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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.
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Keywords:
- elastic membrane /
- bubble /
- boundary integral method /
- buoyancy
[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 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 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 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
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[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 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 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 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
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