Study on the Dynamics of the Bubble under the Combined Action of the Bjerknes Effect of the Free Surface and the Buoyancy

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Abstract:

When the bubble moves in the vicinity of a free surface, the movement will be affected by the buoyancy and the Bjerknes effect. Blake and Gibson proposed the criterion which determined the motion direction of the jet and the dynamics of bubble. They proposed the jet wouldn’t be formed in the condition that . Based on the potential flow theory, boundary element method (BEM) is used to calculate three typical examples in this paper in order to study the dynamics of the bubble under the combined action of the Bjerknes effect of the free surface and the buoyancy. It is found out during the analysis that the Blake criterion is applicable to predict the conditions that and .

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628-631

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Blake J R, Gibson D C. Journal of Fluid Engineering, 1981, 111: 123-140.

Google Scholar

[2] A-man Zhang, Wen-Shan Yang, , et al. Computers and Fluids, 2013, 71: 169-178.

Google Scholar

[3] Zhang A. M, Ni B.Y. Computers & Fluids, 2014, 92: 22-33.

Google Scholar

[4] Blake J R, Taib B B, Doherty G. Journal of Fluid Mechanics, 1986, 170: 479-497.

Google Scholar

[5] Zhang A-man, Wang Shi-ping, et al. European Journal of Mechanics B/Fluid. 2013, 42: 69-91.

Google Scholar

[6] Klaseboer E, et al. Engineering Analysis with Boundary Elements, 2011, 35(3): 489-494.

Google Scholar

[7] Wang Q X, Yeo K S, Khoo B C, Lam K Y. Computers and Fluids, 1996, 25(7): 607-628.

Google Scholar

[8] A.M. Zhang, et al. Engineering Analysis with Boundary Elements, 2013, 37: 1179–1188.

Google Scholar

[9] Blake J R, Gibson D C. Annual Reviews Fluid Mechanics, 1987, 19: 99-123.

Google Scholar

[10] Newman J N 1977 Marine Hydrodynamics (1st Ed. ) ( London: MIT Press) 131.

Google Scholar

[11] Cole R H. 1948 Underwater Explosions (1st Ed. ) ( Prinston University Press) 164.

Google Scholar

[12] Wang C, Khoo B C. Journal of Computational Physics, 2004, 194(2): 451-480.

Google Scholar

[13] Wang Q X, et al. Theoretical and Computational Fluid Dynamics, 2005, 19(5): 303-317.

Google Scholar

[14] Klaseboer E, Hung K C, Wang C, et al. Journal of Fluid Mechanics. 2005, 537: 387-413.

Google Scholar