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Related papers: Acoustic Cavitation using Resonating Micro-Bubbles…

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Through the application of layer potential techniques and Gohberg-Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole…

Analysis of PDEs · Mathematics 2016-03-15 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

This work provides a rigorous functional-analytic justification for a time-domain Foldy-Lax framework that describes multiple acoustic scattering by a cluster of dispersive resonators (modeling gas-filled bubbles), explicitly incorporating…

Analysis of PDEs · Mathematics 2025-12-02 Arpan Mukherjee , Mourad Sini

Using a nonlinear sound wave equation for a bubbly liquid in conjunction with an equation for bubble pulsation, we predict and experimentally demonstrate the appearance of a gap in the frequency spectrum of a sound wave propagating in a…

Fluid Dynamics · Physics 2017-04-05 Boya Miao , Yu An

The dynamics of bubble clouds induced by high-intensity focused ultrasound are investigated in a regime where the cloud size is similar to the ultrasound wavelength. High-speed images show that the cloud is asymmetrical; the bubbles nearest…

Fluid Dynamics · Physics 2019-02-20 Kazuki Maeda , Tim Colonius

A large-scale molecular dynamics (MD) simulation of acoustic cavitation in a simple liquid was performed using the supercomputer Fugaku. The system, consisting of approximately 100 billion atoms, was subjected to ultrasonic irradiation.…

Fluid Dynamics · Physics 2026-04-09 Yuta Asano

We study gravitational-wave production from bubble dynamics (bubble collisions and sound waves) during a cosmic first-order phase transition with an analytic approach. We first propose modeling the system with the thin-wall approximation…

High Energy Physics - Phenomenology · Physics 2021-09-14 Ryusuke Jinno , Masahiro Takimoto

The analysis of the secondary Bjerknes force between two bubbles suggests that this force is analogous to the electrostatic forces. The same analogy is suggested by the existence of a scattering cross section of an acoustic wave on a…

General Physics · Physics 2023-05-11 Ion Simaciu , Zoltan Borsos , Gheorghe Dumitrescu , Glauber T. Silva , Tiberiu Bărbat

Following some previous papers, we continue in this paper to give proof of the analogy between the acoustic world and the electromagnetic world. Hence we derive the expressions for: the scattering-scattering force (the electro-acoustic…

General Physics · Physics 2023-03-13 Ion Simaciu , Zoltan Borsos , Viorel Drafta , Gheorghe Dumitrescu

The aim of this paper is to provide a mathematical and numerical framework for the analysis and design of bubble meta-screens. An acoustic meta-screen is a thin sheet with patterned subwavelength structures, which nevertheless has a…

Analysis of PDEs · Mathematics 2016-08-10 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

Acoustic droplet vaporization denotes the phase-change of micron- and sub-micron-sized droplets upon the application of high-amplitude ultrasound. The asymmetric collapse of the incepted vapor bubbles within the droplets can give rise to…

Fluid Dynamics · Physics 2026-05-11 Anunay Prasanna , Samuele Fiorini , Gazendra Shakya , Outi Supponen

Self-oscillations underlie many natural phenomena such as heartbeat, ocean waves, and the pulsation of variable stars. From pendulum clocks to the behavior of animal groups, self-oscillation is one of the keys to the understanding of…

Microbubbles, either in the form of free gas bubbles surrounded by a fluid or encapsulated bubbles used currently as contrast agents for medical echography, exhibit complex dynamics under specific acoustic excitations. Nonetheless,…

Pattern Formation and Solitons · Physics 2023-05-09 Jennifer Chaline , Noé Jiménez , Ahmed Mehrem , Ayache Bouakaz , Serge Dos Santos , Víctor J. Sánchez-Morcillo

The Minneart resonance is a low frequency resonance in which the wavelength is much larger than the size of the resonators. It is interesting to study the interaction between two adjacent bubbles when they are brought close together.…

Analysis of PDEs · Mathematics 2023-05-24 Haigang Li , Yan Zhao

Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be…

Chaotic Dynamics · Physics 2008-01-15 Sohrab Behnia , Amin Jafari , Wiria Soltanpoor , Okhtai Jahanbakhsh

Ultrasonic irradiation of liquids, such as water-alcohol solutions, results in cavitation or the formation of small bubbles. Cavitation bubbles are generated in real solutions without the use of optical traps making our system as close to…

This paper considers acoustic scattering by and propagation through line and plane arrays of air-bubbles in liquid media. The self-consistent method is used to derive the effective scattering function of a single bubble embedded in the…

Classical Physics · Physics 2007-05-23 Zhen Ye

Microbubbles excited by acoustic fields inside water oscillate, and generate acoustic radiation forces and drag-induced acoustic streaming. These forces can be harnessed in various biomedical applications such as targeted drug delivery and…

Fluid Dynamics · Physics 2022-05-26 Amit Dolev , Murat Kaynak , Mahmut Selman Sakar

We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the asymptotic expansion of the scattered field as the size of…

Analysis of PDEs · Mathematics 2020-02-17 Mourad Sini , Haibing Wang , Qingyun Yao

Consider the dynamics of a gas bubble in an inviscid, compressible liquid with surface tension. Kinematic and dynamic boundary conditions couple the bubble surface deformation dynamics with the dynamics of waves in the fluid. This system…

Analysis of PDEs · Mathematics 2015-03-14 A. M. Shapiro , M. I. Weinstein

Space-time materials are obtained by modulating a physical medium with a traveling-wave perturbation of one or several of its constitutive parameters, such as the density or the bulk modulus in the case of acoustic materials. When this…

Materials Science · Physics 2026-02-10 J. Galiana , J. Redondo , R. Picó , V. J. Sánchez-Morcillo