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Related papers: Phenomenon of self-oscillation in bubble dynamics:…

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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

Bubbles under vibration can behave in unusual ways, e.g., moving downward against the force of buoyancy. While the bubble downward motion due to the Bjerknes force is well known at acoustic frequencies close to the bubble resonant…

Fluid Dynamics · Physics 2015-05-30 Tim O'Hern , Bion Shelden , John Torczynski

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

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

Nonlinear oscillations of a bubble carrying a constant charge and suspended in a fluid, undergoing periodic forcing due to incident ultrasound are studied. The system exhibits period-doubling route to chaos and the presence of charge has…

Chaotic Dynamics · Physics 2025-07-11 Thotreithem Hongray , B. Ashok , J. Balakrishnan

We consider the dynamics of monodisperse bubbly fluid confined by two plane solid walls and subjected to small-amplitude high-frequency transversal oscillations. The frequency these oscillations is assumed to be high in comparison with…

Fluid Dynamics · Physics 2015-05-13 Sergey Shklyaev , Arthur V. Straube

Transition frequencies of two spherical gas bubbles interacting in an acoustic field are discussed theoretically. In the present study, transition frequency is defined as the frequency of external sound for which the phase difference…

Fluid Dynamics · Physics 2007-05-23 Masato Ida

The non-linear dynamics of driven oscillations in the size of a spherical bubble are mapped to the dynamics of a Newtonian particle in a potential within the incompressible liquid regime. The compressible liquid regime, which is important…

Fluid Dynamics · Physics 2024-12-30 Uri Shimon , Ady Stern

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

Cavitation and bubble dynamics are central concepts in engineering, the natural sciences, and the mathematics of fluid mechanics. Due to the nonlinear nature of their dynamics, the governing equations are not fully solvable. Here, the…

Fluid Dynamics · Physics 2014-10-15 Alexander R. Klotz

We propose a novel mechanism leading to spatiotemporal oscillations in extended systems that does not rely on local bulk instabilities. Instead, oscillations arise from the interaction of two subsystems of different spatial dimensionality.…

Other Condensed Matter · Physics 2007-05-23 A. Gomez-Marin , J. Garcia-Ojalvo , J. M. Sancho

We study nonlinear dynamics in a system of two coupled oscillators, describing the motion of two interacting microbubble contrast agents. In the case of identical bubbles, the corresponding symmetry of the governing system of equations…

Dynamical Systems · Mathematics 2021-02-08 Ivan R. Garashchuk , Alexey O. Kazakov , Dmitry I. Sinelshchikov

Eigenfrequencies of two mutually interacting gas bubbles in an acoustic field are discussed theoretically and numerically. It is shown by a linear theory that a bubble interacting with a neighboring bubble has three eigenfrequencies that…

Fluid Dynamics · Physics 2007-05-23 Masato Ida

In this article, we numerically study the dynamics of a two-dimensional quasi-fluxon bubble in an oscillatory regime stabilized by a localized annular force under a rapidly oscillating microwave field. The bubble exhibits two distinctly…

Pattern Formation and Solitons · Physics 2025-05-19 Alicia G. Castro-Montes , Elram S. Figueroa , Juan F. Marín , Mónica A. García-Ñustes

We present experimental evidence that a bubble moving in a fluid in which a well-chosen acoustic noise is superimposed can be significantly slowed down for moderate acoustic pressures. Through mean velocity measurements, we show that a…

Fluid Dynamics · Physics 2015-05-18 Remi Dangla , Cedric Poulain

The interaction of multiple bubbles is a complex physical problem. A simplified case of multiple bubbles is studied theoretically with a bubble located at the center of a circular bubble cluster. All bubbles in the cluster are equally…

Fluid Dynamics · Physics 2023-02-23 A-Man Zhang , Shi-Min Li , Pu Cui , Shuai Li , Yun-Long Liu

Cavitation is a ubiquitous phenomenon in nature and bubble dynamics in open spaces have been widely studied, but the effects of the wall on the dynamics of cavitation bubbles in confined spaces are still unclear. Here, the dynamics of…

Fluid Dynamics · Physics 2024-12-17 Jinzhao Liu , Tianyou Wang , Zhizhao Che

We present a phenomenological model of the dynamics of buoyant bubbles in the atmosphere of a cluster of galaxies. The derived equations describe velocity, size, mass, temperature and density of the buoyant bubbles as functions of time…

Astrophysics · Physics 2007-09-13 Georgi Pavlovski , Christian R. Kaiser , Edward C. D. Pope

The non-stationary dynamics of a bouncing ball, comprising of both periodic as well as chaotic behavior, is studied through wavelet transform. The multi-scale characterization of the time series displays clear signature of self-similarity,…

Mathematical Physics · Physics 2015-06-15 Abhinna Kumar Behera , Prasanta K. Panigrahi , A. N. Sekar Iyengar

In these fluid dynamics videos, we show how bubbles flowing in a thin microchannel interact under an acoustic field. Because of acoustic interactions without direct contact, bubbles self-organize into periodic patterns, and spontaneously…

Fluid Dynamics · Physics 2010-10-18 P. Marmottant , D. Rabaud , P. Thibault , M. Mathieu
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