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We study the stability of the Couette-Taylor flow between porous cylinders with radial throughflow. It had been shown earlier that this flow can be unstable with respect to non-axisymmetric (azimuthal or helical) waves provided that the…

Fluid Dynamics · Physics 2019-12-02 Konstantin Ilin , Andrey Morgulis

We study the collapse of an axisymmetric liquid filament both analytically and by means of a numerical model. The liquid filament, also known as ligament, may either collapse stably into a single droplet or break up into multiple droplets.…

Fluid Dynamics · Physics 2013-07-12 Theo Driessen , Roger Jeurissen , Herman Wijshoff , Federico Toschi , Detlef Lohse

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

The Rayleigh-Taylor instability at the interface in an immiscible two-component Bose-Einstein condensate is investigated using the mean-field and Bogoliubov theories. Rayleigh-Taylor fingers are found to grow from the interface and mushroom…

Quantum Gases · Physics 2015-05-14 Kazuki Sasaki , Naoya Suzuki , Daisuke Akamatsu , Hiroki Saito

In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with an constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational…

General Mathematics · Mathematics 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

A recent experiment showed that cylindrical segments of water filling a hydrophilic stripe on an otherwise hydrophobic surface display a capillary instability when their volume is increased beyond the critical volume at which their apparent…

Fluid Dynamics · Physics 2009-09-16 Raymond L. Speth , Eric Lauga

The multiplicity of routes from deterministic chaos to turbulence caused by the spontaneous breaking of the local reflectional symmetry in the flows induced by Rayleigh-Taylor instability has been studied using the notion of distributed…

Fluid Dynamics · Physics 2023-02-23 A. Bershadskii

A droplet falling toward a solid surface displaces the surrounding air until it encounters a defect, and contact nucleates. On atomically smooth surfaces devoid of defects, contact can be delayed until the droplet rebounds; however, above a…

Fluid Dynamics · Physics 2025-02-03 Octave Castanedo , John M. Kolinski

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

We study the formation, growth, and disintegration of jets following impact of a drop on a thin film of the same liquid for We < 1000 and Re < 2000 using a combination of numerical simulations and linear stability theory (Agbaglah et al.…

Fluid Dynamics · Physics 2015-06-19 G. Agbaglah , R. D. Deegan

The Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids…

Fluid Dynamics · Physics 2022-10-28 Hanwei Li , Aiguo Xu , Ge Zhang , Yiming Shan

Nonlinear evolutions of two-dimensional single-mode compressible Rayleigh--Taylor instability (RTI) with isothermal stratification are investigated in cylindrical geometry via direct numerical simulation for different Atwood numbers…

Fluid Dynamics · Physics 2025-02-04 Ming Yuan , Zhiye Zhao , Luoqin Liu , Pei Wang , Nan-Sheng Liu , Xi-Yun Lu

MRT unstable plumes are observed in a loop-like eruptive prominence using SDO/AIA observations. The small-scale cavities are developed within the prominence, where perturbations trigger dark plumes (P1 \& P2) propagating with the speed of…

Solar and Stellar Astrophysics · Physics 2019-03-27 Sudheer K. Mishra , A. K. Srivastava

Combining high-speed photography with laser profilometry, we study the dynamics and the morphology of liquid-drop impact cratering in wet granular media---a ubiquitous phenomenon relevant to many important geological, agricultural, and…

Soft Condensed Matter · Physics 2015-10-29 Qianyun Zhang , Ming Gao , Runchen Zhao , Xiang Cheng

This paper theoretically analyzes the hydrodynamic shape stability problem for sonoluminescing bubbles. We present a semianalytical approach to describe the evolution of shape perturbations in the strongly nonlinear regime of violent…

Fluid Dynamics · Physics 2009-11-06 Vladislav A. Bogoyavlenskiy

Fluid--fluid interfacial instability and subsequent fluid mixing are ubiquitous in nature and engineering. The hydrodynamic instability of fluid interfaces has long centered on the pressure gradient-driven long-wavelength Rayleigh--Taylor…

We investigate the impact of a free-falling water drop onto a granular layer. First, we constructed a phase diagram of crater shapes with two control parameters, impact speed and grain size. A low-speed impact makes a deeper cylindrical…

Soft Condensed Matter · Physics 2011-02-17 H. Katsuragi

A liquid jet may develop different types of instabilities, like the so-called Rayleigh-Plateau instability, which breaks the jet into droplets. However, another type of instabilities may appear when we electrify a liquid jet and induce some…

Fluid Dynamics · Physics 2008-10-02 Alvaro G. Marin , Guillaume Riboux , Ignacio G. Loscertales , Antonio Barrero

We analyze the analog of the Rayleigh instability in the field of gravity for the superfluid-crystal 4He interface provided that the heavier 4He crystal phase occupies the half-space over the lighter superfluid phase. The conditions and the…

Other Condensed Matter · Physics 2011-02-15 S. N. Burmistrov , L. B. Dubovskii , V. L. Tsymbalenko

Interfacial instability would be aroused on a spherical liquid droplet when it is subject to external vertical vibration. In this paper, a linear analysis was conducted on this instability problem. The polar-angle dependent acceleration in…

Fluid Dynamics · Physics 2022-03-23 Yikai Li , Kun Wu , Dehua Liu , Ru Xi