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Motivated by the dynamics of microbubbles in dissolved gas flotation processes, we consider theoretically the approach between two shear-free spherical bubbles with time-dependent radii. We make use of the lubrication assumption to obtain…

Fluid Dynamics · Physics 2024-02-28 Jean-Lou Pierson

We show that repeated sound waves in the intracluster medium (ICM) can be excited by a single inflation episode of an opposite bubble pair. To reproduce this behavior in numerical simulations the bubbles should be inflated by jets, rather…

Astrophysics · Physics 2009-11-13 Assaf Sternberg , Noam Soker

Minnaert resonance is a well known physical phenomenon and it has many important applications, in particular in the effective realisation of acoustic metamaterials using bubbly mediums in recent years. In this paper, motived by the Minnaert…

Analysis of PDEs · Mathematics 2021-02-09 Hongjie Li , Hongyu Liu , Jun Zou

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

The authors introduce dynamics of multiple air bubbles exposed to ultrasonic wave while ascending in water in the present fluid dynamics video. The authors pay attention to the shape oscillation and the transition from the volume to the…

Fluid Dynamics · Physics 2009-10-23 Keishi Matsumoto , Ichiro Ueno

We present a theoretical analysis of the acoustic radiation force on a single small particle, either a thermoviscous fluid droplet or a thermoelastic solid particle, suspended in a viscous and heat-conducting fluid medium. Our analysis…

Fluid Dynamics · Physics 2016-02-02 Jonas Tobias Karlsen , Henrik Bruus

We present an analytical model for the frequency response of a gas microbubble oscillating near a spherical inclusion of arbitrary size and mechanical nature (rigid, fluid, or viscoelastic) immersed in a viscous compressible fluid. The…

Fluid Dynamics · Physics 2025-12-22 Thomas Micol , Alexander A. Doinikov , Cyril Mauger , Claude Inserra

The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency,…

Acoustic radiation force is a net force experienced by an object under the action of an acoustic wave. Most theoretical models require the acoustic wave to be periodic, if not purely monofrequency, and are therefore irrelevant for the study…

Fluid Dynamics · Physics 2021-04-28 Antoine Riaud , Qing Wang , Zhixiong Gong , Michael Baudoin , Jia Zhou

The linear natural and forced oscillations of a hemispherical bubble on a solid substrate are under theoretical consideration. The contact line dynamics is taken into account with the Hocking condition, which eventually leads to interaction…

Fluid Dynamics · Physics 2008-05-20 Sergey Shklyaev , Arthur V. Straube

The nonlinear dynamic behaviour of microscopic bubbles near a wall is investigated. The Keller-Miksis-Parlitz equation is adopted, but modified to account for the presence of the wall. This base model describes the time evolution of the…

Fluid Dynamics · Physics 2012-06-14 Sergey A. Suslov , Andrew Ooi , Richard Manasseh

The existing viscous and incompressible theory of isothermal sound propagation and attenuation in suspensions considers solid particles which are infinitely viscous. We extend the theory by applying the amended Coriolis flowmeter "bubble…

General Physics · Physics 2020-12-21 Nils T. Basse

We propose a low-dimensional modeling approach to simulate the dynamics, acoustic emissions and interactions of cavitation bubbles, based on a quasi-acoustic assumption. This quasi-acoustic assumption accounts for the compressibility of the…

Fluid Dynamics · Physics 2024-12-10 Pierre Coulombel , Fabian Denner

Acoustic wave front conjugation is studied in a sandy marine sediment that contains air bubbles in its fluid fraction. The considered phase conjugation is a four-wave nonlinear parametric sound interaction process caused by nonlinear bubble…

Soft Condensed Matter · Physics 2015-03-06 N. I. Pushkina

Key features of the mechanical response of amorphous particulate materials, such as foams, emulsions, and granular media, to applied stress are determined by the frequency and size of particle rearrangements that occur as the system…

Soft Condensed Matter · Physics 2017-06-23 K. Zhang , C. -C. Kuo , C. S. O'Hern , M. Dennin

When charged particles collide with a vacuum bubble, they can radiate strong electromagnetic waves due to rapid deceleration. Owing to the energy loss of the particles by this bremsstrahlung radiation, there is a non-negligible damping…

High Energy Physics - Theory · Physics 2013-08-22 Jae-Weon Lee , Kyungsub Kim , Chul H. Lee , Ji-ho Jang

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

Exploiting the full potential of MBs for applications requires a good understanding of their complex dynamics. Improved understanding of MB oscillations can lead to further enhancement in optimizing their efficacy in many applications and…

Applied Physics · Physics 2019-02-06 H. Haghi , AJ Sojahrood , M. C. Kolios

We present a theoretical expression for the acoustic interaction force between small spherical particles suspended in an ideal fluid exposed to an external acoustic wave. The acoustic interaction force is the part of the acoustic radiation…

Fluid Dynamics · Physics 2016-02-02 Glauber T. Silva , Henrik Bruus

The acoustic radiation force exerted on a small sphere located at the focus of an ultrasonic beam is measured in a soft gel. It is proved to evolve quadratically with the local amplitude of the acoustic field. Strong oscillations of the…

Soft Condensed Matter · Physics 2017-06-28 Pierre Lidon , Louis Villa , Nicolas Taberlet , Sébastien Manneville