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Related papers: Ostwald ripening of aqueous microbubble solutions

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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 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

We use high-speed X-ray phase-contrast imaging, weakly nonlinear analysis and boundary integral simulations to characterize the final stage of underwater bubble break-up. The X-ray imaging study shows that an initial azimuthal perturbation…

Fluid Dynamics · Physics 2013-07-25 Lipeng Lai , Nathan C. Keim , Kamel Fezzaa , Wendy W. Zhang , Sidney R. Nagel

We investigate bubble deformations in an homogeneous and isotropic turbulent flow by means of direct numerical simulations of a single bubble in turbulence. We examine interface deformations by decomposing the local radius into the…

Fluid Dynamics · Physics 2024-07-24 Aliénor Rivière , Kamel Abahri , Stéphane Perrard

We utilize total-internal reflection to isolate the two-dimensional `surface foam' formed at the planar boundary of a three-dimensional sample. The resulting images of surface Plateau borders are consistent with Plateau's laws for a truly…

Soft Condensed Matter · Physics 2014-11-12 A. E. Roth , B. G. Chen , D. J. Durian

An exact solution is developed for the bubble-induced acoustic microstreaming in the case of a gas bubble undergoing asymmetric oscillations. The modeling is based on the decomposition of the solenoidal, first- and second-order, vorticity…

Fluid Dynamics · Physics 2025-05-14 Claude Inserra , Cyril Mauger , Philippe Blanc-Benon , Alexander A. Doinikov

Ultrasound is known to enhance surface bubble growth and removal in catalytic and microfluidic applications, yet the contributions of rectified diffusion and microstreaming phenomena towards mass transfer remain unclear. We quantify the…

Solutions of LiCl and of NaCl in ultrapure water were studied through Rayleigh/Brillouin scattering as a function of the concentration (molarity, M) of dissolved salt from 0.2M to extremely low concentration (2.10^-17 M ). The…

Soft Condensed Matter · Physics 2017-08-23 Eugene Duval , Sergey Adichtchev , Sergey Sirotkin , Alain Mermet

In this paper we study nonlinear problems for Ornstein-Uhlenbeck operators \begin{align*} A\triangle v(x) + \left\langle Sx,\nabla v(x)\right\rangle + f(v(x)) = 0,\,x\in\mathbb{R}^d,\,d\geqslant 2, \end{align*} where the matrix…

Analysis of PDEs · Mathematics 2016-02-11 Wolf-Jürgen Beyn , Denny Otten

We consider the interior Stefan problem under radial symmetry in two dimension. A water ball surrounded by ice undergoes melting or freezing. We construct a discrete family of global-in-time solutions, both melting and freezing scenarios.…

Analysis of PDEs · Mathematics 2025-06-17 Jeongheon Park

We study the dynamics of a gas bubble in a fluid with surface tension, initially near a spherical equilibrium. While there are many studies and applications of radial bubble dynamics, the theory of general deformations from a spherical…

Analysis of PDEs · Mathematics 2024-08-08 Chen-Chih Lai , Michael I. Weinstein

We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

Analysis of PDEs · Mathematics 2016-04-29 Habib Ammari , Hai Zhang

Flow boiling within microchannels is an efficient heat removal mechanism by utilizing the latent heat of the fluid. Numerical simulations can resolve the small temporal and spatial scales of the vapor bubbles in the flow boiling process,…

Fluid Dynamics · Physics 2025-04-22 Odumuyiwa A. Odumosu , Huashi Xu , Tianyou Wang , Zhizhao Che

A microscopic bubble of soluble gas always dissolves in finite time in an under-saturated fluid. This diffusive process is driven by the difference between the gas concentration near the bubble, whose value is governed by the internal…

Fluid Dynamics · Physics 2018-03-21 Sébastien Michelin , Etienne Guérin , Eric Lauga

Viscoelastic materials containing bubbles or drops are encountered in numerous application fields, and are presently the object of much interest. The motion of bubbles and drops in these matrices can be significantly different than in…

Soft Condensed Matter · Physics 2023-03-17 Dominique Langevin

The prediction of the lifetime of surface bubbles necessitates a better understanding of the thinning dynamics of the bubble cap. In 1959, Mysel \textit{et al.} \cite{mysels1959soap}, proposed that \textit{marginal regeneration} i.e. the…

Fluid Dynamics · Physics 2021-10-13 Jonas Miguet , Marina Pasquet , Florence Rouyer , Yuan Fang , Emmanuelle Rio

When two bubbles submerged in a liquid are brought closely together, the intermediate liquid film separating the bubbles begins to drain. Once the film ruptures, the bubbles coalesce and form a neck that expands with time. The dynamics of…

Fluid Dynamics · Physics 2023-05-03 Alexandros T. Oratis , Vincent Bertin , Jacco H. Snoeijer

Surface bubbles have attracted much interest in the past decades. In this article, we propose to explore the lifetime and thinning dynamics of centimetric surface bubbles. We study the impact of the bubbles size as well as that of the…

Soft Condensed Matter · Physics 2020-05-28 Jonas Miguet , Marina Pasquet , Florence Rouyer , Yuan Fang , Emmanuelle Rio

Ultrasound-driven microbubbles are increasingly being investigated for both molecular imaging and therapeutic applications. To be effective, these bubbles must be brought into close proximity or direct contact with the target site.…

Fluid Dynamics · Physics 2026-02-10 Marco Cattaneo , Outi Supponen

Oscillons are localised long-lived pulsating states in the three-dimensional $\phi^4$ theory. We gain insight into the spatio-temporal structure and bifurcation of the oscillons by studying time-periodic solutions in a ball of a finite…

High Energy Physics - Theory · Physics 2023-05-03 N. V. Alexeeva , I. V. Barashenkov , A. A. Bogolubskaya , E. V. Zemlyanaya