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Second order perturbation solutions of profiles of bubbles suspended in liquid and liquid gas interfaces when liquid all sinks in the bottom under different accelerations are derived. Six procedures are developed based on these solutions,…

Soft Condensed Matter · Physics 2024-01-31 Shangtong Chen , Yong Gao , Wen Li , Fenglin Ding , Jintao Liu , Yong Li

When a mm-sized liquid drop approaches a deep liquid pool, both the interface of the drop and the pool deform before the drop touches the pool. The build up of air pressure prior to coalescence is responsible for this deformation. Due to…

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

The formation of a single bubble from an orifice in a solid surface, submerged in an in- compressible, viscous Newtonian liquid, is simulated. The finite element method is used to capture the multiscale physics associated with the problem…

Fluid Dynamics · Physics 2023-07-19 Jonathan A. Simmons , James E. Sprittles , Yulii D. Shikhmurzaev

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 investigate the gas jet breakup and the resulting microbubble formation in a microfluidic flow-focusing device using ultra high-speed imaging at 1 million frames/s. In recent experiments [Dollet et al., Phys. Rev. Lett. 100, 034504…

Fluid Dynamics · Physics 2011-10-21 Wim van Hoeve , Benjamin Dollet , Michel Versluis , Detlef Lohse

In this paper, we present a theoretical, experimental, and numerical study of the dynamics of cavitation bubbles inside a droplet suspended in another host fluid. On the theoretical side, we provided a modified Rayleigh collapse time and…

Fluid Dynamics · Physics 2024-01-02 Shuai Li , Zhesheng Zhao , A-Man Zhang , Rui Han

When an open tube of small diameter touches a bubble of a larger diameter, the bubble spontaneously shrinks and pushes a soap film in the tube. We characterize the dynamics for different bubble sizes and number of soap films in the tube. We…

Soft Condensed Matter · Physics 2023-06-29 Alexis Commereuc , Manon Marchand , Emmanuelle Rio , François Boulogne

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

The pinch-off of bubbles in viscoelastic liquids is a fundamental process that has received little attention compared to viscoelastic drop pinch-off. While these processes exhibit qualitative similarities, the dynamics of the pinch-off…

Soft Condensed Matter · Physics 2026-04-21 Coen I. Verschuur , Alexandros T. Oratis , Vatsal Sanjay , Jacco H. Snoeijer

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

When a water drop falls from a faucet, the drop is created with the formation of an axisymmetric constriction region, which thins down to breakup. Such formation of a fluid drop has been extensively studied as a representative of the…

Statistical Mechanics · Physics 2025-10-07 Ikumi Yoshino , Ko Okumura

Eternal inflation predicts our observable universe lies within a bubble (or pocket universe) embedded in a volume of inflating space. The interior of the bubble undergoes inflation and standard cosmology, while the bubble walls expand…

High Energy Physics - Theory · Physics 2010-05-12 Alex Dahlen

Geometry and mechanics have both a relevant role in determining the three-dimensional packing of 8 bubbles displyaed in a foam structure. We assume that the spatial arrangement of bubbles obeys a geometrical principle maximizing the minimum…

Soft Condensed Matter · Physics 2020-07-31 Giulia Bevilacqua

When a rising bubble in a Newtonian liquid reaches the liquid-air interface, it can burst, leading to the formation of capillary waves and a jet on the surface. Here, we numerically study this phenomenon in a yield stress fluid. We show how…

Fluid Dynamics · Physics 2023-06-22 Vatsal Sanjay , Detlef Lohse , Maziyar Jalaal

Numerical methods for the simulation of cavitation processes have been developed for more than 50 years. The rich variety of physical phenomena triggered by the collapse of a bubble has several applications in medicine and environmental…

Fluid Dynamics · Physics 2024-04-30 Mandeep Saini , Lucas Prouvost , Stephane Popinet , Daniel Fuster

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

The dynamics of rapidly collapsing bubbles are of great interest due to the high degree of energy focusing that occurs withing the bubble. Molecular dynamics provides a way to model the interior of the bubble and couple the gas dynamics…

Computational Physics · Physics 2013-06-27 Spenser Bauman , Max Fomitchev-Zamilov

Our universe may have formed via bubble nucleation in an eternally-inflating background. Furthermore, the background may have a compact dimension---the modulus of which tunnels out of a metastable minimum during bubble nucleation---which…

High Energy Physics - Theory · Physics 2014-11-21 Michael P. Salem

The inertial collapse of two interacting and non-translating spherical bubbles of equal size is considered. The exact analytic solution to the nonlinear ordinary differential equation that governs the bubble radii during collapse is first…

Fluid Dynamics · Physics 2021-02-11 Anthony Harkin , Adam Giammarese , Nathaniel S. Barlow , Steven J. Weinstein