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Under potential flow assumption, a numerical method is established to simulate the nonlinear movement of the free surface after the breakup of a bubble, with taking the surface tension and viscous into consideration. A method to handle the splitting of the jet or drop is put forward. Besides, an experiment of rising bubble bursting at the free surface is conducted, and the numerical result is in good agreement with the experimental result. In order to study the mechanism and law of the free surface movement after bubble breakup, the dynamic behavior of different sizes of bubble breakup is studied with the program developed, including the jet from the bottom of the bubble, the splitting of the jet or drop and so on. The variation law of the size and time of the first splitting drop, and the maximum velocity of the jet is studied and summarized. Finally, the influences of Reynolds number and Weber number on the free surface after bubble breakup are also analyzed.
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Keywords:
- bubble /
- freesurface /
- breakup /
- splitting
[1] Zhang A M, Yang W S, Huang C, Ming F R 2013 Comput. Fluids 71 169
[2] Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮 2008 57 339]
[3] 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 61 084701]
[4] Zhang H H, Gao B, Zhang C 2003 Acta Phys. Sin. 52 1714 (in Chinese) [张寒虹, 高波, 张弛 2003 52 1714]
[5] Bird J C, Ruiter R, Courbin L, Stone H A 2010 Nature 465 759
[6] Ma C, Bo H L 2012 At. Energ. Sci. Tech. 46 (Suppl) 231 (in Chinese) [马超, 薄涵亮 2012 原子能科学技术 46 (增刊) 231]
[7] Kientzler C F, Arons A B, Blanchard D C, Woodcock A H 1954 Tellus 6 1
[8] Garner F H, Ellis S R M, Lacey J A 1954 Trans. Inst. Chem. Engrs. 32 222
[9] Keffer J F, Shah R K, Ganic E N 1991 Experimental Heat Transfer, Fluid Mechanics and Thermodynamics (Elsevier Science Ltd) p1066
[10] Afeti G M, Resch F J 1992 Trends Geophys. Res. 1 113
[11] Boulton-Stone J M, Blake J R 1993 J. Fluid Mech. 254 437
[12] Sussman M, Smereka P 1997 J. Fluid Mech. 341 269
[13] Georgescu S C, Achard J L, Canot E 2002 Eur. J. Mech. B Fluid 21 265
[14] Wang H 2010 Ph. D. Dissertation (Shanghai: Fudan University) (in Chinese) [王含 2010 博士学位论文 (上海: 复旦大学)]
[15] Sanada T, Watanabe M, Fukano T 2005 Chem. Eng. Sci. 60 5372
[16] Malysa K, Krasowska M, Krzan M 2005 Adv. Colloid Interface Sci. 114-115 205
[17] Toba Y 1959 J. Oceanogr. Soc. Japan 15 121
[18] Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[19] Wang Q X, Teo K S, Khoo B C 1996 Theoret. Comput. Fluid Dyn. 8 73
[20] Dai Y S, Duan W Y 2008 Potential Flow Theory of Ship Motion in Waves (Vol. 1) (Beijing: National Defense Industry Press) p36 (in Chinese) [戴遗山, 段文洋2008 船舶在波浪中运动的势流理论(北京: 国防工业出版社)第36页]
[21] Zhang A M, Ni B Y, Song B Y, Yao X L 2010 Appl. Math. Mech. 31 449
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[1] Zhang A M, Yang W S, Huang C, Ming F R 2013 Comput. Fluids 71 169
[2] Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮 2008 57 339]
[3] 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 61 084701]
[4] Zhang H H, Gao B, Zhang C 2003 Acta Phys. Sin. 52 1714 (in Chinese) [张寒虹, 高波, 张弛 2003 52 1714]
[5] Bird J C, Ruiter R, Courbin L, Stone H A 2010 Nature 465 759
[6] Ma C, Bo H L 2012 At. Energ. Sci. Tech. 46 (Suppl) 231 (in Chinese) [马超, 薄涵亮 2012 原子能科学技术 46 (增刊) 231]
[7] Kientzler C F, Arons A B, Blanchard D C, Woodcock A H 1954 Tellus 6 1
[8] Garner F H, Ellis S R M, Lacey J A 1954 Trans. Inst. Chem. Engrs. 32 222
[9] Keffer J F, Shah R K, Ganic E N 1991 Experimental Heat Transfer, Fluid Mechanics and Thermodynamics (Elsevier Science Ltd) p1066
[10] Afeti G M, Resch F J 1992 Trends Geophys. Res. 1 113
[11] Boulton-Stone J M, Blake J R 1993 J. Fluid Mech. 254 437
[12] Sussman M, Smereka P 1997 J. Fluid Mech. 341 269
[13] Georgescu S C, Achard J L, Canot E 2002 Eur. J. Mech. B Fluid 21 265
[14] Wang H 2010 Ph. D. Dissertation (Shanghai: Fudan University) (in Chinese) [王含 2010 博士学位论文 (上海: 复旦大学)]
[15] Sanada T, Watanabe M, Fukano T 2005 Chem. Eng. Sci. 60 5372
[16] Malysa K, Krasowska M, Krzan M 2005 Adv. Colloid Interface Sci. 114-115 205
[17] Toba Y 1959 J. Oceanogr. Soc. Japan 15 121
[18] Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[19] Wang Q X, Teo K S, Khoo B C 1996 Theoret. Comput. Fluid Dyn. 8 73
[20] Dai Y S, Duan W Y 2008 Potential Flow Theory of Ship Motion in Waves (Vol. 1) (Beijing: National Defense Industry Press) p36 (in Chinese) [戴遗山, 段文洋2008 船舶在波浪中运动的势流理论(北京: 国防工业出版社)第36页]
[21] Zhang A M, Ni B Y, Song B Y, Yao X L 2010 Appl. Math. Mech. 31 449
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