., Maksymov, О., Dobrynin, Y., Kuzmenko, V., Gultsov, P. (2021). Development of the model and the method for determining the influence of the temperature of gunpowder gases in the gun barrel for explaining visualize of free carbon at shot. Eastern-European Journal of Enterprise Technologies, 4 (1 (112)), 41–53. https://doi.org/10.15587/1729-4061.2021.239150
Jensen, T. L., Moxnes, J. F., Unneberg, E., Dullum, O. (2014). Calculation of Decomposition Products from Components of Gunpowder by using ReaxFF Reactive Force Field Molecular Dynamics and Thermodynamic Calculations of Equilibrium Composition. Propellants, Explosives, Pyrotechnics, 39 (6), 830–837. https://doi.org/10.1002/prep.201300198
Pantea, D., Brochu, S., Thiboutot, S., Ampleman, G., Scholz, G. (2006). A morphological investigation of soot produced by the detonation of munitions. Chemosphere, 65 (5), 821–831. https://doi.org/10.1016/j.chemosphere.2006.03.027
Podlesak, D. W., Huber, R. C., Amato, R. S., Dattelbaum, D. M., Firestone, M. A., Gustavsen, R. L. et al. (2017). Characterization of detonation soot produced during steady and overdriven conditions for three high explosive formulations. AIP Conference Proceedings, 1793, 030006. https://doi.org/10.1063/1.4971464
Yan, C., Zhu, C. (2023). Quantitative assessment method of muzzle flash and smoke at high noise level on field environment. Scientific Reports, 13 (1). https://doi.org/10.1038/s41598-023-27722-0
Muthurajan, H., Ghee, H. (2008). Software Development for the Detonation Product Analysis of High Energetic Materials – Part I. Central European Journal of Energetic Materials. 5 (3-4), 19–35. Available at: https://www.researchgate.net/publication/228786423_Software_Development_for_the_Detonation_Product_Analysis_of_High_Energetic_Materials-Part_I
Li, P., Zhang, X. (2021). Numerical research on adverse effect of muzzle flow formed by muzzle brake considering secondary combustion. Defence Technology, 17 (4), 1178–1189. https://doi.org/10.1016/j.dt.2020.06.019
Rashad, M., Zhang, X., El Sadek, H. (2014). Interior Ballistic Two-Phase Flow Model of Guided-Projectile Gun System Utilizing Stick Propellant Charge. Propellants, Explosives, Pyrotechnics, 39. https://doi.org/10.1002/prep.201400034
Otón-Martínez, R. A., Velasco, F. J. S., Nicolás-Pérez, F., García-Cascales, J. R., Mur-Sanz de Galdeano, R. (2021). Three-Dimensional Numerical Modeling of Internal Ballistics for Solid Propellant Combinations. Mathematics, 9 (21), 2714. https://doi.org/10.3390/math9212714
Kozlov, O., Maksymov, O., Maksymov, M., Riaboshapka, R. (2025). Fuzzy Control Model with Automated Rule Base Generation for Artillery Systems in Game Simulators. Energy Engineering and Control Systems, 11 (2), 157–168. https://doi.org/10.23939/jeecs2025.02.157
Paraschiv, T., Tiganescu, T. V., Iorga, G. O., Ginghina, R. E., Grigoroiu, O. C. (2020). Experimental and Theoretical Study on Three Combustion Models for the Determination of the Performance Parameters of Nitrocellulose – Based Propellants. Revista de Chimie, 71 (9), 87–97. https://doi.org/10.37358/rc.20.9.8320
Brunetkin, O., Maksymov, M., Dobrynin, Y., Demydenko, V., Sidelnykov, O. (2024). Development of a process model for determining the composition and energy characteristics of a pyrotechnic mixture using the library method. EUREKA: Physics and Engineering, 5, 99–112. https://doi.org/10.21303/2461-4262.2024.003453
Brunetkin, O., Davydov, V., Butenko, O., Lysiuk, G., Bondarenko, A. (2019). Determining the composition of burned gas using the method of constraints as a problem of model interpretation. Eastern-European Journal of Enterprise Technologies, 3 (6 (99)), 22–30. https://doi.org/10.15587/1729-4061.2019.169219
Anipko, O. B., Khaykov, V. L. (2012). Methods analysis for assessment of propellant charges as a part of the artillery ammunition monitoring system. Integrirovannye tekhnologii i energosberezhenie, 3, 60–71. Available at: http://repository.kpi.kharkov.ua/handle/KhPI-Press/2199
Brunetkin, O., Maksymov, M. V., Maksymenko, A., Maksymov, M. M. (2019). Development of the unified model for identification of composition of products from incineration, gasification, and slow pyrolysis. Eastern-European Journal of Enterprise Technologies, 4 (6 (100)), 25–31. https://doi.org/10.15587/1729-4061.2019.176422
Rusyak, I. G., Tenenev, V. A. (2020). Modeling of ballistics of an artillery shot taking into account the spatial distribution of parameters and backpressure. Computer Research and Modeling, 12 (5), 1123–1147. https://doi.org/10.20537/2076-7633-2020-12-5-1123-1147


