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We comprehensively study the effects of bubble wall thickness and speed on the gravitational wave emission spectrum of collisions of two vacuum bubbles. We numerically simulate a large dynamical range, making use of symmetry to reduce the…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-16 Oliver Gould , Satumaaria Sukuvaara , David Weir

Using a self-similar approach a general nonsteady theory is elaborated for the case of the diffusion growth of a gas bubble in a supersaturated solution of gas in liquid. Due to the fact that the solution and the bubble in it are physically…

Statistical Mechanics · Physics 2009-06-25 A. P. Grinin , F. M. Kuni , G. Yu. Gor

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

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

The present paper considers the full nonlinear dynamics of a homogeneous bubble inside an unbounded isentropic compressible inviscid liquid. This model is described by a free-boundary problem of compressible Euler equations with nonlinear…

Analysis of PDEs · Mathematics 2025-03-12 Liangchen Zou

Drag reduction by microbubbles is a promising engineering method for improving ship performance. A fundamental theory of the phenomenon is lacking however, making actual design quite uphazard. We offer here a theory of drag reduction by…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich

Nonlinear waves in a liquid with gas bubbles are studied. Higher order terms with respect to the small parameter are taken into account in the derivation of the equation for nonlinear waves. A nonlinear differential equation is derived for…

Pattern Formation and Solitons · Physics 2013-07-09 Nikolai A. Kudryashov , Dmitry I. Sinelshchikov

We numerically study the system of rapidly rotating Bose atoms at the filling factor (ratio of particle number to vortex number) $\nu=1$ with the dipolar interaction. A moderate dipolar interaction stabilizes the incompressible quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hidetsugu Seki , Kazusumi Ino

The coalescence of two liquid drops surrounded by a viscous gas is considered in the framework of the conventional model. The problem is solved numerically with particular attention to resolving the very initial stage of the process which…

Fluid Dynamics · Physics 2015-06-22 James E. Sprittles , Yulii D. Shikhmurzaev

The accurate description of the growth or dissolution dynamics of a soluble gas bubble in a super- or undersaturated solution requires taking into account a number of physical effects that contribute to the instantaneous mass transfer rate.…

Multi-fractal scaling in the transition to the dissipative regime for fully-developed compressible turbulence is considered. The multi-fractal power law scaling behavior breaks down for very small length scales thanks to viscous effects.…

Fluid Dynamics · Physics 2010-01-07 B. K. Shivamoggi

We study the incompressible limit of the porous medium equation with a reaction term that is non-monotone with respect to the pressure variable. More specifically we consider reaction terms that are either bistable or monostable. We show…

Analysis of PDEs · Mathematics 2022-08-22 Inwon Kim , Antoine Mellet

Presented here are experiments clarifying how the deformation of cavitation bubbles affects their rebound. Rebound bubbles carry the remaining energy of a bubble following its initial collapse, which dissipates energy mainly through shock…

Fluid Dynamics · Physics 2018-10-30 Outi Supponen , Danail Obreschkow , Mohamed Farhat

The rupture of the thin film at the top of a bubble floating at a liquid-gas interface leads to the axisymmetric collapse of the bubble cavity. We present scaling laws for such a cavity collapse, established from experiments conducted with…

Fluid Dynamics · Physics 2023-04-06 Sangeeth Krishnan , Baburaj A. Puthenveettil , Emil J. Hopfinger

For a gas confined in a container, particle-wall interactions produce modifications to the partition function involving the average surface density of gas particles. While such correlations have a vanishing effect in the thermodynamic…

Classical Physics · Physics 2026-03-04 Prabal Adhikari , Brian Tiburzi , Sona Baghiyan

The study of vapor bubble growth following droplet vaporization in a superheated liquid involves research areas such as hydrodynamics, heat transfer, mass transfer, and thermodynamics. The interplay between these multiscale aspects is…

Fluid Dynamics · Physics 2024-04-29 Muhammad Saeed Saleem , Michel Versluis , Guillaume Lajoinie

The volume fluctuations in the steady state reached by a vibrated granular gas of hard particles confined by a movable piston on the top are investigated by means of event driven simulations. Also, a compressibility factor, measuring the…

Statistical Mechanics · Physics 2015-05-18 J. Javier Brey , M. J. Ruiz-Montero

I briefly review a recent series of papers putting forward a coarse-grained theoretical approach to the physics of supercooled liquids approaching their glass transition. After a suitable coarse-graining, the dynamics of the liquid is…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

Enhancing the efficiency of water electrolysis, which can be severely impacted by the nucleation and growth of bubbles, is key in the energy transition. In this combined experimental and numerical study, in-situ bubble evolution and…

We propose a model to describe an evolution of a bubble cluster with rupture. In a special case, the equation is reduced to a single parabolic equation with evaporation for the thickness of a liquid layer covering bubbles. We postulate that…

Analysis of PDEs · Mathematics 2023-08-10 Yoshikazu Giga , Yuki Ueda