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We analyse numerically a pinch-type instability in a semi-infinite planar layer of inviscid conducting liquid bounded by solid walls and carrying a uniform electric current. Our model is as simple as possible but still captures the salient…

Fluid Dynamics · Physics 2017-03-14 Jānis Priede

This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the fluid lays on top…

Analysis of PDEs · Mathematics 2019-11-11 Francisco Gancedo , Rafael Granero-Belinchon , Stefano Scrobogna

Above a critical temperature known as the Leidenfrost point (LFP), a heated surface can suspend a liquid droplet above a film of its own vapor. The insulating vapor film can be highly detrimental in metallurgical quenching and thermal…

Fluid Dynamics · Physics 2021-02-16 Tom Y. Zhao , Neelesh A. Patankar

Rayleigh-Taylor (RT) instability occurs in a variety of scenario as a consequence of fluids of different densities pushing against the density gradient. For example, it is expected to occur in the ion acceleration of solid density targets…

Plasma Physics · Physics 2024-09-24 Z. Liu , M. K. Zhao , P. L. Bai , X. J. Yang , R. Qi , Y. Xu , J. W. Wang , Y. X. Leng , J. H. Bin , R. X. Li

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

The Rayleigh-Taylor instability is a key process in many fields of Physics ranging from astrophysics to inertial confinement fusion. It is usually analyzed deriving the linearized fluid equations, but the physics behind the instability is…

High Energy Astrophysical Phenomena · Physics 2015-05-27 A Bret

Fingering instabilities akin to the Rayleigh-Taylor (RT) instability in fluids have been observed in a binary granular system consisting of dense and small particles layered on top of lighter and larger particles, when the system is…

The elliptical instability is a generic instability which takes place in any rotating flow whose streamlines are elliptically deformed. Up to now, it has been widely studied in the case of a constant, non-zero differential rotation between…

Fluid Dynamics · Physics 2012-06-19 David Cébron , Michael Le Bars , J. Noir , J. M. Aurnou

We analyze the stability and dynamics of toroidal liquid droplets. In addition to the Rayleigh instabilities akin to those of a cylindrical droplet there is a shrinking instability that is unique to the topology of the torus and dominates…

Soft Condensed Matter · Physics 2015-03-17 Zhenwei Yao , Mark Bowick

When a flexible filament is confined to a fluid interface, the balance between capillary attraction, bending resistance, and tension from an external source can lead to a self-buckling instability. We perform an analysis of this instability…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Saverio E. Spagnolie , Denis Bartolo , Eric Lauga

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

The stability of liquid films coating the walls of a parallel-plate channel and sheared by a pressure-driven gas flow along the channel centre is studied. The films are susceptible to a long-wavelength instability, whose dynamic behaviour…

Fluid Dynamics · Physics 2016-04-21 Miklós Vécsei , Mathias Dietzel , Steffen Hardt

Boundary conditions at a liquid-solid interface are crucial to dynamics of a liquid film coated on a fibre. Here a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid-solid slip on…

Fluid Dynamics · Physics 2023-01-25 Chengxi Zhao , Yixin Zhang , Ting Si

The buoyancy-induced parallel flow in a vertical cylindrical porous layer is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce the buoyant flow. The layer boundaries are modelled as…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , D. A. S. Rees , B. Pulvirenti

This research explores the modulation of Rayleigh-Plateau instability by adjusting the orientation angle and eccentricity of a wire within a nozzle. We demonstrate that both the angle and eccentricity significantly influence the…

Fluid Dynamics · Physics 2026-04-30 Dilip Kumar Maity , Christopher Wagstaff , Sandip Dighe , Tadd Truscott

Small steady-state deformational oscillations of a drop of a viscous magnetic liquid in a non-stationary uniform magnetic field are theoretically investigated for low Reynolds numbers. The drop is suspended in another viscous magnetic…

Fluid Dynamics · Physics 2022-06-22 Alexander N. Tyatyushkin

In this Letter we investigate the rupture instability of thin liquid films by means of a bifurcation analysis in the vicinity of the short-scale instability threshold. The rupture time estimate obtained in closed form as a function of the…

Fluid Dynamics · Physics 2009-11-10 A. M. Leshansky , B. Y. Rubinstein

We report on the Rayleigh-Plateau instability in films of giant micelles solutions coating a vertical fibre. We observe that the dynamics of thin films coating the fibre could be very different from the Newtonian or standard Non-Newtonian…

We derive a theoretical model for the Rayleigh-Taylor (RT)-like instability for a thin foil accelerated by an intense laser, taking into account finite wavelength effects in the laser wave field. The latter leads to the diffraction of the…

Space Physics · Physics 2015-06-22 Bengt Eliasson

We study the drainage of a viscous liquid film coating outside a horizontal cylinder. We first study the evolution of the axially invariant draining flow, initiated at rest with uniform film thickness $\delta$. Non-linear simulations…

Fluid Dynamics · Physics 2023-05-16 Shahab Eghbali , Simeon Djambov , François Gallaire