Three-dimensional numerical simulation of crown spike due to coupling effect between bubbles and free surface

doi:10.1088/1674-1056/23/3/034703

Abstract The motion of gas bubbles beneath a free surface will lead to a spike of fluid on the free surface. The distance of the bubbles to the free surface is the key factor to different phenomena. When the inception distance varies in some range, crown phenomenon would happen after the impact of weak buoyancy bubbles, so this kind of spike is defined as crown spike in the present paper. Based on potential flow theory, a three-dimensional numerical model is established to simulate the motion of the free-surface spike generated by one bubble or a horizontal line of two in-phase bubbles. After the downward jet formed near the end of the collapse phase, the simulation of the free surface is performed to study the crown spike without regard to the toroidal bubble’s effect. Calculations about the interaction between one bubble and free surface agree well with the experimental results conducted with a high-speed camera, and relative error is within 15%. Crown spike in both single-and two-bubble cases are simulated numerically. Different features and laws of the motion of crown spike, depending on the bubble-boundary distances and the inter-bubble distances, have been investigated.

Keywords: bubble free surface three-dimensional numerical model crown spike

Received: 26 May 2013
Revised: 28 July 2013
Accepted manuscript online:

PACS:	47.55.dd	(Bubble dynamics)
	47.55.dr	(Interactions with surfaces)
	47.11.Hj	(Boundary element methods)

Fund: Project supported by the Major Basic Research Project of National Security of China (Grant No. 613157) and the Excellent Young Scientists Fund of China (Grant No. 51222904).

Corresponding Authors: Zhang A-Man
E-mail: zhangaman@hrbeu.edu.cn

Cite this article:

Han Rui (韩蕊), Zhang A-Man (张阿漫), Li Shuai (李帅) Three-dimensional numerical simulation of crown spike due to coupling effect between bubbles and free surface 2014 Chin. Phys. B 23 034703

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Three-dimensional numerical simulation of crown spike due to coupling effect between bubbles and free surface

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