Investigation of Distribution Characteristics of Cylindrical Particles after the Rupture of Modular Cartridges in a Simulator Chamber

Document Type : Regular Article

Authors

School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu Province, 210094, China

10.47176/jafm.17.05.2270

Abstract

Modular charging is an advanced technique designed to meet the requirements of auto-loading artillery, whereby granular propellants are stored within modular cartridges that are loaded into the gun chamber. This study employed an extended coupled computational fluid dynamics-discrete element method (CFD-DEM) approach to investigate the gas-particle flow within modular charges. After model validation, we analyzed the distribution characteristics, velocity, coordination number, and orientation of cylindrical pellets in a simulator chamber. Four different loading positions for modular cartridges were examined to assess their impact on particle distribution. Numerical simulations revealed a combination of gentle, horizontal, and steep slopes in the particle distribution. The maximum particle velocity experienced a rapid increase during the initial phase, followed by a zigzag decline after reaching its peak. High-coordination number particles tended to accumulate primarily in the middle layer of steep accumulation. Additionally, the particles exhibited an inverted V-shape orientation range from 0° to 180°, suggesting their tendency to assume upright positions. This established model significantly enhanced our understanding of particle distribution following module cartridge rupture and provided valuable guidance for optimizing the design of large-caliber artillery charges.

Keywords

Main Subjects


Atxutegi, A., Kieckhefen, P., Pietsch, S., Aguado, R., Olazar, M., & Heinrich, S. (2021). Unresolved CFD-DEM simulation of spherical and ellipsoidal particles in conical and prismatic spouted beds. Powder Technology, 389, 493-506. https://doi.org/10.1016/j.powtec.2021.05.012
Briand, M. R., Tissier, M. P. Y., & Reynaud, M. C. (1992, 1-3 June). Theoretical modeling of ballistics processes of modular charges for large caliber guns. 13th International Symposium on Ballistics, Stockholm, Sweden.
Chen, A., & Yu, Y. (2022). CFD-DEM simulation on the complex gas-solid flow in a closed chamber with particle groups. Journal of Mechanical Science and Technology, 36(11), 5523-5535. https://doi.org/10.1007/s12206-022-1017-6
Chen, A., & Yu, Y. (2023). Investigation of particle distribution after the energetic module broken in the ignition process of gun. Case Studies in Thermal Engineering, 41, 102619. https://doi.org/10.1016/j.csite.2022.102619
Chen, L., Sun, Z., Ma, H., Pan, G., Li, P., & Gao, K. (2022). Flow characteristics of pneumatic conveying of stiff shotcrete based on CFD-DEM method. Powder Technology, 397, 117109. https://doi.org/10.1016/j.powtec.2022.117109
Cheng, C., & Zhang, X. (2013). Modeling of interior ballistic gas-solid flow using a coupled computational fluid dynamics-discrete element method. Journal of Applied Mechanics, 80(3), 314031-314036. https://doi.org/10.1115/1.4023313
Cundall, P. A., & Strack, O. D. L. (1979). A discrete numerical model for granular assemblies. Géotechnique, 1(29), 47-65. https://doi.org/10.1680/geot.1979.29.1.47
Gao, X., Yu, J., Portal, R. J., Dietiker, J. F., Shahnam, M.,& Rogers, W. A. (2022). Development and validation of SuperDEM for non-spherical particulate systems using a superquadric particle method. Particuology, 61, 74-90. https://doi.org/10.1016/j.partic.2020.11.007
Haider, A., & Levenspiel, O. (1989). Drag coefficient and terminal velocity of spherical and nonspherical particles. Powder Technology, 58(1), 63-70. https://doi.org/10.1016/0032-5910(89)80008-7
Hertz H. (1882) Über die Berührung fester elastischer Körper (On the contact of elastic solids). Journal fur die Reine und Angewandte Mathematik, 92, 156-171. https://doi.org/10.1515/crll.1882.92.156
Höhner, D., Wirtz, S., & Scherer, V. (2012). A numerical study on the influence of particle shape on hopper discharge within the polyhedral and multi-sphere discrete element method. Powder Technology, 226, 16-28. https://doi.org/10.1016/j.powtec.2012.03.041
Lei, X., Liao, Y., Zhang, Q., Wang, L., & Liao, Q. (2018). Numerical simulation of seed motion characteristics of distribution head for rapeseed and wheat. Computers and Electronics in Agriculture, 150, 98-109. https://doi.org/10.1016/j.compag.2018.04.009
Li, S., Zhao, P., Xu, J., Zhang, L., & Wang, J. (2022). CFD-DEM simulation of polydisperse gas-solid flow of Geldart A particles in bubbling micro-fluidized beds. Chemical Engineering Science, 253, 117551. https://doi.org/10.1016/j.ces.2022.117551
Liu, X., Gan, J., Zhong, W., & Yu, A. (2020). Particle shape effects on dynamic behaviors in a spouted bed: CFD-DEM study. Powder Technology, 361, 349-362. https://doi.org/10.1016/j.powtec.2019.07.099
Liu, X., Zhong, W., Jiang, X., & Jin, B. (2015). Spouting behaviors of binary mixtures of cylindroid and spherical particles. AIChE Journal, 61(1), 58-67. https://doi.org/10.1002/aic.14636
Lu, Z., Zhou, Y., & Wang, Y. (1999). Two phase flow interior ballistic simulation of the short-barrel gun with modular charges. Journal of Nanjing University of Science and Technology, 23(2), 105-108. https://doi.org/10.3969/j.issn.10059830.1999.02.003
Lu, Z., & Zhou, Y. (1999). Two-phase-combustion model and numerical simulation of pressure wave in the gun with modular charges. Explosion and Shock Waves, 19(3), 269-273. https://doi.org/10.3321/j.issn:1001-1455.1999.03.013
Lu, Z., & Zhou, Y. (2001). Two-dimensional two-phase flow numerical simulation of interior ballistic processes in a gun with modular charges. Acta Armamentarii, 22(3), 298-301. https://doi.org /10.3321/j.issn:1000-1093.2001.03.003
Ma, H., & Zhao, Y. (2018a). CFD-DEM investigation of the fluidization of binary mixtures containing rod-like particles and spherical particles in a fluidized bed. Powder Technology, 336, 533-545. https://doi.org/10.1016/j.powtec.2018.06.034
Ma, H., & Zhao, Y. (2018b). Investigating the flow of rod-like particles in a horizontal rotating drum using DEM simulation. Granular Matter, 20, 1-15. https://doi.org/10.1007/s10035-018-0823-0
Manda, U., & Mazumdar, S. (2023a). Effects of buoyancy in a horizontal microchannel in a laminar flow of supercritical carbon dioxide (sCO2) at different gravities. SSRN. http://dx.doi.org/10.2139/ssrn. 4591011
Manda, U., & Mazumdar, S. (2023b). Effect of cross-sectional shape on flow and heat transfer characteristics of the laminar flow of supercritical carbon dioxide (sCO2) inside horizontal microchannels. SSRN. http://dx.doi.org/10.2139/ ssrn.4596518
Manda, U., Parahovnik, A., & Peles, Y. (2020). Theoretical investigation of boundary layer behavior and heat transfer of supercritical carbon dioxide (sCO2) in a Microchannel. 19th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm), Orlando, FL, USA. http://doi.org/10.1109/ ITherm45881.2020.9190408
Manda, U., Parahovnik, A., & Peles, Y. (2022). Thermoacoustic waves and piston effect inside a microchannel with carbon dioxide near critical conditions. Thermal Science and Engineering Progress, 36, 101528. https://doi.org/10.1016/j.tsep. 2022.101528
Manda, U., Parahovnik, A., Mazumdar, S., & Peles, Y. (2023). Heat transfer characteristics of turbulent flow of supercritical carbon dioxide (sCO2) in a short-heated microchannel. International Journal of Thermal Sciences, 192, 108389. https://doi.org/ 10.1016/j.ijthermalsci.2023.108389
Manda, U., Peles, Y., & Putnam, S. (2021). Comparison of heat transfer characteristics of flow of supercritical carbon dioxide and water inside a square microchannel. 20th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (iTherm), San Diego, CA, USA. http://doi.org/10.1109/ITherm 51669.2021.9503192
Mindlin, R. D. (1949). Compliance of elastic bodies in contact. Journal of Applied Mechanics, 16, 259-268. https://doi.org/10.1115/1.4009973
Mindlin, R. D. & Deresiewicz, H. (1953). Elastic spheres in contact under varying oblique force. ASME, Journal of Applied Mechanics, 20, 327-344. https://doi.org/10.1115/1.4010702
Nan, W., Wang, Y., Ge, Y., & Wang, J. (2014). Effect of shape parameters of fiber on the packing structure. Powder Technology, 261, 210-218. https://doi.org/10.1016/j.powtec.2014.04.048
Norouzi, H. R., Zarghami, R., Sotudeh-Gharebagh, R., & Mostoufi, N. (2016). Coupled CFD-DEM modeling: formulation, implementation and application to multiphase flows. John Wiley & Sons.
Oschmann, T., Hold, J., & Kruggel-Emden, H. (2014). Numerical investigation of mixing and orientation of non-spherical particles in a model type fluidized bed. Powder Technology, 258, 304-323. https://doi.org/10.1016/j.powtec.2014.03.046
Oschmann, T., Vollmari, K., Kruggel-Emden, H., & Wirtz, S. (2015). Numerical investigation of the mixing of non-spherical particles in fluidized beds and during pneumatic conveying. Procedia Engineering, 102, 976-985. https://doi.org/10.1016/j.proeng.2015.01.220
Ren, B., Zhong, W., Jiang, X., Jin, B., & Yuan, Z. (2014). Numerical simulation of spouting of cylindroid particles in a spouted bed. The Canadian Journal of Chemical Engineering, 92(5), 928-934. https://doi.org/10.1002/cjce.21900
Shao, Y., Zhong, W., Chen, X., Chen, Y., & Jin, B. (2014). Spouting of non-spherical particles in conical-cylindrical spouted bed. The Canadian Journal of Chemical Engineering, 92(4), 742-746. https://doi.org/10.1002/cjce.21888
Sheu, T. W. H., & Lee, S. M. (1995). Analysis of combustion processes in a gun interior ballistics. International Journal of Computational Fluid Dynamics, 4(1-2), 57-71. https://doi.org/10.1080/ 10618569508904518
Soltanbeigi, B., Podlozhnyuk, A., Papanicolopulos, S. A., Kloss, C., Pirker, S., & Ooi, J. Y. (2018). DEM study of mechanical characteristics of multi-spherical and superquadric particles at micro and macro scales. Powder Technology, 329, 288-303. https://doi.org/10.1016/j.powtec.2018.01.082
Tao, H., Jin, B., Zhong, W., Wang, X., Ren, B., Zhang, Y., & Xiao, R. (2010). Discrete element method modeling of non-spherical granular flow in rectangular hopper. Chemical Engineering and Processing: Process Intensification, 49(2), 151-158. https://doi.org/10.1016/j.cep.2010.01.006
Tsuji, Y., Tanaka, T., & Ishida, T. (1992). Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technology, 71(3), 239-250. https://doi.org/10.1016/0032-5910(92)88030-L
Wang, T., Gao, Q., Deng, A., Tang, T., & He, Y. (2021). Numerical and experimental investigations of instability in a spouted bed with non-spherical particles. Powder Technology, 379, 231-240. https://doi.org/10.1016/j.powtec.2020.10.032
Wang, T., He, Y., Tang, T., & Zhao, Y. (2016). Numerical investigation on particle behavior in a bubbling fluidized bed with non-spherical particles using discrete hard sphere method. Powder Technology, 301, 927-939. https://doi.org/10.1016/j.powtec. 2016.07.005
Wei, G., Zhang, H., An, X., Xiong, B., & Jiang, S. (2019). CFD-DEM study on heat transfer characteristics and microstructure of the blast furnace raceway with ellipsoidal particles. Powder Technology, 346, 350-362. https://doi.org/10.1016/j.powtec.2019.02.022
Zhao, H., An, X., Gou, D., Zhao, B., & Yang, R. (2018). Attenuation of pressure dips underneath piles of spherocylinders. Soft Matter, 14(21), 4404-4410. https://doi.org/10.1039/C8SM00280K
Zhao, Y. (2003). Numerical simulation for ignition and flame-spreading of modular charge. Chinese Journal of Explosives & Propellants, 26(2), 32-35. https://doi.org/10.3969/j.issn.10077812.2003.02.012
Zhang, X. & Yuan, Y. (2016). Theories and applications of multiphase flow dynamics in high temperature and high pressure. Beijing Institute of Technology Press.
Zhou, L., Lv, W., Bai, L., Han, Y., Wang, J., Shi, W., & Huang, G. (2022). CFD-DEM study of gas-solid flow characteristics in a fluidized bed with different diameter of coarse particles. Energy Reports, 8, 2376-2388. https://doi.org/10.1016/j.egyr.2022.01.174