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In this work we have obtained Maxwell-type equations for a compressible fluid which sources are functions of velocity and vorticity. A correlation function and the dispersion relation were analyzed as function of the Reynolds number. A…

Fluid Dynamics · Physics 2014-12-05 Everton M. C. Abreu , Jorge Ananias Neto , Albert C. R. Mendes

The coupling of vortices to phonons in a superfluid is a gauge coupling dictated by topology. The density and current response to a moving vortex are computed and contrasted with the standard backflow picture. Exploiting the analogy to…

Condensed Matter · Physics 2009-10-28 D. P. Arovas , J. A. Freire

We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kelvin-Helmholtz' instability which develops in the flow of two…

Fluid Dynamics · Physics 2008-01-17 Sergey L. Gavrilyuk , Henri Gouin , Vladimir M. Teshukov

We present experimental evidence that a bubble moving in a fluid in which a well-chosen acoustic noise is superimposed can be significantly slowed down for moderate acoustic pressures. Through mean velocity measurements, we show that a…

Fluid Dynamics · Physics 2015-05-18 Remi Dangla , Cedric Poulain

When a drop impacts a deep pool, it forms a crater which subsequently rebounds. Under certain conditions, a dimple forms at the crater bottom, which pinches off to entrap a small bubble. The oscillation of this entrapped bubble is the…

Fluid Dynamics · Physics 2025-12-11 Zi Qiang Yang , Yuan Si Tian , Er Qiang Li , Sigurður Tryggvi Thoroddsen

A suitable expression for hydrodynamic impulse in a compressible fluid is deduced. The development of appropriate impulse formulation for compressible Euler equations confirms the propriety of the hydrodynamic impulse expression for a…

Fluid Dynamics · Physics 2015-05-14 Bhimsen K. Shivamoggi

Bubbles are ubiquitous in many research applications ranging from ultrasound imaging and drug delivery to the understanding of volcanic eruptions and water circulation in vascular plants. From an acoustic perspective, bubbles are resonant…

Applied Physics · Physics 2024-11-28 Dorian Bouchet , Olivier Stephan , Benjamin Dollet , Philippe Marmottant , Emmanuel Bossy

The problem of two stiff fluids (energy density = pressure) moving radially in spherical symmetry is treated. The metric ansatz is chosen spherically symmetric, conformally static with a multiplicative separation of variables. The first…

General Relativity and Quantum Cosmology · Physics 2008-11-05 Valentin Kostov

We investigate the radial oscillations of small gas bubbles trapped in yield-stress fluid and driven by an acoustic pressure field. We model the rheological behavior of the yield-stress fluid using the recently developed…

The oscillatory flows present in an inkjet printhead can lead to strong deformations of the air-liquid interface at the nozzle exit. Such deformations may lead to an inward directed air jet with bubble pinch-off and the subsequent…

Fluid Dynamics · Physics 2022-08-09 Maaike Rump , Youssef Saade , Uddalok Sen , Kamel Fezzaa , Michel Versluis , Detlef Lohse , Tim Segers

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

Experimental measurements of interactions in ionic liquids and concentrated electrolytes over the past decade or so have revealed simultaneous monotonic and oscillatory decay modes. These observations have been hard to interpret using…

Soft Condensed Matter · Physics 2024-02-28 Timothy S. Groves , Susan Perkin

Emergent concepts from astroparticle physics are incorporated into a classical solution of the Einstein-Maxwell equations for a binary magnetohydrodynamic fluid, in order to describe the final equilibrium state of compact objects infused…

Solar and Stellar Astrophysics · Physics 2012-09-18 Zoran Pazameta

We simulate the quasi-static motion of a spherical particle through a stable, horizontal soap film. The soap film subtends a fixed contact angle, in the range $10-135^\circ$, where it meets the particle. The tension and pressure forces…

Soft Condensed Matter · Physics 2026-03-11 S. J. Cox , I. T. Davies

We systematically derived hydrodynamic equations and transport coefficients for a class of multi-speed lattice Boltzmann models in D dimensions, using the multi-scale technique. The constitutive relation of physical fluid is recovered by a…

comp-gas · Physics 2008-02-03 Yu Chen , Hirotada Ohashi , Mamoru Akiyama

We study experimentally blast wave dynamics on a weakly interacting fluid of light. The fluid density and velocity are measured in 1D and 2D geometries. Using a state equation arising from the analogy between optical propagation in the…

Microbubbles, either in the form of free gas bubbles surrounded by a fluid or encapsulated bubbles used currently as contrast agents for medical echography, exhibit complex dynamics under specific acoustic excitations. Nonetheless,…

Pattern Formation and Solitons · Physics 2023-05-09 Jennifer Chaline , Noé Jiménez , Ahmed Mehrem , Ayache Bouakaz , Serge Dos Santos , Víctor J. Sánchez-Morcillo

Sound waves in bubbly water and light in special relativity obey identical first-order transport laws. This equivalence is not approximate or analogical but mathematically identical to first order in $U/v$, sharing the same form discovered…

Optics · Physics 2025-10-24 Shiva Meucci

Experiments on generation of 1, 2, 4, and 6 sonoluminescent bubbles in water with an external ultrasound source in an acoustic sphere resonator with glass walls have been carried out. Theoretical examination has shown that the observed…

Fluid Dynamics · Physics 2007-05-23 V. B. Belyaev , B. F. Kostenko , M. B. Miller , A. V. Sermyagin

The stress of a fluid on a confining wall is given by the mechanical wall forces, independent of the nature of the fluid being passive or active. At thermal equilibrium, an equation of state exists and stress is likewise obtained from…

Soft Condensed Matter · Physics 2024-06-03 Shibananda Das , Gerhard Gompper , Roland G. Winkler