A Modelling Approach for the Analysis of Underwater Explosive Performance Trials
Corresponding Author
Andrew G. Milne
Fluid Gravity Engineering Ltd., The Old Coach House, 1 West Street, Emsworth, PO10 7DX
Search for more papers by this authorAlec M. Milne
Emitoption Ltd., 6 Yattendon Court Gardens, Yattendon, RG18 0UW
Search for more papers by this authorCorresponding Author
Andrew G. Milne
Fluid Gravity Engineering Ltd., The Old Coach House, 1 West Street, Emsworth, PO10 7DX
Search for more papers by this authorAlec M. Milne
Emitoption Ltd., 6 Yattendon Court Gardens, Yattendon, RG18 0UW
Search for more papers by this authorAbstract
We present here a coupled experimental and numerical modelling study to compare the underwater performance of different explosive charge types in simple geometries with a view to having confidence in the use of these models in the design of more complex warheads. Numerical modelling is used to predict the shock and bubble performance of underwater detonated charges and is intended to be used for comparison of the performance of different charge compositions. Model predictions are compared to experimental data from the underwater detonation of 1 kg cylindrical charges. It is shown that a simple 1D spherical geometry Eulerian hydrocode solution is suitable for comparison of the performance of different charge types provided that gauges are located on the radial axis of the charge and located a sufficient distance from the charge. Predictions using our chosen explosive models are shown to accurately capture the shock and bubble performance of ideal and non-ideal charges tested and the effects of charge casing so that these models can be used in more complex warhead design studies at a later date.
Open Research
Data Availability Statement
Research data are not shared.
References
- 1R. H. Cole, Underwater Explosions, Princeton University Press, New Jersey 1948.
10.5962/bhl.title.48411 Google Scholar
- 2M. Swisdak, Explosion effects and properties: part II - explosion effects in water, Naval Surface Weapons Center, Silver Spring, USA 1978.
10.21236/ADA056694 Google Scholar
- 3L. D. Santiago, Fluid interaction and cavitation effects on a surface ship model due to an underwater explosion, Thesis, Naval Postgraduate School, Monterey, USA 1996.
- 4N. A. Schneider, Prediction of surface ship response to severe underwater explosions using a virtual underwater shock environment, Thesis, Naval Postgraduate School, Monterey, USA, 2003.
- 5F. A. Costanzo, Underwater explosion phenomena and shock physics, Structural Dynamics, Volume 3, Springer, New York, 2011, 917–938.
- 6B. Y. Ni, A. M. Zhang, G. X. Wu, Numerical and experimental study of bubble impact on a solid wall, J. Fluids Eng. 2015, 137(3).
- 7S. P. Wang, A. M. Zhang, Y. L. Liu, S. Zhang, P. Cui, Bubble dynamics and its applications, Journal of Hydrodynamics 2018, 30(6), 975–991.
- 8J. M. Brett, G. Yiannakopolous, A study of explosive effects in close proximity to a submerged cylinder, International Journal of Impact Engineering 2008, 35(4), 206–225.
- 9P. W. Cooper, Explosives Engineering, Wiley-VCH, New York, 1996.
- 10C. L. Mader, Numerical Modeling of Explosives and Propellants. Third Edition., CRC Press, 2007.
- 11F. Xiao, W. Gao, J. Li, R. Yang, Effect of the aluminium particle size, solid content, and aluminium/oxygen ratio on the underwater explosion performance of aluminium-based explosives, Combust., Explos. Shock Waves 2020, 56(5), 576–584.
- 12D. Xiang, J. Rong, X. He, Z. Feng, Underwater explosion performance of RDX/AP-based aluminized explosives, Cent. Eur. J. Energ. Mater. 2017, 14(1), 60–76.
- 13J. Liu, F. J. An, C. Wu, S. S. Liao, M. X. Zhou, D.-y. Xue, The early responses of air-backed plate subject to underwater explosion with aluminized explosives, Def. Technol. 2020, 16, 642–650.
- 14G. Bocksteiner, Evaluation of underwater explosive performance of PBXW-115 (AUST), Defence Science and Technology Organisation, Canberra, Australia, 1996.
- 15P. Cui, A. M. Zhang, S. P. Wang, Small-charge underwater explosion bubble experiments under various boundary conditions, Phys. Fluids 2016, 28(11).
- 16Z. F. Zhang, C. Wang, L. K. Wang, A. M. Zhang, V. V. Silberschmidt, Underwater explosion of cylindrical charge near plates: Analysis of pressure characteristics and cavitation effects, International Journal of Impact Engineering 2018, 121, 91–105.
- 17M. Riley, M. Smith, J. E. van Aanhold, N. Alin, Loading on a rigid target from close proximity underwater explosions, Shock and Vibration 2012, 19(4), 555–571.
- 18M. He, A. M. Zhang, Y. L. Liu, Prolonged simulation of near-free surface underwater explosion based on Eulerian finite element method, Theor. Appl. Mech. Lett 2020, 10, 16–22.
- 19W. T. Liu, F. R. Ming, A. M. Zhang, X. H. Miao, Y. I. Liu, Continuous simulation of the whole process of underwater explosion based on Eulerian finite element approach, Applied Ocean Research 2018, 80, 125–135.
- 20T. C. K. Molyneaux, L. Y. Li, N. Firth, Numerical simulations of underwater explosions, 1994, Comp. Fluids, 23(7), 903–911.
- 21L. Hammond, Underwater shock wave characteristics of cylindrical charges, DSTO-GD-0029, Defence Science and Technology Organisation, Canberra, Australia, 1995.
- 22G. Bjarnholt, Suggestions on standards for measurement and data evaluation in the underwater explosion test, Propellants, Explos. Pyrotech. 1980, 5(2-3), 67–74.
10.1002/prep.19800050213 Google Scholar
- 23L. Liu, R. Guo, K. Gao, M.-C. Zeng, Full-field peak pressure prediction of shock waves from underwater explosion of cylindrical charges, Propellants, Explos. Pyrotech. 2017, 42(8), 912–920.
- 24F. Vannucchi de Camargo, Survey on Experimental and Numerical Approaches to Model Underwater Explosions, Journal of Marine Science and Engineering 2019, 7(1), 15.
- 25J. A. Zukas, Introduction to Hydrocodes, Elsevier Ltd, London, 2004.
- 26D. J. Benson, Computational methods in Lagrangian and Eulerian hydrocodes, Computer Methods in Applied mechanics and Engineering 1992, 99(2-3), 235–394.
- 27J. A. Zukas, W. P. Walters, Explosive Effects and Applications, Springer, New York, 1998.
10.1007/978-1-4612-0589-0 Google Scholar
- 28L. E. Fried, Cheetah 1.0 users manual, UCRL-MA-117541, Lawrence Livermore National Lab., USA, 1994.
10.2172/10165726 Google Scholar
- 29M. R. Baer, J. W. Nunziato, A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular flow, Int. J. Multiphase Flow 1986, 12(6), 861–889.
- 30I. Glassman, R. A. Yetter, N. G. Glumac, Combustion, Fifth Edition, Academic Press, 2014.
- 31A. M. Milne, Modelling of a suite of aluminised explosives experiments, 14th International Detonation Symposium, Idaho, 2010.
- 32R. A. Yetter, G. A. Risha, R. F. Son, Metal particle combustion and nanotechnology, Proc. Combust. Inst. 2009, 32(2), 1819–38.
10.1016/j.proci.2008.08.013 Google Scholar
- 33M. L. Wilkins, Computer Simulation of Dynamic Phenomena, Springer Science, 2013.
- 34G. R. Gathers, Selected Topics in Shock Wave Physics and Equation of State Modelling, World Scientific Publishing Co., 1994.
- 35F. H. Ree, Equation of State of Water, UCRL-52190, Lawrence Livermore Laboratory, USA, 1976.
10.2172/7223228 Google Scholar
- 36S. P. Robinson, L. Wang, S.-H. Cheong, P. A. Lepper, F. Marubini, J. P. Harley, Underwater acoustic characterisation of unexploded ordance disposal using deflagration, Mar. Pollut. Bull. 2020, 160.
- 37C. Huang, M. Liu, B. Wang, Y. Zhang, Underwater explosion of slender explosives: directional effects of shock waves and structure responses, IJENGE 2019, 130, 266–280.
- 38E. M. Fisher, The Effect of the Steel Case on the Air Blast from High Explosives, U. S. Naval Ordnance Laboratory, NAVORD Report 2753, White Oak, MD, USA, 1953.
10.21236/AD0009708 Google Scholar
- 39U. Fano, Methods for Computing Data on the Terminal Ballistics of Bombs – II Estimation of the Air Blast, Army Ballistic Research Laboratory, Report BRL 524, Aberdeen Proving Ground, MD, USA, 1944.
- 40D. A. Jones, E. D. Northeast, Effects of case thickness on the performance of underwater mines, Defence Science and Technology Organisation, Canberra, Australia, 1995.
- 41S. Koli, P. Chellapandi, L. B. Rao, A. Sawant, Study on JWL equation of state for the numerical simulation of near-field and far-field effects in underwater explosion scenario, Engineering Science and Technology, an International Journal 2020, 23(4), 758–768.
- 42K. Takahashi, K. Murata, Y. Kato, Underwater shock enhancement by metal confinement, 13th International Symposium on Ballistics, Stockholm, Sweden, 1992.
- 43D. L. Xiang, J. L. Rong, J. Li, Effect of Al/O ratio on the detonation performance and underwater explosion of HMX based aluminized explosives, Propellants, Explos. Pyrotech. 2014, 39, 65–73.
- 44R. H. Guirguis, P. J. Miller, Time-dependent equations of state for aluminised underwater explosives, 10th Detonation Symposium Boston 1993, 675–682.
- 45W. A. Trzcinski, S. Cudzilo, L. Szymanczyk, Studies of detonation characteristics of aluminium enriched RDX compositions, Propellants, Explos., Pyrotech. 2007, 32(5), 392–400.
- 46Q. Pontalier, J. Loiseau, S. Goroshin, F. Zhang, D. L. Frost, Blast enhancement from metalized explosives, Shock Waves 2021, 31, 203–230.
- 47J. M. Peuker, H. Krier, N. Glumac, Particle size and gas environment effects on blast and overpressure enhancement in aluminized explosives, Proc. Combust. Inst. 2013, 34(2), 2205–2212.
- 48Y. Kato, K. Murata, S. Itoh, Detonation characteristics of packed beds of aluminium saturated with nitromethane, 13th International Detonation Symposium, Norfolk, VA, USA, 2006, 187–195.
- 49V. W. Manner, S. J. Pemberton, J. A. Gunderson, T. J. Herrera, J. M. Lloyd, P. J. Salazar, P. Rae, B. C. Tappan, The role of aluminium in the detonation and post-detonation expansion of selected cast HMX-based explosives, Propellants, Explos. Pyrotech. 2012, 37(2), 198–206.