Bubbles within an elastic shell,which undergo ultrasound-driven oscillation to treat tumors and soft tissues,are frequently treated as viscoelastic media.Therefore,studying the dynamic behavior of bubbles wrapped in a...Bubbles within an elastic shell,which undergo ultrasound-driven oscillation to treat tumors and soft tissues,are frequently treated as viscoelastic media.Therefore,studying the dynamic behavior of bubbles wrapped in a viscoelastic medium while considering an elastic shell can provide theoretical support for ultrasound biotherapy.Bubbles are always in the form of clusters.Therefore,a model of spherical bubble clusters in a liquid cavity wrapped by an elastic shell was constructed,the coupled oscillation equations of bubbles were obtained by taking into account the dynamic effects of the elastic shell and the viscoelastic media outside the cavity,and the oscillation behaviors of the bubbles were analyzed.Acoustic waves at 1.5 MHz could cause bubbles with a radius of 1μm to resonate.Increasing the number of bubbles increased the suppressing effect of bubble oscillation caused by bubble interaction.The bubble cluster oscillation caused the elastic shell to oscillate and be stressed,and the stress trend was the inverse of the bubble oscillation trend with maximal tensile and compressive stresses.Bubbles with an equilibrium radius of 2μm exhibited the lowest inertial cavitation threshold,making inertial cavitation more likely under high-frequency acoustic excitation.The inertial cavitation threshold of bubbles was heavily influenced by the acoustic wave frequency,bubble number density,and bubble cluster radius.The nonspherical oscillation stability of bubbles was primarily affected by the driving acoustic pressure amplitude and frequency,bubble initial radius,bubble number density,and bubble cluster radius.The acoustic frequency and amplitude exhibited a synergistic effect,with a minimum unstable driving acoustic pressure threshold of approximately 0.13 MPa.The initial radius within the elastic shell affected the minimum unstable driving acoustic pressure threshold.展开更多
Spherical bubble oscillations are widely used to model cavitation phenomena in biomedical and naval hydrodynamic systems.During collapse,a sudden increase in surrounding pressure initiates the collapse of a cavitation...Spherical bubble oscillations are widely used to model cavitation phenomena in biomedical and naval hydrodynamic systems.During collapse,a sudden increase in surrounding pressure initiates the collapse of a cavitation bubble,followed by a rebound driven by the high internal gas pressure.While the ideal gas equation of state(EOS)is commonly used to describe the internal pressure and temperature of the bubble,it is limited in its capacity to capture molecular-level effects under highly compressed conditions.In the present study,we employ non-ideal EOS for the gas(the van der Waals EOS and its volume-limited case)to investigate bubble oscillations with a focus on energy redistribution.Bubble oscillation is modeled in two phases:collapse,described by the Keller−Miksis formulation,and rebound,where peak shock pressure is estimated using similitude-based relations.To assess the role of EOS in energy redistribution,we introduce a framework that quantifies energy components in the bubble−liquid system while conserving total energy,tailored to each EOS.Using this framework,we evaluate energy concentration,acoustic radiation,and shock propagation and statistically analyze their dependence on both the driving pressure and the EOS of gas.We statistically derive scaling relations of key bubble dynamics quantities,energy concentration and radiation,and shock pressure using the driving pressure ratio.This work provides a generalizable framework and set of scaling relations for predicting bubble dynamics and energy transfer,with potential applications in evaluating the impacts of cavitation phenomena in complex practical systems.展开更多
The compressibility of fluids has a profound influence on oscillating bubble dynamics,as characterized by the Mach number.However,current theoretical frameworks for bubbles,whether at the first or second order of the ...The compressibility of fluids has a profound influence on oscillating bubble dynamics,as characterized by the Mach number.However,current theoretical frameworks for bubbles,whether at the first or second order of the Mach number,are primarily confined to scenarios characterized by weak compressibility.Thus,a critical need to elucidate the precise range of applicability for both first-and second-order bubble theories arises.Herein,we investigate the suitability and constraints of bubble theories with different orders through a comparative analysis involving experimental data and numerical simulations.The focal point of our investigation encompasses theories such as the Rayleigh–Plesset,Keller,Herring,and second-order bubble equations.Furthermore,the impact of parameters inherent in the second-order equations is examined.For spherical oscillating bubble dynamics in a free field,our findings reveal that the first-and second-order bubble theories are applicable when Ma≤0.3 and 0.4,respectively.For a single sonoluminescence bubble,we define an instantaneous Mach number,Mai.The second-order theory shows abnormal sensibility when Mai is high,which is negligible when Mai≤0.4.The results of this study can serve as a valuable reference for studying compressible bubble dynamics.展开更多
Direct numerical simulations are performed to study single gas/vapor bubble and spherical bubble clusters containing 13–352 vapor bubbles in compressible flow fields.The numerical results show that the single cavitat...Direct numerical simulations are performed to study single gas/vapor bubble and spherical bubble clusters containing 13–352 vapor bubbles in compressible flow fields.The numerical results show that the single cavitation bubble keeps spherical during the collapse process,and the far-field acoustic pressure calculated by the Ffowcs William-Hawkings(FW-H)formulation is basically consistent with the analytical solution obtained based on the volume acceleration calculation.However,the spherical bubble cluster collapses layer by layer due to the strong coupling between bubbles.The closer to the center of the bubble cluster,the shorter the collapse time and the stronger the non-spherical deformation.The collapse of a bubble cluster would generate multiple acoustic pressure peaks,which cannot be accurately predicted by the volume fluctuation sound source theory.The size and volume fraction of the bubble cluster have a significant influence on the collapse time and the distribution of sound pressure.We found that when the volume fraction of a bubble cluster is large,the total collapse time is basically the same as that of its corresponding single bubble with the equal volume.The frequency distribution of sound pressure of a dense bubble cluster is also close to that of its corresponding single bubble.In addition,we found that a bubble cluster with randomly distributed bubble diameters collapses asymmetrically and rebounds in the late stage of the collapse process.The above study reveals part of the mechanism of bubble cluster collapse and sound generation,and provides a theoretical basis for the establishment of cavitation noise model.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12374441)。
文摘Bubbles within an elastic shell,which undergo ultrasound-driven oscillation to treat tumors and soft tissues,are frequently treated as viscoelastic media.Therefore,studying the dynamic behavior of bubbles wrapped in a viscoelastic medium while considering an elastic shell can provide theoretical support for ultrasound biotherapy.Bubbles are always in the form of clusters.Therefore,a model of spherical bubble clusters in a liquid cavity wrapped by an elastic shell was constructed,the coupled oscillation equations of bubbles were obtained by taking into account the dynamic effects of the elastic shell and the viscoelastic media outside the cavity,and the oscillation behaviors of the bubbles were analyzed.Acoustic waves at 1.5 MHz could cause bubbles with a radius of 1μm to resonate.Increasing the number of bubbles increased the suppressing effect of bubble oscillation caused by bubble interaction.The bubble cluster oscillation caused the elastic shell to oscillate and be stressed,and the stress trend was the inverse of the bubble oscillation trend with maximal tensile and compressive stresses.Bubbles with an equilibrium radius of 2μm exhibited the lowest inertial cavitation threshold,making inertial cavitation more likely under high-frequency acoustic excitation.The inertial cavitation threshold of bubbles was heavily influenced by the acoustic wave frequency,bubble number density,and bubble cluster radius.The nonspherical oscillation stability of bubbles was primarily affected by the driving acoustic pressure amplitude and frequency,bubble initial radius,bubble number density,and bubble cluster radius.The acoustic frequency and amplitude exhibited a synergistic effect,with a minimum unstable driving acoustic pressure threshold of approximately 0.13 MPa.The initial radius within the elastic shell affected the minimum unstable driving acoustic pressure threshold.
基金supported by Institute of Information&Communications Technology Planning&Evaluation(IITP)grant funded by the Korea government(MSIT)(No.RS-2022-00155966Artificial Intelligence Convergence Innovation Human Resources Development(EwhaWomans University)).
文摘Spherical bubble oscillations are widely used to model cavitation phenomena in biomedical and naval hydrodynamic systems.During collapse,a sudden increase in surrounding pressure initiates the collapse of a cavitation bubble,followed by a rebound driven by the high internal gas pressure.While the ideal gas equation of state(EOS)is commonly used to describe the internal pressure and temperature of the bubble,it is limited in its capacity to capture molecular-level effects under highly compressed conditions.In the present study,we employ non-ideal EOS for the gas(the van der Waals EOS and its volume-limited case)to investigate bubble oscillations with a focus on energy redistribution.Bubble oscillation is modeled in two phases:collapse,described by the Keller−Miksis formulation,and rebound,where peak shock pressure is estimated using similitude-based relations.To assess the role of EOS in energy redistribution,we introduce a framework that quantifies energy components in the bubble−liquid system while conserving total energy,tailored to each EOS.Using this framework,we evaluate energy concentration,acoustic radiation,and shock propagation and statistically analyze their dependence on both the driving pressure and the EOS of gas.We statistically derive scaling relations of key bubble dynamics quantities,energy concentration and radiation,and shock pressure using the driving pressure ratio.This work provides a generalizable framework and set of scaling relations for predicting bubble dynamics and energy transfer,with potential applications in evaluating the impacts of cavitation phenomena in complex practical systems.
基金Supported by the Natural Science Foundation of China under Grant No.12372239the Natural Science Foundation of Heilongjiang Province under Grant No.YQ2022E017。
文摘The compressibility of fluids has a profound influence on oscillating bubble dynamics,as characterized by the Mach number.However,current theoretical frameworks for bubbles,whether at the first or second order of the Mach number,are primarily confined to scenarios characterized by weak compressibility.Thus,a critical need to elucidate the precise range of applicability for both first-and second-order bubble theories arises.Herein,we investigate the suitability and constraints of bubble theories with different orders through a comparative analysis involving experimental data and numerical simulations.The focal point of our investigation encompasses theories such as the Rayleigh–Plesset,Keller,Herring,and second-order bubble equations.Furthermore,the impact of parameters inherent in the second-order equations is examined.For spherical oscillating bubble dynamics in a free field,our findings reveal that the first-and second-order bubble theories are applicable when Ma≤0.3 and 0.4,respectively.For a single sonoluminescence bubble,we define an instantaneous Mach number,Mai.The second-order theory shows abnormal sensibility when Mai is high,which is negligible when Mai≤0.4.The results of this study can serve as a valuable reference for studying compressible bubble dynamics.
基金supported by the National Natural Science Foundation of China(Grant No.12272343)the State Key Program of National Natural Science of China(Grant Grant No.91852204).
文摘Direct numerical simulations are performed to study single gas/vapor bubble and spherical bubble clusters containing 13–352 vapor bubbles in compressible flow fields.The numerical results show that the single cavitation bubble keeps spherical during the collapse process,and the far-field acoustic pressure calculated by the Ffowcs William-Hawkings(FW-H)formulation is basically consistent with the analytical solution obtained based on the volume acceleration calculation.However,the spherical bubble cluster collapses layer by layer due to the strong coupling between bubbles.The closer to the center of the bubble cluster,the shorter the collapse time and the stronger the non-spherical deformation.The collapse of a bubble cluster would generate multiple acoustic pressure peaks,which cannot be accurately predicted by the volume fluctuation sound source theory.The size and volume fraction of the bubble cluster have a significant influence on the collapse time and the distribution of sound pressure.We found that when the volume fraction of a bubble cluster is large,the total collapse time is basically the same as that of its corresponding single bubble with the equal volume.The frequency distribution of sound pressure of a dense bubble cluster is also close to that of its corresponding single bubble.In addition,we found that a bubble cluster with randomly distributed bubble diameters collapses asymmetrically and rebounds in the late stage of the collapse process.The above study reveals part of the mechanism of bubble cluster collapse and sound generation,and provides a theoretical basis for the establishment of cavitation noise model.
