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We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

Analysis of PDEs · Mathematics 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

We consider a rigid body freely moving in a compressible inviscid fluid within a bounded domain $\Omega\subset\mathbb{R}^3$. The fluid is thereby governed by the non necessarily isentropic compressible Euler equations, while the rigid body…

Analysis of PDEs · Mathematics 2025-12-11 Frédéric Rousset , Pei Su

Bubbles in complex fluids are often desirable, and sometimes simply inevitable, in the processing of formulated products. Bubbles can rise by buoyancy, grow or dissolve by mass transfer, and readily respond to changes in pressure, thereby…

Fluid Dynamics · Physics 2020-11-02 Brice Saint-Michel , Valeria Garbin

We consider a randomly forced particle moving in a finite region, which rebounds inelastically with coefficient of restitution r on collision with the boundaries. We show that there is a transition at a critical value of r, r_c\equiv…

Statistical Mechanics · Physics 2009-10-31 Stephen J. Cornell , Michael R. Swift , Alan J. Bray

The response of underwater structures to a near-field explosion is coupled with the dynamics of the explosion bubble and the surrounding water. This multiphase fluid-structure interaction process is investigated using a model problem that…

Fluid Dynamics · Physics 2023-09-15 Wentao Ma , Xuning Zhao , Christine Gilbert , Kevin Wang

As a bubble bursts at a liquid-air interface, a tiny liquid jet rises and can release the so-called \textit{jet drops}. In this paper, the size of the top jet drop produced by a bubble bursting is investigated experimentally. We determine,…

Fluid Dynamics · Physics 2016-05-20 Elisabeth Ghabache , Thomas Séon

We investigate the properties of highly compressible turbulence and its ability to produce self-gravitating structures. The compressibility is parameterized by an effective polytropic exponent gama-eff. In the limit of small gama-eff, the…

Astrophysics · Physics 2009-10-30 E. Vazquez-Semadeni , T. Passot , A. Pouquet

Fluid turbulence is commonly associated with stronger drag, greater heat transfer, and more efficient mixing than in laminar flows. In many natural and industrial settings, turbulent liquid flows contain suspensions of dispersed bubbles and…

Fluid Dynamics · Physics 2020-05-29 Varghese Mathai , Detlef Lohse , Chao Sun

We study the evolution of growing vacuum bubbles. The bubble walls interact with the surrounding fluid and may, consequently, reach a terminal velocity. If the mean free path of the particles in the fluid is much shorter than the bubble…

High Energy Physics - Phenomenology · Physics 2024-11-25 Tomasz Krajewski , Marek Lewicki , Martin Vasar , Ville Vaskonen , Hardi Veermäe , Mateusz Zych

A system of inelastic hard disks in a thin pipe capped by hot walls is studied with the aim of investigating velocity correlations between particles. Two effects lead to such correlations: inelastic collisions help to build localized…

patt-sol · Physics 2009-10-31 Tong Zhou

We derive bounds on the volume of an inclusion in a body in two or three dimensions when the conductivities of the inclusion and the surrounding body are complex and assumed to be known. The bounds are derived in terms of average values of…

Analysis of PDEs · Mathematics 2015-06-09 Andrew E. Thaler , Graeme W. Milton

Gravitational and hydrodynamical perturbations are analysed in a relativistic plasma containing a mixture of interacting fluids characterized by a non-negligible bulk viscosity coefficient. The energy-momentum transfer between the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Massimo Giovannini

The dynamical perspectives of bubble in a liquid droplet on smooth solid substrate can be revealed by investigating interfacial self-assembly phenomena. Moreover, the complexity in such system can be scaled down into a transparent immobile…

Soft Condensed Matter · Physics 2018-11-19 Mayuri Bora , Sushant K. Behera , Pritam Deb

When a bubble rises to a free surface, its bursting dynamics in Newtonian fluids are governed by the interplay between viscous, capillary, and gravitational forces. In this work, we extend this classical problem to Herschel-Bulkley fluids,…

Fluid Dynamics · Physics 2025-12-01 A. H. Ghaemi , Z. Yang , A. Huang , V. Sanjay , J. Feng , C. R. Constante-Amores

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 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

In this work, a mathematical model based on interface energy is proposed within the framework of surface continuum mechanics to study the dynamics of encapsulated bubbles. The interface model naturally induces a residual stress field into…

Fluid Dynamics · Physics 2023-06-22 Nehal Dash , Ganesh Tamadapu

We study the thermodynamical properties of a one-dimensional gas with one-dimensional gravitational interactions, and placed in a uniform mass background. Periodic boundary conditions are implemented as a modification of the potential…

Statistical Mechanics · Physics 2017-02-22 Pankaj Kumar , Bruce N. Miller , Dan Pirjol

We develop a set of controlled, analytic approximations to study the effects of bubble collisions on cosmology. We expand the initial perturbation to the inflaton field caused by the collision in a general power series, and determine its…

High Energy Physics - Theory · Physics 2015-06-04 Roberto Gobbetti , Matthew Kleban

Underground gas storage is a critical technology in global efforts to mitigate climate change. In particular, hydrogen storage offers a promising solution for integrating renewable energy into the power grid. When injected into the…

Fluid Dynamics · Physics 2026-01-07 Peter Castellucci , Radha Boya , Lin Ma , Igor L. Chernyavsky , Oliver E. Jensen