Pulsation of bubbles in the viscoelastic medium under dual-frequency ultrasound

IF 8.7 1区化学 Q1 ACOUSTICS

Ultrasonics Sonochemistry Pub Date : 2025-04-12 DOI:10.1016/j.ultsonch.2025.107344

Yu Wang , Dehua Chen , Pengfei Wu

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Abstract

The pulsation of bubbles under dual-frequency ultrasound is closely associated with their application in medical diagnostics. In this study, we derive the analytical solution of the bubble dynamic equations in viscoelastic media under dual-frequency ultrasound and compare it with numerical solutions. The effects of the surrounding medium’s viscoelasticity, bubble equilibrium radius, incident acoustic frequency, and incident sound pressure ratio on the bubble pulsation and its scattered acoustic waves are analyzed. The results demonstrate consistency between the analytical and numerical solutions. Moreover, our analytical solution reveals that an increase in medium viscosity leads to a decrease in the amplitude of bubble pulsation, even at resonance frequency. Additionally, when the sound pressure ratio is 1, both the difference frequency and sum frequency exhibit maximum amplitude in the spectrum of instantaneous bubble radius. Furthermore, for resonance approximation in sparse bubble cluster detection using sum and difference frequencies, it is necessary for incident frequency f₁ to be greater than twice the resonance frequency of the smallest bubble within the cluster.

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双频超声作用下粘弹性介质中气泡的脉动

双频超声下气泡的脉动与双频超声在医学诊断中的应用密切相关。本文推导了双频超声作用下粘弹性介质中气泡动力学方程的解析解，并与数值解进行了比较。分析了周围介质的粘弹性、气泡平衡半径、入射声频和入射声压比对气泡脉动及其散射声波的影响。结果证明了解析解与数值解的一致性。此外，我们的解析解表明，介质粘度的增加导致气泡脉动幅度的减小，即使在共振频率下也是如此。当声压比为1时，瞬时气泡半径谱的差频和和频幅值均最大。此外，为了在稀疏泡簇检测中使用和频和差频进行共振近似，入射频率f1必须大于簇内最小泡的共振频率的两倍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ultrasonics Sonochemistry 化学-化学综合

CiteScore

15.80

自引率

11.90%

发文量

361

审稿时长

59 days

期刊介绍： Ultrasonics Sonochemistry stands as a premier international journal dedicated to the publication of high-quality research articles primarily focusing on chemical reactions and reactors induced by ultrasonic waves, known as sonochemistry. Beyond chemical reactions, the journal also welcomes contributions related to cavitation-induced events and processing, including sonoluminescence, and the transformation of materials on chemical, physical, and biological levels. Since its inception in 1994, Ultrasonics Sonochemistry has consistently maintained a top ranking in the "Acoustics" category, reflecting its esteemed reputation in the field. The journal publishes exceptional papers covering various areas of ultrasonics and sonochemistry. Its contributions are highly regarded by both academia and industry stakeholders, demonstrating its relevance and impact in advancing research and innovation.