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Research on interaction between bubble and surface waves based on BEM

Liu Yun-Long Zhang A-Man Wang Shi-Ping Tian Zhao-Li

Research on interaction between bubble and surface waves based on BEM

Liu Yun-Long, Zhang A-Man, Wang Shi-Ping, Tian Zhao-Li
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  • In order to study the interaction between underwater explosion bubble and surface waves, numerical and analytical methods are combined in this paper to solve the singular problem of the opened free surface and to consider the influence of far field. Then we decompose the velocity potential into incident potential due to the waves and the disturbing potential due to the bubble to consider the influence of waves. With the numerical model, interaction between the underwater explosion bubble and surface waves and the influence of wavelength and initial phase on the bubble dynamics are analyzed in this paper. Through the analysis of the numerical results, following conclusions are reached. During the collapsing phase of the bubble, the existence of the waves would budge the upside bubble and the downward liquid jet, while for the spike of the free surface, the influences on its height and width are considerable besides its migration. These magnitudes of influence are changed with the initial phase periodically, and decrease with the increase of wavelength in the range considered in this paper.
    • Funds: Project is supported by the National Natural Science Foundation of China (Grant Nos. 50939002, 51222904), the National Security Major Basic Research Program of China (Grant No. 613157020102), the National Natural Science Foundation of China-NSAF (Grant No. 10976008), the 12th Fok Ying Tung Education Foundation, China (Grant No. 121073), and the Program for New Century Excellent Talents in University (Grant No. NCET100054).
    [1]

    Zhang X C 2008 J. Ship Mech. 12 490

    [2]

    Rungsiyaphornrat S, Klaseboer E, Khoo B C, Yeo K S 2003 Comp. Fluids 32 1049

    [3]

    Wang Q X, Blake J R 2010J. Fluid Mech. 659 191 1-34

    [4]

    Wehausen J V, Laitone E V 1966 Enc. Phys. IX p446-778

    [5]

    Klaseboer E, Khoo B C, Hung K C 2005 J. Fluids Struct. 21 395

    [6]

    Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Comp. Fluids 25 607

    [7]

    Gibson D C, Blake J R 1982 Appl. Sci. Res. 38 215

    [8]

    Robinson P B, Blake J R, Kodama T, Shima A, Tomita Y 2001 J. Appl. Phys. 89 8225

    [9]

    Pozrikidis C 2004 Eng. Anal. Bound. Elem. 28 315

    [10]

    Klaseboer E, Hung K C, Wang C, Wang C W, Khoo B C, Boyce P, Debono S, Charlier H 2005 J. Fluid. Mech. 537 387

    [11]

    Liu C R, Zhou X C 1996 J. Hydr. 11 576 (in Chinese) [刘春嵘, 周显初 1996 水动力学研究与进展 11 576]

    [12]

    Liu C R, Zhou X C, Huhe A D 1997 J. Hydr. 12 315 (in Chinese) [刘春嵘, 周显初, 呼和敖德 1997 水动力学研究与进展 12 315]

    [13]

    Pozrikidis C 2004 Eng. Anal. Bound. Elem. 28 315

    [14]

    Zong Z, He L, Sun L Q 2008 J. Ship Mech. 12 733 (in Chinese) [宗智, 何亮, 孙龙泉 2008 船舶力学 12 733]

    [15]

    Zhu X, Fang B 2007 J. Nav. Univ. Eng. 19 6 (in Chinese) [朱锡, 方斌 2007 海军工程大学学报 19 6]

    [16]

    Liu J H 2002 Ph. D. Dissertation (Wuxi: China Ship Scientific Research Center) [刘建湖 2002 博士论文 (无锡: 中国船舶科学技术研究所)]

    [17]

    Qi D M, Lu C J, He Y S 2000 Chin Quart. Mech. 21 16 (in Chinese) [戚定满, 鲁传敬, 何友声 2000 力学季刊 21 16]

    [18]

    Li G H, Li Y J, Zhang X C, Yang Y C, Feng Z J, He B, Chen H 2005 J. Ship Mech. 20 128(in Chinese) [李国华, 李玉节, 张效慈, 杨云川, 冯子钧, 何斌, 陈辉 2005 实验力学 20 128]

    [19]

    Zhang A M, Wang S P, Bai Z H, Huang C 2011 Chin. J. Theor. Appl. Mech. 43 71 (in Chinese) [张阿漫, 王诗平, 白兆宏, 黄超 2011 力学学报 43 71]

    [20]

    Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Cinese) [张阿漫, 姚熊亮 2008 物理学报 57 339]

    [21]

    Rong J L, Li J 2008 Acta Arm Ament. II 29 331 (in Chinese) [荣吉利, 李健 2008 兵工学报 29 331]

    [22]

    Cole R H 1948 Underwater Explosion (1st Ed.) (New Jersey: Princeton University Press) p118

    [23]

    Wang S P, Zhang A M, Liu Y L, Wang C 2012 J. Theor. Appl. Mech. 44 56 (in Chinese) [王诗平, 张阿漫, 刘云龙, 王超 2012 力学学报 44 56]

  • [1]

    Zhang X C 2008 J. Ship Mech. 12 490

    [2]

    Rungsiyaphornrat S, Klaseboer E, Khoo B C, Yeo K S 2003 Comp. Fluids 32 1049

    [3]

    Wang Q X, Blake J R 2010J. Fluid Mech. 659 191 1-34

    [4]

    Wehausen J V, Laitone E V 1966 Enc. Phys. IX p446-778

    [5]

    Klaseboer E, Khoo B C, Hung K C 2005 J. Fluids Struct. 21 395

    [6]

    Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Comp. Fluids 25 607

    [7]

    Gibson D C, Blake J R 1982 Appl. Sci. Res. 38 215

    [8]

    Robinson P B, Blake J R, Kodama T, Shima A, Tomita Y 2001 J. Appl. Phys. 89 8225

    [9]

    Pozrikidis C 2004 Eng. Anal. Bound. Elem. 28 315

    [10]

    Klaseboer E, Hung K C, Wang C, Wang C W, Khoo B C, Boyce P, Debono S, Charlier H 2005 J. Fluid. Mech. 537 387

    [11]

    Liu C R, Zhou X C 1996 J. Hydr. 11 576 (in Chinese) [刘春嵘, 周显初 1996 水动力学研究与进展 11 576]

    [12]

    Liu C R, Zhou X C, Huhe A D 1997 J. Hydr. 12 315 (in Chinese) [刘春嵘, 周显初, 呼和敖德 1997 水动力学研究与进展 12 315]

    [13]

    Pozrikidis C 2004 Eng. Anal. Bound. Elem. 28 315

    [14]

    Zong Z, He L, Sun L Q 2008 J. Ship Mech. 12 733 (in Chinese) [宗智, 何亮, 孙龙泉 2008 船舶力学 12 733]

    [15]

    Zhu X, Fang B 2007 J. Nav. Univ. Eng. 19 6 (in Chinese) [朱锡, 方斌 2007 海军工程大学学报 19 6]

    [16]

    Liu J H 2002 Ph. D. Dissertation (Wuxi: China Ship Scientific Research Center) [刘建湖 2002 博士论文 (无锡: 中国船舶科学技术研究所)]

    [17]

    Qi D M, Lu C J, He Y S 2000 Chin Quart. Mech. 21 16 (in Chinese) [戚定满, 鲁传敬, 何友声 2000 力学季刊 21 16]

    [18]

    Li G H, Li Y J, Zhang X C, Yang Y C, Feng Z J, He B, Chen H 2005 J. Ship Mech. 20 128(in Chinese) [李国华, 李玉节, 张效慈, 杨云川, 冯子钧, 何斌, 陈辉 2005 实验力学 20 128]

    [19]

    Zhang A M, Wang S P, Bai Z H, Huang C 2011 Chin. J. Theor. Appl. Mech. 43 71 (in Chinese) [张阿漫, 王诗平, 白兆宏, 黄超 2011 力学学报 43 71]

    [20]

    Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Cinese) [张阿漫, 姚熊亮 2008 物理学报 57 339]

    [21]

    Rong J L, Li J 2008 Acta Arm Ament. II 29 331 (in Chinese) [荣吉利, 李健 2008 兵工学报 29 331]

    [22]

    Cole R H 1948 Underwater Explosion (1st Ed.) (New Jersey: Princeton University Press) p118

    [23]

    Wang S P, Zhang A M, Liu Y L, Wang C 2012 J. Theor. Appl. Mech. 44 56 (in Chinese) [王诗平, 张阿漫, 刘云龙, 王超 2012 力学学报 44 56]

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    [9] Wang Shi-Ping, Zhang A-Man, Liu Yun-Long, Yao Xiong-Liang. Numerical simulation of bubbles coupled with an elastic membrane. Acta Physica Sinica, 2011, 60(5): 054702. doi: 10.7498/aps.60.054702
    [10] Zhang A-Man, Wang Chao, Wang Shi-Ping, Cheng Xiao-Da. Experimental study of interaction between bubble and free surface. Acta Physica Sinica, 2012, 61(8): 084701. doi: 10.7498/aps.61.084701
    [11] Wu Wei, Sun Dong-Ke, Dai Ting, Zhu Ming-Fang. Modeling of dendritic growth and bubble formation. Acta Physica Sinica, 2012, 61(15): 150501. doi: 10.7498/aps.61.150501
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Publishing process
  • Received Date:  11 February 2012
  • Accepted Date:  15 June 2012
  • Published Online:  20 November 2012

Research on interaction between bubble and surface waves based on BEM

  • 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Fund Project:  Project is supported by the National Natural Science Foundation of China (Grant Nos. 50939002, 51222904), the National Security Major Basic Research Program of China (Grant No. 613157020102), the National Natural Science Foundation of China-NSAF (Grant No. 10976008), the 12th Fok Ying Tung Education Foundation, China (Grant No. 121073), and the Program for New Century Excellent Talents in University (Grant No. NCET100054).

Abstract: In order to study the interaction between underwater explosion bubble and surface waves, numerical and analytical methods are combined in this paper to solve the singular problem of the opened free surface and to consider the influence of far field. Then we decompose the velocity potential into incident potential due to the waves and the disturbing potential due to the bubble to consider the influence of waves. With the numerical model, interaction between the underwater explosion bubble and surface waves and the influence of wavelength and initial phase on the bubble dynamics are analyzed in this paper. Through the analysis of the numerical results, following conclusions are reached. During the collapsing phase of the bubble, the existence of the waves would budge the upside bubble and the downward liquid jet, while for the spike of the free surface, the influences on its height and width are considerable besides its migration. These magnitudes of influence are changed with the initial phase periodically, and decrease with the increase of wavelength in the range considered in this paper.

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