Evidence map›Paper›PMID 41389476›Full record

ArticleUltrasonics sonochemistry2026

Radial oscillation of an encapsulated bubble near a planar rigid wall under dual-frequency acoustic excitation in viscoelastic fluids.

Yu-Chen Zang, Di-Chao Chen, Xing-Feng Zhu, Da-Jian Wu, Wei-Jun Lin

Abstract read
In one paragraph

Article in Ultrasonics sonochemistry, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Yu-Chen ZangInstitute of Acoustics, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China; State Key Laboratory of Acoustics and Marine Information, Chinese Academy of Sciences, Beijing 100190, China. Electronic address: zangyuchen@nnu.edu.cn.
Di-Chao ChenInstitute of Acoustics, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China.
Xing-Feng ZhuInstitute of Acoustics, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China.
Da-Jian WuInstitute of Acoustics, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China. Electronic address: wudajian@njnu.edu.cn.
Wei-Jun LinState Key Laboratory of Acoustics and Marine Information, Chinese Academy of Sciences, Beijing 100190, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Microbubbles play an important role in acoustic cavitation, power ultrasonics, and biomedical diagnosis and therapy. However, the influence of surrounding boundary conditions on the dynamic behaviors of an encapsulated bubble requires more in depth analysis and understanding. This study investigates the dynamic response of a lipid-coated bubble near a planar rigid wall in a viscoelastic fluid, which is transformed into a two-bubble model using the method of images. Assuming the excitation of a dual-frequency wave, the dynamic equation governing the radial oscillation is derived through combining the Rayleigh-Plesset model, the Marmottant model, and the Kelvin-Voigt model. Numerical computations are also performed for the instantaneous bubble radius in the time domain and the spectral amplitude in the frequency domain. Particular attention is paid to the pressure amplitude, the excited frequencies, the bubble-wall distance, the initial bubble radius as well as the elastic modulus and surface dilatational viscosity of the coating layer. The spectral peaks include the fundamental and higher-order resonance frequencies, accompanied by the sum frequency due to interaction between dual frequencies. The planar rigid wall significantly weakens the radial oscillation through suppressing the higher-order peaks in the frequency domain. The beating phenomenon occurs at two close frequencies with the oscillation amplitude changing periodically at the difference frequency. A longer bubble-wall distance corresponds to a weaker suppression effect of the bubble-wall interaction and thus enhances the radial oscillation. The maximum oscillation amplitude is achieved at the resonance radius but not necessarily the resonance elastic modulus of the coating layer. The findings may advantage in the design and optimization of microbubble-based systems across a wide range of applications such as ultrasonic cavitation and biomedical ultrasound.

Indexed as

Acoustic cavitationDual frequency acoustic excitationEncapsulated bubblePlanar rigid wallRadial oscillationViscoelastic fluids

Identifiers

PMID41389476
PMCPMC12765447

What Socratic holds

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LicenceCC BY-NC
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the Socratic graph.