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WANG Tianzhao, SUN Yuanxiang, CHEN Yanwu. Theoretical study of bubble pulsation characteristics in underwater contact explosions[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0092
Citation: WANG Tianzhao, SUN Yuanxiang, CHEN Yanwu. Theoretical study of bubble pulsation characteristics in underwater contact explosions[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0092

Theoretical study of bubble pulsation characteristics in underwater contact explosions

doi: 10.11883/bzycj-2025-0092
  • Received Date: 2025-03-24
  • Rev Recd Date: 2025-06-04
  • Available Online: 2025-06-06
  • Contact explosion is an important condition in the damage and protection of underwater structures, and the pulsating bubbles generated by explosive underwater explosion are an important damage source. The current research on underwater explosion bubbles mainly focuses on the pulsating characteristics of spherical bubbles under free-field and typical boundary conditions, while there is a notable lack of research on non-spherical bubbles under contact explosion conditions. The pulsation characteristics of underwater contact explosion bubbles were systematically investigated through theoretical modeling, numerical simulations, and experiments. To address the theoretical gap in contact explosion dynamics, a hemispherical bubble dynamics model under rigid wall contact conditions was established based on incompressible and inviscid fluid assumptions. By comparing present model with the spherical bubble pulsation model in an incompressible flow field, quantitative relationships between parameters such as the maximum bubble radius, initial radius, pulsation period were obtained. Theoretical analysis reveals that the maximum radius, initial radius, and pulsation period of contact explosion bubbles are 1.26 (theoretical scaling factor) times those of free-field conditions. An error analysis was conducted to account for factors such as fluid compressibility, unstable bubble deformation, and energy dissipation induced by bubble-rigid wall interactions. Numerical simulations using LS-DYNA for underwater explosions with 0.3 g, 0.233 g, and 5 g TNT charges under varying water depths reveal that the scaling factors for maximum radius and pulsation period under contact explosion conditions range from 1.22 to 1.24 and 1.20 to 1.21 times those of free-field results, respectively, with simulation errors below 5% compared to theoretical predictions. Experimental validation in a water tank shows that the maximum radius and period of contact explosion bubbles are 1.10 and 1.06 times those of free-field conditions. During the experiments, plate vibrations were observed upon explosion, which significantly contributed to experimental errors. This work addresses the theoretical gap in contact explosion bubble dynamics, enhances the understanding of boundary effects in underwater explosion phenomena.
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  • [1]
    LAMB H. The early stages of a submarine explosion[J]. The London, Edinburg and Dublin Philosophical Magazine and Journal of Science, 1923: 257–265. DOI: 10.1080/14786442308634111.
    [2]
    RAYLEIGH L. On the pressure developed in a liquid during the collapse of a spherical[J]. The London, Edinburg and Dublin Philosophical Magazine and Journal of Science, 1917: 94–98. DOI: 10.1080/14786440808635681.
    [3]
    KELLER J and KOLODNER I I. Damping of underwater explosion bubble oscillations [J]. Journal of Apply Physics, 1956, 27: 1152. DOI: 10.1063/1.1722221.
    [4]
    KELLER J and MIKSIS M. Bubble oscillations of large amplitude [J]. Journal of the Acoustical Society of American, 1980, 68: 628. DOI: 10.1121/1.384720.
    [5]
    PROSPERETTI A, LEZZI A. Bubble dynamics in a compressible liquid. Part 1. First-order theory[J]. Journal of Fluid Mechanics , 1986: 457–478. DOI: 10.1017/S0022112086000460.
    [6]
    LEZZI A, PROSPERETTI A. Bubble dynamics in a compressible liquid. Part 2. Second-order theory [J]. J. Fluid Mech., 1987, 185: 289–321. DOI: 10.1017/S0022112087003185.
    [7]
    GEERS T L. Transient response analysis of complex submerged structures [J]. J. Acoust. Soc. Am., 1974, 55(S1): 26–26. DOI: 10.1121/1.1919626.
    [8]
    GEERS T L and HUNTER K S. An integrated wave-effects model for an underwater explosion bubble [J]. The Journal of the Acoustical Society of America, 2002, 111(4): 1584–1601. DOI: 10.1121/1.1458590.
    [9]
    GEERS T L. Residual Potential and Approximate Methods for Three-Dimensional Fluid-Structure Interaction Problems [J]. The Journal of the Acoustical Society of America, 1971, 49(5B): 1505–1510. DOI: 10.1121/1.1912526.
    [10]
    COLE R H. Underwater Explosions. Princeton[M], NJ: Princeton University Press, 1948.
    [11]
    HUNTER K S, GEERS T L. Pressure and velocity fields produced by an underwater explosion [J]. The Journal of the Acoustical Society of America, 2004, 115(4): 1483–1496. DOI: 10.1121/1.1648680.
    [12]
    VERNON T A. Whipping Response of Ship Hulls from Underwater Explosion Bubble Loading[R]. 1986.
    [13]
    ZHANG A M, Li S M, Cui P, et al. A unified theory for bubble dynamics [J]. Physics of Fluids, 2023, 35(3): 033323. DOI: 10.1063/5.0145415.
    [14]
    ZHANG A M, LI S M, XU R Z, et al. A theoretical model for compressible bubble dynamics considering phase transition and migration [J]. Journal of Fluid Mechanics, 2024, 999: A58. DOI: 10.1017/jfm.2024.954.
    [15]
    周霖, 谢中元, 陈勇. 炸药水下爆炸气泡脉动周期工程计算方法 [J]. 兵工学报, 2009, 30(9): 1202–1205. DOI: 10.3321/j.issn:1000-1093.2009.09.010.

    ZHOU L, XIE Z Y, CHEN Y. Engineering calculation method of bubble pulsation period for underwater explosion of explosives [J]. Acta Armamentarii, 2009, 30(9): 1202–1205. DOI: 10.3321/j.issn:1000-1093.2009.09.010.
    [16]
    王树山, 梁策, 高源, 等. 深水爆炸二次压力波超压峰值的工程模型 [J]. 兵工学报, 2022, 43(10): 2508–2516. DOI: 10.12382/bgxb.2021.0560.

    WANG S S, LIANG C, GAO Y, et al. Engineering model of overpressure peak of secondary pressure wave in deep water explosion [J]. Acta Armamentarii, 2022, 43(10): 2508–2516. DOI: 10.12382/bgxb.2021.0560.
    [17]
    蒋宏杰, 卢文波, 王高辉, 等. 大体积混凝土水下接触爆炸破坏分区特征分析 [J]. 爆炸与冲击, 2023, 43(10): 15–29. DOI: 10.11883/bzycj-2022-0415.

    JIANG H J, LU W B, WANG G H, et al. Analysis of damage zoning characteristics of mass concrete under underwater contact explosion [J]. Explosion and Shock Waves, 2023, 43(10): 15–29. DOI: 10.11883/bzycj-2022-0415.
    [18]
    苏怡然. 水下接触爆炸作用下双层防护结构瞬态动力分析方法研究[D]. 上海交通大学, 2013.

    SU Y R. Research on transient dynamic analysis method of double-layer protective structure under underwater contact explosion[D]. Shanghai: Shanghai Jiao Tong University, 2013.
    [19]
    徐维铮, 黄宇, 李业勋, 等. 水下爆炸近壁面流场局部空化形成机理 [J]. 爆炸与冲击, 2023, 43(3): 30–39. DOI: 10.11883/bzycj-2022-0075.

    XU W Z, HUANG Y, LI Y X, et al. Formation mechanism of local cavitation in near-wall flow field of underwater explosion [J]. Explosion and Shock Waves, 2023, 43(3): 30–39. DOI: 10.11883/bzycj-2022-0075.
    [20]
    盛振新, 刘建湖, 毛海斌, 等. 水下接触爆炸对舷侧空舱结构破坏载荷测试技术研究 [J]. 中国测试, 2018, 44(12): 6–11. DOI: 10.11857/j.issn.1674-5124.2018.12.002.

    SHENG Z X, LIU J H, MAO H B, et al. Research on damage load testing technology of bulkhead cabin structure under underwater contact explosion [J]. China Measurement & Test, 2018, 44(12): 6–11. DOI: 10.11857/j.issn.1674-5124.2018.12.002.
    [21]
    柴崧淋, 侯海量, 金键, 等. 水下接触爆炸下舷侧防雷舱吸能结构形式试验研究 [J]. 兵工学报, 2022, 43(6): 1395–1406. DOI: 10.12382/bgxb.2021.0328.

    CHAI S L, HOU H L, JIN J, et al. Experimental study on energy-absorbing structure form of anti-torpedo cabin under underwater contact explosion [J]. Acta Armamentarii, 2022, 43(6): 1395–1406. DOI: 10.12382/bgxb.2021.0328.
    [22]
    徐维铮, 赵宏涛, 李业勋, 等. 水下近距/接触爆炸加载下圆柱壳结构动态响应行为试验研究 [J]. 爆炸与冲击, 2023, 43(9): 209–219. DOI: 10.11883/bzycj-2023-0072.

    XU W Z, ZHAO H T, LI Y X, et al. Experimental study on dynamic response behavior of cylindrical shell structure under underwater close-contact explosion loading [J]. Explosion and Shock Waves, 2023, 43(9): 209–219. DOI: 10.11883/bzycj-2023-0072.
    [23]
    ZHOU Z T, LIU J H, WANG H K, et al. Experimental and numerical investigation on cavitation collapse reloading and bubble evolution for close-in and contact underwater explosion [J]. Ocean Engineering, 2024, 293: 116549. DOI: 10.1016/j.oceaneng.2023.116549.
    [24]
    BARRAS G, SOULI M, AQUELET N, et al. Numerical simulation of underwater explosions using an ALE method. the pulsating bubble phenomena [J]. Ocean Engineering, 2012, 41: 53–66. DOI: 10.1016/j.oceaneng.2011.12.015.
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