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Study on Bubble Cavitation in Liquids for Bubbles Arranged in a Columnar Bubble Group

by Peng-li Zhang 1,2 and Shu-yu Lin 1,*
1
Institute of Applied Acoustics, Shaanxi Normal University, Xi’an, 71054, China
2
College of Science, Xi’an University of Science and Technology, Xi’an, 710062, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(24), 5292; https://doi.org/10.3390/app9245292
Received: 24 October 2019 / Revised: 28 November 2019 / Accepted: 29 November 2019 / Published: 4 December 2019
(This article belongs to the Section Acoustics and Vibrations)
In liquids, bubbles usually exist in the form of bubble groups. Due to their interaction with other bubbles, the resonance frequency of bubbles decreases. In this paper, the resonance frequency of bubbles in a columnar bubble group is obtained by linear simplification of the bubbles’ dynamic equation. The correction coefficient between the resonance frequency of the bubbles in the columnar bubble group and the Minnaert frequency of a single bubble is given. The results show that the resonance frequency of bubbles in the bubble group is affected by many parameters such as the initial radius of bubbles, the number of bubbles in the bubble group, and the distance between bubbles. The initial radius of the bubbles and the distance between bubbles are found to have more significant influence on the resonance frequency of the bubbles. When the distance between bubbles increases to 20 times the bubbles’ initial radius, the coupling effect between bubbles can be ignored, and after that the bubbles’ resonance frequency in the bubble group tends to the resonance frequency of a single bubble’s resonance frequency. Fluent software is used to simulate the bubble growth, shrinkage, and collapse of five and seven bubbles under an ultrasonic field. The simulation results show that when the bubble breaks, the two bubbles at the outer field first begin to break and form a micro-jet along the axis line of the bubbles. Our methods and conclusions will provide a reference for further simulations and indicate the significance of the prevention or utilization of cavitation.
Keywords: dynamic equation; bubbles; resonance frequency; bubble number; distance dynamic equation; bubbles; resonance frequency; bubble number; distance
MDPI and ACS Style

Zhang, P.-L.; Lin, S.-Y. Study on Bubble Cavitation in Liquids for Bubbles Arranged in a Columnar Bubble Group. Appl. Sci. 2019, 9, 5292.

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