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A water-filled differentially heated rotating annulus with initially prepared stable vertical salinity profiles is studied in the laboratory. Based on two-dimensional horizontal particle image velocimetry (PIV) data, and infrared camera…

Fluid Dynamics · Physics 2016-11-23 Miklos Vincze , Ion Borcia , Uwe Harlander , Patrice Le Gal

We analyze an analog of the hydrodynamic Rayleigh-Taylor instability for the liquid-solid phase interface under non-uniform growth of the solid phase. The development of the instability starts on conditions of an accelerated interface…

Other Condensed Matter · Physics 2009-11-13 S. N. Burmistrov , L. B. Dubovskii , V. L. Tsymbalenko

We consider the free boundary problem for two layers of immiscible, viscous, incompressible fluid in a uniform gravitational field, lying above a rigid bottom in a three-dimensional horizontally periodic setting. The effect of surface…

Analysis of PDEs · Mathematics 2015-09-29 Yanjin Wang , Ian Tice

This paper investigates the well-posedness and Rayleigh-Taylor (R-T) instability for a system of two-dimensional nonhomogeneous incompressible fluid, subject to the non-slip and Naiver-slip boundary conditions at the outer and inner…

Analysis of PDEs · Mathematics 2025-02-11 Liang Li , Quan Wang

We perform direct numerical simulations of three dimensional Rayleigh-Taylor turbulence with a nonuniform singular initial temperature background. In such conditions, the mixing layer evolves under the driving of a varying effective Atwood…

Fluid Dynamics · Physics 2018-09-19 Luca Biferale , Guido Boffetta , Alexei A. Mailybaev , Andrea Scagliarini

We investigate the nonlinear instability of a smooth Rayleigh-Taylor steady-state solution (including the case of heavier density with increasing height) to the three-dimensional incompressible nonhomogeneous magnetohydrodynamic (MHD)…

Analysis of PDEs · Mathematics 2014-12-02 Fei Jiang , Song Jiang , Weiwei Wang

We study the magnetic Rayleigh-Taylor instability in three dimensions, with focus on the nonlinear structure and evolution that results from different initial field configurations. We study strong fields in the sense that the critical…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas Gardiner

Unlike the power-law model, the Ellis model describes the apparent viscosity of a shear-thinning fluid with no singularity in the limit of a vanishingly small shear stress. In particular, this model matches the Newtonian behaviour when the…

Fluid Dynamics · Physics 2023-02-03 Michele Celli , Antonio Barletta , Pedro V. Brandão

We report quantitative evidence of mixing-layer elastic instability in a viscoelastic fluid flow between two widely spaced obstacles hindering a channel flow at $Re\ll1$ and $Wi\gg1$. Two mixing layers with nonuniform shear velocity…

Fluid Dynamics · Physics 2018-10-17 Atul Varshney , Victor Steinberg

The Plateau-Rayleigh instability of a liquid column underlies a variety of fascinating phenomena that can be observed in everyday life. In contrast to the case of a free liquid cylinder, describing the evolution of a liquid layer on a solid…

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

A qualitatively different manifestation of the Rayleigh instability is demonstrated, where, instead of the usual extended undulations and breakup of the liquid into many droplets, the instability is localized, leading to an isolated…

Soft Condensed Matter · Physics 2010-02-02 Haim Diamant , Oded Agam

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…

The linear growth rate of the Rayleigh-Taylor instability (RTI) at ionization fronts is investigated via perturbation analysis in the limit of incompressible fluids. In agreement with previous numerical studies is found that absorption of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Massimo Ricotti

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

Layer formation in a thermally destabilized fluid with stable density gradient has been observed in laboratory experiments and has been proposed as a mechanism for mixing molecular weight in late stages of stellar evolution in regions which…

Astrophysics · Physics 2007-05-23 Joseph A. Biello

We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing. We analyze…

Fluid Dynamics · Physics 2018-02-14 Juan J. Hidalgo , Marco Dentz

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

The effect of viscous drag and surface tension on the nonlinear two fluid inter facial structures induced by Rayleigh -Taylor instability and Richtmyer-Meshkov instability are investigated.Viscosity and surface tension play important roles…

Plasma Physics · Physics 2015-05-27 M. R. Gupta , Rahul Banerjee , L. K. Mandal , R. Bhar , H. C. Pant , Manoranjan Khan , M. K. Srivastava

Layzer's approximation method for investigation of two fluid interface structures associated with Rayleigh Taylor instability for arbitrary Atwood number is extended with the inclusion of second harmonic mode leaving out the zeroth harmonic…

Plasma Physics · Physics 2011-06-08 M. R. Gupta , Rahul Banerjee , Labakanta Mandal , S. Roy , Manoranjan Khan
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