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气泡与弹性膜的耦合效应数值模拟

王诗平 张阿漫 刘云龙 姚熊亮

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气泡与弹性膜的耦合效应数值模拟

王诗平, 张阿漫, 刘云龙, 姚熊亮

Numerical simulation of bubbles coupled with an elastic membrane

Wang Shi-Ping, Zhang A-Man, Liu Yun-Long, Yao Xiong-Liang
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  • 本文在前人研究的基础上,计入浮力、表面张力、不同流体密度比等因素对弹性膜附近气泡运动的影响,结合不可压缩理想流体理论,建立气泡与弹性膜耦合动力学数值模型,采用边界元方法进行求解,计算值与Turangan等的实验结果符合良好.通过对弹性膜附近气泡运动的数值模拟,详细分析了弹性膜两侧为同种密度液体以及不同密度液体时气泡的运动,随后又分析气泡在弹性膜和浮力的共同作用下气泡的射流特性.旨在为相关气泡与弹性膜相互作用特性的研究提供参考.
    Based on the previous studies, the numerical model of oscillating bubble coupling with elastic membrane is built under the consideration of buoyancy, surface tension and different fluid density ratios. Provided that the fluid around bubble is incompressible the boundary element method is adopted to solve this model and the numerical results coincide well with the Turangan’s experimental results. Through the numerical simulation of the oscillating bubble near elastic membrane, the characteristics of bubble are discussed in fluids of the same density or different densityies separated by the elastic membrane, together with the jet features under the combination of elastic membrane and buoyancy. All these work is to present references to the research on dynamic behavior of bubble near elastic membrane.
    • 基金项目: 国家自然科学基金重点项目(批准号:50939002),国家自然科学基金委员会-中国工程物理研究院联合基金(批准号:10976008),国家自然科学基金(批准号:50809018,50779007),中央高校基本科研业务费专项资金(批准号:HEUCFZ1001),第十二届霍英东教育基金(批准号:121073)资助的课题.
    [1]

    Cole R H(Translated by Luo Y J, Han R Z, Guan X)1965 Underwater Explosion (Beijing: National Defence Industrial Press) p163—234 (in Chinese)[库尔 R H.著 罗耀杰、韩润泽、官信译 1965 水下爆炸(北京:国防工业出版社)第163—234页]

    [2]

    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

    [3]

    Qi D M, Lu C J, He Y S 1999 Shanghai J. Mech. 20 1 (in Chinese) [戚定满、鲁传敬、何友声 1999 上海力学 20 1]

    [4]

    Blake J R, Gibson D C 1987 Ann. Rev. Fluid Mech. 19 99

    [5]

    Benjamin T B, Ellis A T 1966 Philosophical Transactions of the Royal Society of London 260 221

    [6]

    Lauerborn W, Belle H 1975 J. Fluid Mech. 72 391

    [7]

    Gao B, Zhang H H, Zhang C 2003 Acta Phys. Sin. 52 1714 (in Chinese)[高 波、张寒虹、张 驰 2003 物理学报 52 1714]

    [8]

    Xu R Q, Chen X, Shen X H, Lu J, Ni X W 2004 Acta Phys. Sin. 53 1413(in Chinese) [徐荣青、陈 笑、沈中华、陆 建、倪晓武 2004 物理学报 53 1413]

    [9]

    Zhao R, Xu R Q, Shen Z H, Lu J, Ni X W 2006 Acta Phys. Sin. 55 4783(in Chinese) [赵 瑞、徐荣青、沈中华、陆 建、倪晓武 2006 物理学报 55 4783]

    [10]

    Brujan E A, Nahen K, Schmidt P, Vogel A 2001 J. Fluid Mech. 433 251

    [11]

    Shaw S J, Jin Y H, Gentry T P, Emmony D C 1999 Phys. Fluids 11 2437

    [12]

    Turangan C K, Ong G P, Klaseboer E, Khoo B C 2006 J. App. Phys. 100 054910

    [13]

    Zhang A M, Yao X L 2008 Chin. Phys. B 17 927

    [14]

    Klaseboer E, Khoo B C 2004 Comput. Mech. 33 129

  • [1]

    Cole R H(Translated by Luo Y J, Han R Z, Guan X)1965 Underwater Explosion (Beijing: National Defence Industrial Press) p163—234 (in Chinese)[库尔 R H.著 罗耀杰、韩润泽、官信译 1965 水下爆炸(北京:国防工业出版社)第163—234页]

    [2]

    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

    [3]

    Qi D M, Lu C J, He Y S 1999 Shanghai J. Mech. 20 1 (in Chinese) [戚定满、鲁传敬、何友声 1999 上海力学 20 1]

    [4]

    Blake J R, Gibson D C 1987 Ann. Rev. Fluid Mech. 19 99

    [5]

    Benjamin T B, Ellis A T 1966 Philosophical Transactions of the Royal Society of London 260 221

    [6]

    Lauerborn W, Belle H 1975 J. Fluid Mech. 72 391

    [7]

    Gao B, Zhang H H, Zhang C 2003 Acta Phys. Sin. 52 1714 (in Chinese)[高 波、张寒虹、张 驰 2003 物理学报 52 1714]

    [8]

    Xu R Q, Chen X, Shen X H, Lu J, Ni X W 2004 Acta Phys. Sin. 53 1413(in Chinese) [徐荣青、陈 笑、沈中华、陆 建、倪晓武 2004 物理学报 53 1413]

    [9]

    Zhao R, Xu R Q, Shen Z H, Lu J, Ni X W 2006 Acta Phys. Sin. 55 4783(in Chinese) [赵 瑞、徐荣青、沈中华、陆 建、倪晓武 2006 物理学报 55 4783]

    [10]

    Brujan E A, Nahen K, Schmidt P, Vogel A 2001 J. Fluid Mech. 433 251

    [11]

    Shaw S J, Jin Y H, Gentry T P, Emmony D C 1999 Phys. Fluids 11 2437

    [12]

    Turangan C K, Ong G P, Klaseboer E, Khoo B C 2006 J. App. Phys. 100 054910

    [13]

    Zhang A M, Yao X L 2008 Chin. Phys. B 17 927

    [14]

    Klaseboer E, Khoo B C 2004 Comput. Mech. 33 129

计量
  • 文章访问数:  7586
  • PDF下载量:  1111
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-11-28
  • 修回日期:  2010-12-14
  • 刊出日期:  2011-05-15

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