A single oscillating bubble in liquids with high Mach number

Zheng, Xiaoxiao; Wang, Xiaoyu; Zhang, Yuning

doi:10.1016/j.ultsonch.2022.105985

Cited by 12 publications

(4 citation statements)

References 47 publications

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“…They showed that above approximately the Mach number of 0.59, the predicted energy dissipation deviates from the Keller-Miksis predictions and thus the influence of the liquid compressibility should be fully considered for proper modeling. It is estimated that, at higher Mach numbers (>0.59-1 89,91,92 ), higher order liquid compressibility effects dampen further the bubble oscillations, thus the attenuation will be smaller than the value as predicted by the Keller-Miksis equation. When using the nonlinear model, for more accurate predictions, above Mach numbers between 0.59-1, radial oscillations should be calculated using the Glimore equation or models that include the higher order compressibility terms.…”

Section: Low Mach Numbers In Experimentsmentioning

confidence: 93%

“…When the bubble wall velocity exceeds that of the water sound speed, either corrections to the Keller-Miksis equation should be applied 91,92 or Glimore equation should be used as it has a higher validity range up to | Ṙ| c < 2.2 125 . Zheng et al 89 included the second-order compressibility terms in the simulation of the bubble oscillations. They showed that above approximately the Mach number of 0.59, the predicted energy dissipation deviates from the Keller-Miksis predictions and thus the influence of the liquid compressibility should be fully considered for proper modeling.…”

Section: Low Mach Numbers In Experimentsmentioning

confidence: 99%

See 1 more Smart Citation

Probing the pressure dependence of sound speed and attenuation in bubbly media: Experimental observations, a theoretical model and numerical calculations

Sojahrood¹,

Li²,

Haghi³

et al. 2022

Preprint

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The problem of attenuation and sound speed of bubbly media has remained partially unsolved. Comprehensive data regarding pressure-dependent changes of the attenuation and sound speed of a bubbly medium are not available. Our theoretical understanding of the problem is limited to linear or semi-linear theoretical models, which are not accurate in the regime of large amplitude bubble oscillations. Here, by controlling the size of the lipid coated bubbles (mean diameter of ≈5.4µm), we report the first time observation and characterization of the simultaneous pressure dependence of sound speed and attenuation in bubbly water below, at and above MBs resonance (frequency range between 1-3MHz). With increasing acoustic pressure (between 12.5-100kPa), the frequency of the attenuation and sound speed peaks decreases while maximum and minimum amplitudes of the sound speed increase. We propose a nonlinear model for the estimation of the pressure dependent sound speed and attenuation with good agreement with the experiments. The model calculations are validated by comparing with the linear and semi-linear models predictions. One of the major challenges of the previously developed models is the significant overestimation of the attenuation at the bubble resonance at higher void fractions (e.g. 0.005). We addressed this problem by incorporating bubble-bubble interactions and comparing the results to experiments. Influence of the bubble-bubble interactions increases with increasing pressure. Within the examined exposure parameters, we numerically show that, even for low void fractions (e.g. 5.1×10 −6 ) with increasing pressure the sound speed may become 4 times higher than the sound speed in the non-bubbly medium.

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Section: Low Mach Numbers In Experimentsmentioning

confidence: 93%

Section: Low Mach Numbers In Experimentsmentioning

confidence: 99%

Probing the pressure dependence of sound speed and attenuation in bubbly media: Experimental observations, a theoretical model and numerical calculations

Sojahrood¹,

Li²,

Haghi³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Due to the Keller-Miksis equation only having compressibility terms accurate to first order, this model is only valid for Mach numbers

. In this work, this should be adequate as the acoustic pressures barely exceed the Blake threshold, but if compressibility is important, the KME should be replaced by a model with higher order terms, for example [38] . Temporal integration is calculated using the Tsitouras 5/4 Runge-Kutta algorithm (Tsit5) provided by the DifferentialEquations.jl library [39] .…”

Section: Modelling Approachmentioning

confidence: 99%

Comparison of frequency domain and time domain methods for the numerical simulation of contactless ultrasonic cavitation

Beckwith

Djambazov

Pericleous

et al. 2022

Ultrasonics Sonochemistry

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“…Due to the Keller-Miksis equation only having compressibility terms accurate to first order, this model is only valid for Mach numbers Ṙ/c≪1. In this work, this should be adequate as the acoustic pressures barely exceed the Blake threshold, but if compressibility is important, the KME should be replaced by a model with higher order terms, for example [38]. Temporal integration is calculated using the Tsitouras 5/4 Runge-Kutta algorithm (Tsit5) provided by the Differ-entialEquations.jl library [39].…”

Section: ∇(mentioning

confidence: 99%

Comparison of Frequency Domain and Time Domain Methods for the Numerical Simulation of Contactless Ultrasonic Cavitation

et al. 2022

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A single oscillating bubble in liquids with high Mach number

Cited by 12 publications

References 47 publications

Probing the pressure dependence of sound speed and attenuation in bubbly media: Experimental observations, a theoretical model and numerical calculations

Probing the pressure dependence of sound speed and attenuation in bubbly media: Experimental observations, a theoretical model and numerical calculations

Comparison of frequency domain and time domain methods for the numerical simulation of contactless ultrasonic cavitation

Comparison of Frequency Domain and Time Domain Methods for the Numerical Simulation of Contactless Ultrasonic Cavitation

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