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Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived…

Fluid Dynamics · Physics 2007-05-23 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammd Taeibi-Rahni

We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain in two and three space dimensions. In contrast to previous works, we study a new model…

Analysis of PDEs · Mathematics 2015-06-03 Helmut Abels , Daniel Depner , Harald Garcke

The rimming flow of a viscoelastic thin film inside a rotating horizontal cylinder is studied theoretically. Attention is given to the onset of non-Newtonian free-surface instability in creeping flow. This non-inertial instability has been…

Fluid Dynamics · Physics 2015-09-18 Sergei Fomin , Ravi Shankar , Peter Haine

We investigate the transient, fluid structure interaction (FSI) of a non-Newtonian fluid peeling two linearly elastic sheets at low Reynolds numbers. Two different non-Newtonian fluids are considered; a simplified sPTT model, and an…

Fluid Dynamics · Physics 2023-03-14 Anirudh Venkatesh , Vishal Anand , Vivek Narsimhan

The rise of a single bubble confined between two vertical plates is investigated over a wide range of Reynolds numbers. In particular, we focus on the evolution of the bubble speed, aspect ratio and drag coefficient during the transition…

Thin liquid films with floating active protein machines are considered. Cyclic mechanical motions within the machines, representing microscopic swimmers, lead to molecular propulsion forces applied to the air-liquid interface. We show that,…

Pattern Formation and Solitons · Physics 2015-05-13 Sergio Alonso , Alexander S. Mikhailov

When a drop impacts a solid substrate or a thin liquid film, a thin gas disc is entrapped due to surface tension, the gas disc retracts into one or several bubbles. While the evolution of the gas disc for impact on solid substrate or film…

Fluid Dynamics · Physics 2025-12-09 Pierre-Antoine Maës , Alidad Amirfazli , Christophe Josserand

The buoyancy-driven motion of a deformable bubble rising near a vertical hydrophilic wall is studied numerically. We focus on moderately inertial regimes in which the bubble undergoes low-to-moderate deformations and would rise in a…

Fluid Dynamics · Physics 2025-01-16 Pengyu Shi , Jie Zhang , Jacques Magnaudet

Following our first report (A. Groisman and V. Steinberg, $\sl Nature$ $\bf 405$, 53 (2000)) we present an extended account of experimental observations of elasticity induced turbulence in three different systems: a swirling flow between…

Chaotic Dynamics · Physics 2009-11-10 Alexander Groisman , Victor Steinberg

Crashing ocean waves, cappuccino froths and microfluidic bubble crystals are examples of foamy flows. Foamy flows are critical in numerous natural and industrial processes and remain notoriously difficult to compute as they involve coupled,…

Computational Physics · Physics 2022-02-04 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

Topological singularities occur in a broad range of physical systems, including collapsing stars and pinching fluid interfaces. They are important for being able to concentrate energy into a small region. Underwater air bubbles in…

Fluid Dynamics · Physics 2012-11-01 Daniel C. Herbst

In bubble-assisted Liquid HoleMultipliers(LHM), developed for noble-liquid radiation detectors, the stability of the bubble and the electro-mechanical properties of the liquid-to-gas interface play a dominant role in the detector…

Instrumentation and Detectors · Physics 2021-09-22 A. Tesi , E. Segre , S. Leardini , A. Breskin , S. Kapishnikov , L. Moleri , D. Vartsky , S. Bressler

Bubble coalescence can promote bubble departure at much smaller sizes compared to buoyancy. This can critically enhance the efficiency of gas-evolving electrochemical processes, such as water electrolysis. In this study, we integrate…

Fluid Dynamics · Physics 2025-10-30 Çayan Demirkır , Rui Yang , Aleksandr Bashkatov , Vatsal Sanjay , Detlef Lohse , Dominik Krug

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in…

Analysis of PDEs · Mathematics 2011-04-01 Helmut Abels

Relativistic, charged, superheated bubbles may play an important role in neutron star mergers if first-order phase transitions are present in the phase diagram of Quantum Chromodynamics. We describe the properties of these bubbles in the…

High Energy Physics - Theory · Physics 2026-02-17 Yago Bea , Jorge Casalderrey-Solana , David Mateos , Mikel Sanchez-Garitaonandia

The physicochemical hydrodynamics of bubbles and droplets out of equilibrium, in particular with phase transitions, displays surprisingly rich and often counterintuitive phenomena. Here we experimentally and theoretically study the…

Interfaces are a most common motif in complex systems. To understand how the presence of interfaces affect hydrophobic phenomena, we use molecular simulations and theory to study hydration of solutes at interfaces. The solutes range in size…

Soft Condensed Matter · Physics 2014-09-05 Amish J. Patel , Patrick Varilly , Sumanth N. Jamadagni , Hari Acharya , Shekhar Garde , David Chandler

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-02-17 Juhi Jang , Ian Tice , Yanjin Wang

Measurements of the surface diffusivity of colloidal spheres translating along a vapor/liquid inter- face show an unexpected decrease in diffusivity, or increase in surface drag (from the Stokes-Einstein relation) when the particles situate…

Soft Condensed Matter · Physics 2016-07-08 Joel Koplik , Charles Maldarelli

The understanding of the shrinkage dynamics of plasmonic bubbles formed around metallic nanoparticles immersed in liquid and irradiated by a resonant light source is crucial for the usage of these bubbles in numerous applications. In this…

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