水下爆炸气泡脉动周期的简便计算方法

段超伟 宋浦 胡宏伟 冯海云

段超伟, 宋浦, 胡宏伟, 冯海云. 水下爆炸气泡脉动周期的简便计算方法[J]. 高压物理学报, 2022, 36(1): 015101. doi: 10.11858/gywlxb.20210782
引用本文: 段超伟, 宋浦, 胡宏伟, 冯海云. 水下爆炸气泡脉动周期的简便计算方法[J]. 高压物理学报, 2022, 36(1): 015101. doi: 10.11858/gywlxb.20210782
DUAN Chaowei, SONG Pu, HU Hongwei, FENG Haiyun. Simple Method for the Calculation of Bubble Pulsation Period in Underwater Explosion[J]. Chinese Journal of High Pressure Physics, 2022, 36(1): 015101. doi: 10.11858/gywlxb.20210782
Citation: DUAN Chaowei, SONG Pu, HU Hongwei, FENG Haiyun. Simple Method for the Calculation of Bubble Pulsation Period in Underwater Explosion[J]. Chinese Journal of High Pressure Physics, 2022, 36(1): 015101. doi: 10.11858/gywlxb.20210782

水下爆炸气泡脉动周期的简便计算方法

doi: 10.11858/gywlxb.20210782
详细信息
    作者简介:

    段超伟(1996-),男,硕士研究生,主要从事水下爆炸技术研究. E-mail:1085692807@qq.com

    通讯作者:

    宋 浦(1973-),男,博士,研究员,主要从事战斗部毁伤技术研究. E-mail:songpu73@163.com

  • 中图分类号: O383.1; TJ610.1

Simple Method for the Calculation of Bubble Pulsation Period in Underwater Explosion

  • 摘要: 将爆轰产物状态方程与气泡运动方程相结合,提出了一种水下爆炸气泡脉动周期的数值计算方法,能够快速计算不同炸药水下爆炸的气泡脉动周期。结果表明:采用JWL状态方程与采用$\gamma$律状态方程的气泡周期计算方法相比,前者计算TNT炸药水下爆炸气泡脉动周期的误差更小,计算误差小于3%;通过对比RS211炸药水下爆炸实验结果,进一步验证了该数值计算方法对含铝炸药水下爆炸气泡脉动周期的计算同样具有良好的适用性。

     

  • 图  气泡示意图

    Figure  1.  Bubble sketch

    图  气泡半径变化曲线

    Figure  2.  Bubble radius curves

    图  两种状态方程的计算值与实测值的相对偏差曲线

    Figure  3.  Error curves between calculated values of the two state equations and the measured results

    表  1  TNT炸药的JWL状态方程参数[14]

    Table  1.   JWL equation of state parameters of TNT explosive[14]

    $A/$GPa$B/$GPa$ {R}_{1} $$ {R}_{2} $$\omega$${\,\rho }{_{0}} /$(kg·m−3)
    371.23.2314.4850.790.301580
    下载: 导出CSV

    表  2  不同药量TNT气泡周期实测值与计算值结果对比

    Table  2.   Comparison of the measured and calculated results of bubble pulsation period of TNT explosive

    m/g${T}{_{\rm s} }$/ms${T}{_{\rm b1}}$/ms$\delta{_1}$/%${T}{_{\rm b2}}$/ms$\delta{_2}$/%
    200145.19154.176.18149.943.27
    300166.13175.625.71170.782.92
    400182.85192.505.27188.172.91
    600210.00220.795.14215.692.71
    800231.97243.314.88237.602.43
    1000250.11261.334.48255.101.99
    下载: 导出CSV

    表  3  RS211炸药的JWL状态方程参数[16]

    Table  3.   JWL equation of state parameters of RS211 explosive[16]

    $A/$GPa$B/$GPa$ {R}_{1} $$ {R}_{2} $$ \omega $${\,\rho }{_{0} }/$(kg·m−3)
    7588.514.91.10.21630
    下载: 导出CSV

    表  4  RS211炸药水下爆炸气泡脉动周期计算和实验结果对比

    Table  4.   Comparison of calculated and experimental results of bubble pulsation period of RS211 explosive

    h/mm/g${T}{_{\rm s}}$/ms${T}{_{\rm b2} }$/ms$\delta$/%
    51076258.5262.41.51
    51067257.8261.71.51
    55000400.0409.82.45
    123000273.3269.1−1.54
    下载: 导出CSV
  • [1] COLE R H. Underwater explosion [M]. Princeton, NJ: Princeton University Press, 1948.
    [2] 姚熊亮, 刘文韬, 张阿漫, 等. 水下爆炸气泡及其对结构毁伤研究综述 [J]. 中国舰船研究, 2016, 11(1): 36–45. doi: 10.3969/j.issn.1673-3185.2016.01.006

    YAO X L, LIU W T, ZHANG A M, et al. Review of the research on underwater explosion bubbles and the corresponding structural damage [J]. Chinese Journal of Ship Research, 2016, 11(1): 36–45. doi: 10.3969/j.issn.1673-3185.2016.01.006
    [3] 姚熊亮, 汪玉, 张阿漫. 水下爆炸气泡动力学[M]. 哈尔滨: 哈尔滨工程大学出版社, 2012: 22−76.

    YAO X L, WANG Y, ZHANG A M. Underwater explosion bubble dynamics [M]. Harbin: Harbin Engineering University Press, 2012: 22−76.
    [4] 张阿漫, 汪玉, 闻雪友, 等. 水下爆炸气泡动态特性研究综述 [J]. 船舶力学, 2009, 13(5): 828–836. doi: 10.3969/j.issn.1007-7294.2009.05.022

    ZHANG A M, WANG Y, WEN X Y, et al. Review of the dynamics of the underwater explosion bubble [J]. Journal of Ship Mechanics, 2009, 13(5): 828–836. doi: 10.3969/j.issn.1007-7294.2009.05.022
    [5] 黄毅, 张弩. 水下爆炸气泡脉动载荷影响因素分析 [J]. 中国舰船研究, 2013, 8(6): 33–39.

    HUANG Y, ZHANG N. Analysis of the impact parameters of the bubble pulsation load in underwater explosion [J]. Chinese Journal of Ship Research, 2013, 8(6): 33–39.
    [6] 张姝红, 周华, 权琳, 等. 水下爆炸气泡脉动试验研究 [J]. 爆破, 2014, 31(1): 106–109. doi: 10.3963/j.issn.1001-487X.2014.01.025

    ZHANG S H, ZHOU H, QUAN L, et al. Experimental study for bubble impulsion in underwater explosion [J]. Blasting, 2014, 31(1): 106–109. doi: 10.3963/j.issn.1001-487X.2014.01.025
    [7] 李玉民, 倪芝芳. 水中爆炸气泡脉动流场的数值计算 [J]. 爆炸与冲击, 1996, 16(4): 377–381.

    LI Y M, NI Z F. Numerical calculation on flow field of the bubble pulse by explosion underwater [J]. Explosion and Shock Waves, 1996, 16(4): 377–381.
    [8] 张志江, 徐更光, 王廷增. 炸药水中爆炸气泡脉动分析计算 [J]. 爆破, 2007(1): 17–20. doi: 10.3963/j.issn.1001-487X.2007.01.005

    ZHANG Z J, XU G G, WANG T Z. Analysis and calculation on bubble-oscillation by underwater explosion [J]. Blasting, 2007(1): 17–20. doi: 10.3963/j.issn.1001-487X.2007.01.005
    [9] 王振宇, 唐兆田, 王善, 等. 水下爆炸气泡脉动的数值计算 [J]. 哈尔滨工程大学学报, 2008, 29(1): 22–27. doi: 10.3969/j.issn.1006-7043.2008.01.005

    WANG Z Y, TANG Z T, WANG S, et al. Numerical calculations of the bubble pulsation forces of underwater explosions [J]. Joumal of Harbin Engineering University, 2008, 29(1): 22–27. doi: 10.3969/j.issn.1006-7043.2008.01.005
    [10] 马海洋, 顾文彬, 夏卫国, 等. 气泡脉动法计算炸药能量的探讨 [J]. 西部探矿工程, 2003, 15(9): 117–118, 128. doi: 10.3969/j.issn.1004-5716.2003.09.057

    MA H Y, GU W B, XIA W G, et al. Discussion of method of calculating explosive energy using the bubble moving principle [J]. West-China Exploration Engineering, 2003, 15(9): 117–118, 128. doi: 10.3969/j.issn.1004-5716.2003.09.057
    [11] 赵铮, 陶钢, 杜长星. 爆轰产物JWL状态方程应用研究 [J]. 高压物理学报, 2009, 23(4): 277–282. doi: 10.3969/j.issn.1000-5773.2009.04.007

    ZHAO Z, TAO G, DU C X. Application research on JWL equation of state of detonation products [J]. Chinese Journal of High Pressure Physics, 2009, 23(4): 277–282. doi: 10.3969/j.issn.1000-5773.2009.04.007
    [12] 徐维铮, 吴卫国. JWL状态方程及其等效多方状态方程在内爆炸计算中的应用分析 [J]. 中国舰船研究, 2019, 14(3): 83–91.

    XU W Z, WU W G. Application analysis of JWL EOS and the equivalent polytropic EOS in internal explosion calculation [J]. Chinese Journal of Ship Research, 2019, 14(3): 83–91.
    [13] 孙美玲. 常微分方程数值解法的Matlab计算与可视比较 [J]. 高教学刊, 2016(19): 60–61.

    SUN M L. Matlab calculation and visual comparison of ordinary differential equation numerical solution method [J]. Journal of Higher Education, 2016(19): 60–61.
    [14] 宋浦, 杨凯, 梁安定, 等. 国内外TNT炸药的JWL状态方程及其能量释放差异分析 [J]. 火炸药学报, 2013, 36(2): 42–45. doi: 10.3969/j.issn.1007-7812.2013.02.010

    SONG P, YANG K, LIANG A D, et al. Difference analysis on JWL-EOS and energy release of different TNT charge [J]. Chinese Journal of Explosives & Propellants, 2013, 36(2): 42–45. doi: 10.3969/j.issn.1007-7812.2013.02.010
    [15] 王建灵, 赵东奎, 郭炜, 等. 水下爆炸能量测试中炸药入水深度的确定 [J]. 火炸药学报, 2002, 25(2): 30–31, 44. doi: 10.3969/j.issn.1007-7812.2002.02.012

    WANG J L, ZHAO D K, GUO W, et al. Determination of the reasonable depth of explosives in water to measure underwater explosive energy [J]. Chinese Journal of Explosives & Propellants, 2002, 25(2): 30–31, 44. doi: 10.3969/j.issn.1007-7812.2002.02.012
    [16] 郅斌伟, 马硕, 张志江. 水底爆炸气泡脉动特性 [J]. 爆破, 2009, 26(3): 22–24, 72. doi: 10.3963/j.issn.1001-487X.2009.03.006

    ZHI B W, MA S, ZHANG Z J. Characteristic of bubble pulsation by underwater explosion [J]. Blasting, 2009, 26(3): 22–24, 72. doi: 10.3963/j.issn.1001-487X.2009.03.006
    [17] 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. An engineering calculation method on the bubble pulse period of underwater explosion [J]. Acta Armamentarii, 2009, 30(9): 1202–1205. doi: 10.3321/j.issn:1000-1093.2009.09.010
    [18] 郅斌伟, 张志江, 马硕, 等. 水底爆炸冲击波峰值压力数值仿真 [J]. 爆破, 2009, 26(1): 22–24, 28. doi: 10.3963/j.issn.1001-487X.2009.01.006

    ZHI B W, ZHANG Z J, MA S, et al. Research on shock wave peak pressure of under water explosion [J]. Blasting, 2009, 26(1): 22–24, 28. doi: 10.3963/j.issn.1001-487X.2009.01.006
    [19] 张远平, 池家春, 龚晏青, 等. 含铝炸药水下爆炸性能的实验研究 [J]. 高压物理学报, 2010, 24(4): 316–320. doi: 10.11858/gywlxb.2010.04.013

    ZHANG Y P, CHI J C, GONG Y Q, et al. Experimental study on underwater explosion performance of aluminized explosive [J]. Chinese Journal of High Pressure Physics, 2010, 24(4): 316–320. doi: 10.11858/gywlxb.2010.04.013
    [20] 安丰江, 吴成, 王宁飞. 水下爆炸能量耗散特性分析研究 [J]. 北京理工大学学报, 2011, 31(4): 379–382.

    AN F J, WU C, WANG N F. A research on the energy dissipation of underwater explosion [J]. Transactions of Beijing Institute of Technology, 2011, 31(4): 379–382.
  • 加载中
图(3) / 表(4)
计量
  • 文章访问数:  1135
  • HTML全文浏览量:  772
  • PDF下载量:  75
出版历程
  • 收稿日期:  2021-04-22
  • 修回日期:  2021-05-13

目录

    /

    返回文章
    返回