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Study on the interaction between bubble and free surface near an inclined vertical wall is carried out in this paper. Firstly, boundary element model for bubble dynamics based on incompressible potential flow is established, and the solid wall is modeled using the images of bubble and free surface. Then, through the numerical model, bubble dynamics near the walls with various inclination angles are studied respectively. We find that the inclination would lead discontinuity of the boundary condition of intersection between free surface and solid wall, which can affect its motion nonlinearly. Finally, the influence of the inclination angle on the bubble and spike dynamics is analyzed.
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Keywords:
- underwater explosion /
- bubble dynamics /
- inclined wall /
- free surface
[1] Cole R H 1948 Underwater Explosion (1st Ed.) (New Jersey: Princeton University Press) p118
[2] Plesset M S, Chapman R B 1971 J. Fluid Mech. 47 283
[3] Wang H, Zhang Z Y, Yang Y M, Hu Y, Zhang H S 2008 Chin. Phys. B 17 3847
[4] Blake J R Gibson D C 1981 J. Fluid Mech. 111 123
[5] Blake J R, Gibson D C 1987 Annu. Rev. Fluid Mech. 19 99
[6] Pearson A, Cox E, Blake J R Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[7] Blake J R, Taib B B, Dohert Y G 1986 J. Fluid Mech. 170 479
[8] Wang Q X 1998 Theoret. Comput. Fluid Dynamics 12 29
[9] Klaseboer E, Khoo B C, Hung K C 2005 J. Fluids Struct 21 395
[10] Khoo B C, Shervani-Tabar M T 2009 Exp. Fluids 46 419
[11] Dadvand A, Khoo B C, Shervani-Tabar M T Khalilpourazary S 2012 Engineering Analysis with Boundary Elements 36 1595
[12] Chu W H, Zhang A M, Yang H, Cao X Y 2013 Journal of Vibration and Shock (in press) (in Chinese) [初文华, 张阿漫, 羊慧 2013 振动与冲击 (in Press)]
[13] Klaseboer E, Huang K C, Wang C, Wang C W, Khoo B C, Boyce P, Debono S, Charlier H 2005 J. Fluid Mech. 537 387
[14] Turangan C K, Ong G P, Klaseboer E, Khoo B C 2006 Journal of Applied Physics 100 054910
[15] Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. (in Press) 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2013 62 144703]
[16] Rayleigh J W 1917 Philos Magazine 34 94
[17] Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. 61 224702 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 61 224702]
[18] Pearson A, Cox E, Blake J R, Otto S R 2004 Engineering Analysis with Boundary Elements 28 295
[19] Wang C, Khoo B C 2004 Journal of Computional Physics 194 451
[20] Zhang A M, Yao X L 2008 Chin. Phys. B 17 927
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[1] Cole R H 1948 Underwater Explosion (1st Ed.) (New Jersey: Princeton University Press) p118
[2] Plesset M S, Chapman R B 1971 J. Fluid Mech. 47 283
[3] Wang H, Zhang Z Y, Yang Y M, Hu Y, Zhang H S 2008 Chin. Phys. B 17 3847
[4] Blake J R Gibson D C 1981 J. Fluid Mech. 111 123
[5] Blake J R, Gibson D C 1987 Annu. Rev. Fluid Mech. 19 99
[6] Pearson A, Cox E, Blake J R Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[7] Blake J R, Taib B B, Dohert Y G 1986 J. Fluid Mech. 170 479
[8] Wang Q X 1998 Theoret. Comput. Fluid Dynamics 12 29
[9] Klaseboer E, Khoo B C, Hung K C 2005 J. Fluids Struct 21 395
[10] Khoo B C, Shervani-Tabar M T 2009 Exp. Fluids 46 419
[11] Dadvand A, Khoo B C, Shervani-Tabar M T Khalilpourazary S 2012 Engineering Analysis with Boundary Elements 36 1595
[12] Chu W H, Zhang A M, Yang H, Cao X Y 2013 Journal of Vibration and Shock (in press) (in Chinese) [初文华, 张阿漫, 羊慧 2013 振动与冲击 (in Press)]
[13] Klaseboer E, Huang K C, Wang C, Wang C W, Khoo B C, Boyce P, Debono S, Charlier H 2005 J. Fluid Mech. 537 387
[14] Turangan C K, Ong G P, Klaseboer E, Khoo B C 2006 Journal of Applied Physics 100 054910
[15] Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. (in Press) 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2013 62 144703]
[16] Rayleigh J W 1917 Philos Magazine 34 94
[17] Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. 61 224702 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 61 224702]
[18] Pearson A, Cox E, Blake J R, Otto S R 2004 Engineering Analysis with Boundary Elements 28 295
[19] Wang C, Khoo B C 2004 Journal of Computional Physics 194 451
[20] Zhang A M, Yao X L 2008 Chin. Phys. B 17 927
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