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Strong interaction between bubble and free-surface will cause complex phenomena, producing many different types of spike. Based on potential flow theory, a numerical model was established to simulate the crown spike. A downward jet was formed during the bubble’s collapsing, and simulation of the free-surface was continued regard less of the ring bubble’s effect on it. Simulation results show good agreement with the experiment conducted with a high speed camera and a spark-generated device, and the relative error was less than 10%. Some special phenomena were found through numerical calculation, such as apron-shrink and peak-dropped. Finally, the effects of initial condition and Weber number on crown-type water column were studied.
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Keywords:
- bubble /
- free-surface /
- crown spike /
- Weber number
[1] Gibson D C 1968 The Third Australasian Conference on Hydraulic and Fluid Mechanics Sydney Australia,November 25-29, 196 p210
[2] Blake J R, Gibson D C 1987 J. Fluid Mech. 19 99
[3] Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Theoret. Comput. Fluid Dynamics 8 73
[4] Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Comput. Fluids 25 607
[5] Pearson A, Cox E, Blake J R, Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[6] Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮 2008 物理学报 57 339]
[7] Li Z R, Sun L, Zong Z, Dong J 2012 Acta Mech. Sin. 28 51
[8] Liu Y L, Zhang A M, Wang S P, Tian Z L 2012 Acta Phys. Sin. 61 224702 (in Chinse) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 物理学报 61 224702]
[9] Zhang A M, Wang C, Wang S P, Cheng X D 2012 Acta Phys. Sin. 61 084701 (in Chinese) [张阿漫, 王超, 王诗平, 程晓达 2012 物理学报 61 084701]
[10] Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[11] Klaseboer E, Manic R, Khoo B C, Derek Y C C 2011 Eng. Anal. Bound. Elem. 35 489
[12] Wang C, Khoo B C 2004 J. Comput. Phys. 194 451
[13] Lee M, Klaseboer E, Khoo B C 2007 J. Fluid Mech. 570 407
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[1] Gibson D C 1968 The Third Australasian Conference on Hydraulic and Fluid Mechanics Sydney Australia,November 25-29, 196 p210
[2] Blake J R, Gibson D C 1987 J. Fluid Mech. 19 99
[3] Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Theoret. Comput. Fluid Dynamics 8 73
[4] Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Comput. Fluids 25 607
[5] Pearson A, Cox E, Blake J R, Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[6] Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮 2008 物理学报 57 339]
[7] Li Z R, Sun L, Zong Z, Dong J 2012 Acta Mech. Sin. 28 51
[8] Liu Y L, Zhang A M, Wang S P, Tian Z L 2012 Acta Phys. Sin. 61 224702 (in Chinse) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 物理学报 61 224702]
[9] Zhang A M, Wang C, Wang S P, Cheng X D 2012 Acta Phys. Sin. 61 084701 (in Chinese) [张阿漫, 王超, 王诗平, 程晓达 2012 物理学报 61 084701]
[10] Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[11] Klaseboer E, Manic R, Khoo B C, Derek Y C C 2011 Eng. Anal. Bound. Elem. 35 489
[12] Wang C, Khoo B C 2004 J. Comput. Phys. 194 451
[13] Lee M, Klaseboer E, Khoo B C 2007 J. Fluid Mech. 570 407
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