Radial and translational motions of a gas bubble in a Gaussian standing wave field

Acoustic waves with a finite beam width are widely used in acoustic manipulation and cavitation applications. In view of this, radial oscillation and translational motion of a gas bubble in a Gaussian standing wave field are studied in this work. Dynamic differential equations for the bubble are der...

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Main Author: Yuchen Zang
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:Ultrasonics Sonochemistry
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1350417723004248
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author Yuchen Zang
author_facet Yuchen Zang
author_sort Yuchen Zang
collection DOAJ
description Acoustic waves with a finite beam width are widely used in acoustic manipulation and cavitation applications. In view of this, radial oscillation and translational motion of a gas bubble in a Gaussian standing wave field are studied in this work. Dynamic differential equations for the bubble are derived with the axial and transverse motions coupled with each other. A comprehensive numerical study is also carried out in the parameter space of the driving frequency, pressure amplitude, initial coordinate, off-axial distance and beam waist. The results demonstrate that the nonlinear radial oscillation can be intensified by a higher pressure amplitude and a smaller off-axial distance. Whether the driving frequency is much lower than the resonance frequency determines not only the final equilibrium position but also the direction of translational motion for the gas bubble. With the widening of the Gaussian standing wave, the radial oscillation will be weakened and the translational motion will be slowed down due to reduction of the pressure gradient regardless of the driving frequency. The results obtained in this study is of interest for an understanding of the bubble dynamics in non-plane acoustic wave fields.
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spelling doaj.art-2610dae287db46e8a1001f9e26af71132023-12-19T04:16:46ZengElsevierUltrasonics Sonochemistry1350-41772023-12-01101106712Radial and translational motions of a gas bubble in a Gaussian standing wave fieldYuchen Zang0School of Physics and Technology, Nanjing Normal University, Nanjing 210023, ChinaAcoustic waves with a finite beam width are widely used in acoustic manipulation and cavitation applications. In view of this, radial oscillation and translational motion of a gas bubble in a Gaussian standing wave field are studied in this work. Dynamic differential equations for the bubble are derived with the axial and transverse motions coupled with each other. A comprehensive numerical study is also carried out in the parameter space of the driving frequency, pressure amplitude, initial coordinate, off-axial distance and beam waist. The results demonstrate that the nonlinear radial oscillation can be intensified by a higher pressure amplitude and a smaller off-axial distance. Whether the driving frequency is much lower than the resonance frequency determines not only the final equilibrium position but also the direction of translational motion for the gas bubble. With the widening of the Gaussian standing wave, the radial oscillation will be weakened and the translational motion will be slowed down due to reduction of the pressure gradient regardless of the driving frequency. The results obtained in this study is of interest for an understanding of the bubble dynamics in non-plane acoustic wave fields.http://www.sciencedirect.com/science/article/pii/S1350417723004248Radial oscillationTranslational motionGas bubbleGaussian standing wave
spellingShingle Yuchen Zang
Radial and translational motions of a gas bubble in a Gaussian standing wave field
Ultrasonics Sonochemistry
Radial oscillation
Translational motion
Gas bubble
Gaussian standing wave
title Radial and translational motions of a gas bubble in a Gaussian standing wave field
title_full Radial and translational motions of a gas bubble in a Gaussian standing wave field
title_fullStr Radial and translational motions of a gas bubble in a Gaussian standing wave field
title_full_unstemmed Radial and translational motions of a gas bubble in a Gaussian standing wave field
title_short Radial and translational motions of a gas bubble in a Gaussian standing wave field
title_sort radial and translational motions of a gas bubble in a gaussian standing wave field
topic Radial oscillation
Translational motion
Gas bubble
Gaussian standing wave
url http://www.sciencedirect.com/science/article/pii/S1350417723004248
work_keys_str_mv AT yuchenzang radialandtranslationalmotionsofagasbubbleinagaussianstandingwavefield