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Chin. Phys. B, 2008, Vol. 17(3): 927-938    DOI: 10.1088/1674-1056/17/3/031
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

The interaction between multiple bubbles and the free surface

Zhang A-Man(张阿漫) and Yao Xiong-Liang(姚熊亮)
School of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Abstract  The flow is assumed to be potential, and a boundary integral method is used to solve the Laplace equation for the velocity potential to investigate the shape and the position of the bubble. A 3D code to study the bubble dynamics is developed, and the calculation results agree well with the experimental data. Numerical analyses are carried out for the interaction between multiple bubbles near the free surface including in-phase and out-of-phase bubbles. The calculation result shows that the bubble period increases with the decrease of the distance between bubble centres because of the depression effect between multiple bubbles. The depression has no relationship with the free surface and it is more apparent for out-of-phase bubbles. There are great differences in dynamic behaviour between the in-phase bubbles and the out-of-phase bubbles due to the depression effect. Furthermore, the interaction among eight bubbles is simulated with a three-dimensional model, and the evolving process and the relevant physical phenomena are presented. These phenomena can give a reference to the future work on the power of bubbles induced by multiple charges exploding simultaneously or continuously.
Keywords:  multiple bubbles      boundary integral      free surface      depression effect      potential flow theory  
Received:  15 September 2007      Revised:  21 October 2007      Accepted manuscript online: 
PACS:  47.55.dd (Bubble dynamics)  
  02.60.Nm (Integral and integrodifferential equations)  
  47.11.Hj (Boundary element methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 50779007).

Cite this article: 

Zhang A-Man(张阿漫) and Yao Xiong-Liang(姚熊亮) The interaction between multiple bubbles and the free surface 2008 Chin. Phys. B 17 927

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