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A theoretical expression for the drag on a spherical bubble is derived for the entire range from very viscous to inertial flow conditions. It is based on a solution for only that part of the velocity profile that determines the drag. It is…

Fluid Dynamics · Physics 2022-04-08 Qiang Sun , Evert Klaseboer

We investigate the modes of deformation of an initially spherical bubble immersed in a homogeneous and isotropic turbulent background flow. We perform direct numerical simulations of the two-phase incompressible Navier-Stokes equations,…

Fluid Dynamics · Physics 2021-07-07 Stéphane Perrard , Aliénor Rivière , Wouter Mostert , Luc Deike

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.…

In first-order cosmological phase transitions, the asymptotic velocity of expanding bubbles is of crucial relevance for predicting observables like the spectrum of stochastic gravitational waves, or for establishing the viability of…

High Energy Physics - Phenomenology · Physics 2021-03-22 Shyam Balaji , Michael Spannowsky , Carlos Tamarit

We perform real-time hydrodynamical simulations of the growth of bubbles formed during cosmological first-order phase transitions under the assumption of local thermal equilibrium. We confirm that pure hydrodynamic backreaction can lead to…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-08 Tomasz Krajewski , Marek Lewicki , Mateusz Zych

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

We investigate by direct numerical simulations the flow that rising bubbles cause in an originally quiescent fluid. We employ the Eulerian-Lagrangian method with two-way coupling and periodic boundary conditions. In order to be able to…

Fluid Dynamics · Physics 2009-12-29 Irene Mazzitelli , Detlef Lohse

We investigate the Navier-Stokes turbulence driven by a stochastic random Gaussian force. Using a field-theoretic approach, we uncover an anomaly that brings hidden structure to the theory. The anomaly is generated by a non-self-adjoint…

Fluid Dynamics · Physics 2023-10-24 Timo Aukusti Laine

In this work, we study the well-posedness of a system of partial differential equations that model the dynamics of a two-dimensional Stokes bubble immersed in two-dimensional ambient Stokes fluid of the same viscosity that extends to…

Analysis of PDEs · Mathematics 2024-06-13 Jae Ho Choi

The study of gas bubble dynamics in liquids is justified by the numerous applications and natural phenomena where this two-phase flow is encountered. Gas bubbles move as forces are applied to them; their dynamics are full of nuances that…

Fluid Dynamics · Physics 2025-01-07 Dominique Legendre , Roberto Zenit

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…

This paper investigates the relationship between the contact angle of a spherical bubble attached to a tube submerged in a container and the jet speed induced by an impulsive acceleration at its base. While it has been well established that…

Fluid Dynamics · Physics 2026-02-04 Hiroyuki Miyoshi , Hiroya Watanabe , Ishin Kikuchi , Yoshiyuki Tagawa

Recently Pasetto et al. have proposed a new method to derive a convection theory appropriate for the implementation in stellar evolution codes. Their approach is based on the simple physical picture of spherical bubbles moving within a…

Solar and Stellar Astrophysics · Physics 2016-03-09 Marcelo M. Miller Bertolami , Maxime Viallet , Vincent Prat , Wasilij Barsukow , Achim Weiss

A novel theoretical model for bubble dynamics is established that simultaneously accounts for the liquid compressibility, phase transition, oscillation, migration, ambient flow field, etc. The bubble dynamics equations are presented in a…

Fluid Dynamics · Physics 2024-11-05 A-Man Zhang , Shi-Min Li , Run-Ze Xu , Shao-Cong Pei , Shuai Li , Yun-Long Liu

In this work, we established a novel theory for the dynamics of oscillating bubbles such as cavitation bubbles, underwater explosion bubbles, and air bubbles. For the first time, we proposed bubble dynamics equations that can simultaneously…

Fluid Dynamics · Physics 2024-12-24 A-Man Zhang , Shi-Min Li , Pu Cui , Shuai Li , Yun-Long Liu

The present paper considers a homogeneous bubble inside an unbounded polytropic compressible liquid with viscosity. The system is governed by the Navier-Stokes equation with free boundary which is determined by the kinematic and dynamic…

Analysis of PDEs · Mathematics 2022-12-02 Lifeng Zhao , Liangchen Zou

The buoyant rise of thermals (i.e. bubbles of enhanced entropy, but initially in pressure equilibrium) is investigated numerically in three dimensions for the case of an adiabatically stratified layer covering 6-9 pressure scale heights. It…

Astrophysics · Physics 2009-10-31 Axel Brandenburg , John Hazlehurst

It is well known that the fluid-particle acceleration is intimately related to the dissipation rate of turbulence, in line with the Kolmogorov assumptions. On the other hand, various experimental and numerical works have reported as well…

Fluid Dynamics · Physics 2022-08-22 Rémi Zamansky

A small, spherical bubble of high internal pressure is inserted into water at constant ambient pressure as a model of a laser-induced bubble. Its subsequent dynamics near a flat solid boundary is studied in dependence on the distance of the…

Fluid Dynamics · Physics 2020-09-30 Christiane Lechner , Werner Lauterborn , Max Koch , Robert Mettin

The impact of turbulent fluctuations on the forces exerted by a fluid on a towed spherical particle is investigated by means of high-resolution direct numerical simulations. The measurements are carried out using a novel scheme to integrate…

Fluid Dynamics · Physics 2016-11-21 Holger Homann , Jérémie Bec , Rainer Grauer
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