This study numerically analyzes the characteristics of shock wave propagation and attenuation in different mediums of explosion near the air-water interface (free surface). This study discussed flow physics like shock wave propagation, reflection, transmission, and cavitation qualitatively and quantitatively. The numerical simulation is carried out with air, water, and TNT (Tri Nitro Toluene), which were modeled using the ideal gas, Mie-Gruneisen (shock), and Jones-Wilkins-Lee (JWL) equation of state, respectively. The Coupled Eulerian-Lagrangian model is employed. In an explosion above the air-water interface, the shock wave propagates and reaches the free surface. Due to the acoustic impedance of water, the incident shock wave reflects, and part of the shock wave is transmitted into the water. The acoustic impedance of water is much higher than that of air, so this free surface acts like a solid wall. On the other hand, in an explosion below the interface, the incident shock wave reaches the free surface and the shock wave reflects as an expansion wave, resulting in cavitation. In an explosion at the free surface, shock wave propagates in both air and water; the propagation and attenuation of shock wave were studied. Hence, the free surface near the medium of explosion plays a significant role in the characteristics of shock propagation and attenuation effects.
References
[1]
Needham, C.E. (2010) Blast Waves. Springer.
[2]
Liu, T.G., Khoo, B.C., Yeo, K.S. and Wang, C. (2003) Underwater Shock‐Free Surface-Structure Interaction. InternationalJournalforNumericalMethodsinEngineering, 58, 609-630. https://doi.org/10.1002/nme.791
[3]
Molyneaux, T.C.K., Li, L. and Firth, N. (1994) Numerical Simulation of Underwater Explosions. Computers&Fluids, 23, 903-911. https://doi.org/10.1016/0045-7930(94)90060-4
[4]
Wu, W., Liu, Y., Zhang, A., Liu, N. and Liu, L. (2020) Numerical Investigation on Underwater Explosion Cavitation Characteristics Near Water Wave. OceanEngineering, 205, Article 107321. https://doi.org/10.1016/j.oceaneng.2020.107321
[5]
Xiao, W., Wei, H. and Feng, L. (2017) Investigation on the Cavitation Effect of Underwater Shock Near Different Boundaries. ChinaOceanEngineering, 31, 396-407. https://doi.org/10.1007/s13344-017-0046-x
[6]
Daramizadeh, A. and Ansari, M.R. (2015) Numerical Simulation of Underwater Explosion Near Air-Water Free Surface Using a Five-Equation Reduced Model. OceanEngineering, 110, 25-35. https://doi.org/10.1016/j.oceaneng.2015.10.003
[7]
Cui, P., Zhang, A.M. and Wang, S.P. (2016) Small-Charge Underwater Explosion Bubble Experiments under Various Boundary Conditions. PhysicsofFluids, 28, Article 117103. https://doi.org/10.1063/1.4967700
[8]
Nguyen, V., Phan, T., Duy, T. and Park, W. (2021) Numerical Modeling for Compressible Two-Phase Flows and Application to Near-Field Underwater Explosions. Computers&Fluids, 215, Article 104805. https://doi.org/10.1016/j.compfluid.2020.104805
[9]
Phan, T., Nguyen, V. and Park, W. (2019) Numerical Study on Dynamics of an Underwater Explosion Bubble Based on Compressible Homogeneous Mixture Model. Computers&Fluids, 191, Article 104262. https://doi.org/10.1016/j.compfluid.2019.104262
[10]
Cole, R.H. (1948) Underwater Explosions. Princeton University Press. https://doi.org/10.5962/bhl.title.48411
[11]
Kedrinskii, V.K. (1976) Negative Pressure Profile in Cavitation Zone at Underwater Explosion Near Free Surface. ActaAstronautica, 3, 623-632. https://doi.org/10.1016/0094-5765(76)90166-1
[12]
Wang, G., Zhang, S., Yu, M., Li, H. and Kong, Y. (2014) Investigation of the Shock Wave Propagation Characteristics and Cavitation Effects of Underwater Explosion Near Boundaries. AppliedOceanResearch, 46, 40-53. https://doi.org/10.1016/j.apor.2014.02.003
[13]
Rajendran, R. and Lee, J.M. (2009) Blast Loaded Plates. MarineStructures, 22, 99-127. https://doi.org/10.1016/j.marstruc.2008.04.001
[14]
Librescu, L., Oh, S. and Hohe, J. (2006) Dynamic Response of Anisotropic Sandwich Flat Panels to Underwater and In-Air Explosions. InternationalJournalofSolidsandStructures, 43, 3794-3816. https://doi.org/10.1016/j.ijsolstr.2005.03.052
[15]
Rajasekar, J., Kim, T.H. and Kim, H.D. (2020) Visualization of Shock Wave Propagation Due to Underwater Explosion. JournalofVisualization, 23, 825-837. https://doi.org/10.1007/s12650-020-00664-9
[16]
Worthington, A.M. and Cole, R.S. (1900) Impact with a Liquid Surface Studied by the Aid of Instantaneous Photography. Paper II. Philosophical Transactions of the Royal Society A, 194, 175-199. https://doi.org/10.1098/rsta.1900.0016
[17]
Baer, M.R. (1992) A Numerical Study of Shock Wave Reflections on Low Density Foam. ShockWaves, 2, 121-124. https://doi.org/10.1007/bf01415901
[18]
Ben-Dor, G. (1992) Shock Wave Reflection Phenomena. Springer. https://doi.org/10.1007/978-1-4757-4279-4
[19]
Henderson, L.F. (1989) On the Refraction of Shock Waves. JournalofFluidMechanics, 198, 365-386. https://doi.org/10.1017/s0022112089000170
[20]
Sembian, S., Liverts, M., Tillmark, N. and Apazidis, N. (2016) Plane Shock Wave Interaction with a Cylindrical Water Column. PhysicsofFluids, 28, Article 056102. https://doi.org/10.1063/1.4948274
[21]
Aune, V., Fagerholt, E., Hauge, K.O., Langseth, M. and Børvik, T. (2016) Experimental Study on the Response of Thin Aluminium and Steel Plates Subjected to Airblast Loading. InternationalJournalofImpactEngineering, 90, 106-121. https://doi.org/10.1016/j.ijimpeng.2015.11.017
[22]
Rajasekar, J., Yaga, M. and Kim, H.D. (2022) Numerical Prediction on the Mitigation of Shock Wave Using Geometric Barriers. JournalofVisualization, 26, 83-96. https://doi.org/10.1007/s12650-022-00866-3
[23]
Bakken, J., Slungaard, T., Engebretsen, T. and Christensen, S.O. (2003) Attenuation of Shock Waves by Granular Filters. ShockWaves, 13, 33-40. https://doi.org/10.1007/s00193-003-0180-7
[24]
Ye, M., Ma, H. and Ni, Q. (2017) Research on a Sudden Explosion and Its Environmental Impact. IOPConferenceSeries: MaterialsScienceandEngineering, 275, Article 012022. https://doi.org/10.1088/1757-899x/275/1/012022
[25]
Cheng, M., Hung, K.C. and Chong, O.Y. (2005) Numerical Study of Water Mitigation Effects on Blast Wave. ShockWaves, 14, 217-223. https://doi.org/10.1007/s00193-005-0267-4
[26]
Liu, T.G., Khoo, B.C. and Yeo, K.S. (1999) The Numerical Simulations of Explosion and Implosion in Air: Use of a Modified Harten’s TVD Scheme. InternationalJournalforNumericalMethodsinFluids, 31, 661-680. https://doi.org/10.1002/(sici)1097-0363(19991030)31:4<661::aid-fld866>3.0.co;2-g
[27]
Liu, H., Zhou, B., Han, X., Zhang, T., Zhou, B. and Gho, W.M. (2020) Numerical Simulation of Water Entry of an Inclined Cylinder. OceanEngineering, 215, Article 107908. https://doi.org/10.1016/j.oceaneng.2020.107908
[28]
Benusiglio, A., Quéré, D. and Clanet, C. (2014) Explosions at the Water Surface. JournalofFluidMechanics, 752, 123-139. https://doi.org/10.1017/jfm.2014.255
[29]
Turkyilmazoglu, M. (2016) Air Blast Response of Compaction Foam Having a Deformable Front Face Panel Incorporating Fluid Structure Interactions. InternationalJournalofMechanicalSciences, 105, 340-347. https://doi.org/10.1016/j.ijmecsci.2015.11.010
[30]
Turkyilmazoglu, M. (2022) Maximum Wave Run-Up over Beaches of Convex/Concave Bottom Profiles. ContinentalShelfResearch, 232, Article 104610. https://doi.org/10.1016/j.csr.2021.104610
[31]
Li, T., Wang, S., Li, S. and Zhang, A. (2018) Numerical Investigation of an Underwater Explosion Bubble Based on FVM and VOF. AppliedOceanResearch, 74, 49-58. https://doi.org/10.1016/j.apor.2018.02.024
[32]
Jaiswal, A. (2011) ANSYS ® Explicit Dynamics and AUTODYN® Applications. ANSYS Inc.