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...

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Main Authors: Juanxiu Liu, Xueping Wang, Jinfu Liang, Yupei Qiao
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Ultrasonics Sonochemistry
Subjects:
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.
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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
work_keys_str_mv AT juanxiuliu refinedsecondarybjerknesforceequationfordoublebubbleswithpulsationtranslationanddeformation
AT xuepingwang refinedsecondarybjerknesforceequationfordoublebubbleswithpulsationtranslationanddeformation
AT jinfuliang refinedsecondarybjerknesforceequationfordoublebubbleswithpulsationtranslationanddeformation
AT yupeiqiao refinedsecondarybjerknesforceequationfordoublebubbleswithpulsationtranslationanddeformation