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Related papers: The Shape and Stability of a Viscous Thread

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We show that energy dissipation partition between a liquid and a solid controls the shape and stability of droplets sliding on viscoelastic gels. When both phases dissipate energy equally, droplet dynamics is similar to that on rigid…

Soft Condensed Matter · Physics 2024-02-20 Mathieu Oléron , Laurent Limat , Julien Dervaux , Matthieu Roché

A rectangular grid formed by liquid filaments on a partially wetting substrate evolves in a series of breakups leading to arrays of drops with different shapes distributed in a rather regular bidimensional pattern. Our study is focused on…

Fluid Dynamics · Physics 2017-10-25 Ingrith Cuellar , Pablo D. Ravazzoli , Javier A. Diez , Alejandro G. González

Many solar filaments and prominences show short-lived horizontal threads lying parallel to the photosphere. In this work the possible link between Rayleigh-Taylor instabilities and thread lifetimes is investigated. This is done by…

Solar and Stellar Astrophysics · Physics 2015-06-04 J. Terradas , R. Oliver , J. L. Ballester

The presence of a very small amount of high molecular weight polymer significantly delays the pinch-off singularity of a drop of water falling from a faucet, and leads to the formation of a long-lived cylindrical filament. In this paper we…

Soft Condensed Matter · Physics 2009-11-10 C. Wagner , Y. Amarouchene , D. Bonn , J. Eggers

The Rayleigh capillary instability of a cylindrical interface between two immiscible fluids is one of the most fundamental in fluid dynamics. As Plateau observed from energetic considerations and Rayleigh clarified through hydrodynamics,…

Soft Condensed Matter · Physics 2009-10-30 Thomas R. Powers , Dengfu Zhang , Raymond E. Goldstein , Howard A. Stone

We report a new type of drop instability, where the density difference between the drop and the solvent is negative. We show that the drop falls inside the solvent down to a minimum height, then fragmentation takes place and secondary…

Chaotic Dynamics · Physics 2016-08-16 Paul K. Buah-Bassuah , René Rojas , Stefania Residori , Fortunato Tito Arecchi

Viscoelastic fluids exhibit elastic instabilities in simple shear flow and flow through curved streamlines. Surprisingly, we found in a porous medium such fluids show strikingly different hydrodynamic instabilities depicted by very large…

Soft Condensed Matter · Physics 2017-11-22 S. De , J. van der Schaaf , N. G. Deen , J. A. M. Kuipers , E. A. J. F. Peters , J. T. Padding

Our work focuses on an experimental investigation of droplets freely rising through a miscible, more viscous liquid. We report observations of water droplets rising through glycerol and corn syrup, which are common household ingredients.…

Fluid Dynamics · Physics 2021-03-31 Endre Joachim Mossige , Vinny Chandran Suja , Daniel J. Walls , Gerald G. Fuller

We investigated the Rayleigh-Plateau instability at the interface between two immiscible liquids of equal viscosity using molecular dynamics simulations. Two types of initial conditions were considered, one with an imposed single-mode…

Soft Condensed Matter · Physics 2025-12-02 Shunta Kikuchi , Hiroshi Watanabe

In the analysis of the long-time behaviour of two-dimensional incompressible viscous fluids, Oseen vortices play a major role as attractors of any homogeneous solution with integrable initial vorticity. As a first step in the study of the…

Analysis of PDEs · Mathematics 2007-05-23 L. Miguel Rodrigues

We theoretically study the behavior of vesicles filled with a liquid of higher density than the surrounding medium, a technique frequently used in experiments. In the presence of gravity, these vesicles sink to the bottom of the container,…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Udo Seifert , Reinhard Lipowsky

The stability of the flux line lattice has been investigated within anisotropic London theory. This is the first full-scale investigation of instabilities in the `chain' state. It has been found that the lattice is stable at large fields,…

Condensed Matter · Physics 2016-08-31 A. M. Thompson , M. A. Moore

We study the Rayleigh-Taylor problem for two incompressible, immiscible, viscous magnetohydrodynamic (MHD) flows, with zero resistivity, surface tension (or without surface tenstion) and special initial magnetic field, evolving with a free…

General Mathematics · Mathematics 2012-05-02 Fei Jiang , Song Jiang , Yanjin Wang

Within the coexistence region between liquid and vapor the equilibrium pressure of a simulated fluid exhibits characteristic jumps and plateaus when plotted as a function of density at constant temperature. These features exclusively…

Statistical Mechanics · Physics 2015-09-09 S. Prestipino , C. Caccamo , D. Costa , G. Malescio , G. Munaò

The effect of viscosity on the behaviour of a non-equilibrium bubble is investigated experimentally, in two scenarios; firstly, when the bubble is generated in the bulk of the fluid (termed as ``free-field'' bubble) and secondly when the…

Fluid Dynamics · Physics 2023-06-08 Y. S. Kannan , Saravanan Balusamy , Badarinath Karri , Kirti Chandra Sahu

Rivulets and droplets are naturally appearing shapes when small amounts of liquid are deposited on a partially wettable substrate. Here we study, by means of numerical simulations, the dewetting dynamics of a ring-rivulet on substrates with…

Fluid Dynamics · Physics 2026-02-09 Stefan Zitz , Andrea Scagliarini , Johan Roenby

It has been shown in our previous publication (Blawzdziewicz,Cristini,Loewenberg,2003) that high-viscosity drops in two dimensional linear creeping flows with a nonzero vorticity component may have two stable stationary states. One state…

Soft Condensed Matter · Physics 2015-05-13 Yuan N. Young , Jerzy Blawzdziewicz , Vitorio Cristini , Roy Goodman

To investigate the influence of inertia and slip on the instability of a liquid film on a fibre, a theoretical framework based on the axisymmetric Navier-Stokes equations is proposed via linear instability analysis. The model reveals that…

Fluid Dynamics · Physics 2024-02-02 Chengxi Zhao , Ran Qiao , Kai Mu , Ting Si , Xisheng Luo

The evolution of the liquid bridge formed between two coalescing sessile yield-stress drops is studied experimentally. We find that the height of the bridge evolves similar to a viscous Newtonian fluid, $h_0\sim t$, before arresting at long…

Fluid Dynamics · Physics 2022-03-30 Vanessa R. Kern , Torstein Sæter , Andreas Carlson

We study surface gravity waves for viscous fluid flows governed by Darcy's law. The free boundary is acted upon by an external pressure posited to be in traveling wave form with a periodic profile. It has been proven that for any given…

Analysis of PDEs · Mathematics 2023-12-13 John Brownfield , Huy Q. Nguyen