Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation
The secondary Bjerknes force (SBF) is the time-averaged interaction between two bubbles driven in a sound field. We derived a refined formula for the interaction force, incorporating the radial vibration and translational and deformational motions of the bubble. The coupling of pulsation, translatio...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Elsevier
2024-01-01
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Series: | Ultrasonics Sonochemistry |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S135041772400004X |
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author | Juanxiu Liu Xueping Wang Jinfu Liang Yupei Qiao |
author_facet | Juanxiu Liu Xueping Wang Jinfu Liang Yupei Qiao |
author_sort | Juanxiu Liu |
collection | DOAJ |
description | The secondary Bjerknes force (SBF) is the time-averaged interaction between two bubbles driven in a sound field. We derived a refined formula for the interaction force, incorporating the radial vibration and translational and deformational motions of the bubble. The coupling of pulsation, translation, and deformation enhances the interaction between bubbles but also weakens their stability, making it easier for bubbles to merge or break during motion. The effects of the coupling mode on the magnitude and direction of SBFs coupled with pulsation, translation, and deformation were numerically analyzed and studied. Under certain sound-field conditions, the SBF increased with increasing pressure amplitude, initial radius, and initial velocity, while decreased as the distance increased. In addition, the SBF irregularly increased with increasing frequency. |
first_indexed | 2024-03-08T11:54:24Z |
format | Article |
id | doaj.art-63eb129d75704be8a052b5a2778b1954 |
institution | Directory Open Access Journal |
issn | 1350-4177 |
language | English |
last_indexed | 2024-03-08T11:54:24Z |
publishDate | 2024-01-01 |
publisher | Elsevier |
record_format | Article |
series | Ultrasonics Sonochemistry |
spelling | doaj.art-63eb129d75704be8a052b5a2778b19542024-01-24T05:18:56ZengElsevierUltrasonics Sonochemistry1350-41772024-01-01102106756Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformationJuanxiu Liu0Xueping Wang1Jinfu Liang2Yupei Qiao3School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, ChinaSchool of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, ChinaCorresponding author.; School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, ChinaSchool of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, ChinaThe secondary Bjerknes force (SBF) is the time-averaged interaction between two bubbles driven in a sound field. We derived a refined formula for the interaction force, incorporating the radial vibration and translational and deformational motions of the bubble. The coupling of pulsation, translation, and deformation enhances the interaction between bubbles but also weakens their stability, making it easier for bubbles to merge or break during motion. The effects of the coupling mode on the magnitude and direction of SBFs coupled with pulsation, translation, and deformation were numerically analyzed and studied. Under certain sound-field conditions, the SBF increased with increasing pressure amplitude, initial radius, and initial velocity, while decreased as the distance increased. In addition, the SBF irregularly increased with increasing frequency.http://www.sciencedirect.com/science/article/pii/S135041772400004XDouble cavitation bubbleSecondary Bjerknes forceMultiple movement |
spellingShingle | Juanxiu Liu Xueping Wang Jinfu Liang Yupei Qiao Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation Ultrasonics Sonochemistry Double cavitation bubble Secondary Bjerknes force Multiple movement |
title | Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation |
title_full | Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation |
title_fullStr | Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation |
title_full_unstemmed | Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation |
title_short | Refined secondary Bjerknes force equation for double bubbles with pulsation, translation, and deformation |
title_sort | refined secondary bjerknes force equation for double bubbles with pulsation translation and deformation |
topic | Double cavitation bubble Secondary Bjerknes force Multiple movement |
url | http://www.sciencedirect.com/science/article/pii/S135041772400004X |
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