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The late-time growth of single-mode immiscible Rayleigh-Taylor instability is investigated over a comprehensive range of the Reynolds numbers ($1\leq Re \leq 10000$) and Atwood numbers $(0.05 \leq A \leq 0.7)$ using an improved lattice…

Fluid Dynamics · Physics 2024-06-19 Haowei Huang , Zhenhua Xia , Hong Liang , Yajing Zong , Jiangrong Xu

We study the equations obtained from linearizing the compressible Navier-Stokes equations around a steady-state profile with a heavier fluid lying above a lighter fluid along a planar interface, i.e. a Rayleigh-Taylor instability. We…

Analysis of PDEs · Mathematics 2009-11-25 Yan Guo , Ian Tice

We numerically calculate the growth and saturation of the Rayleigh-Taylor instability caused by the deceleration of relativistic outflows with Lorentz factor {\Gamma} = 10, 30, and 100. The instability generates turbulence whose scale…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Paul C. Duffell , Andrew I. MacFadyen

The effects of velocity shear on the unstable modes driven by the effective gravity (Rayleigh-Taylor and interchange) and resistive drift wave instabilities for inhomogeneous equilibrium fluid/plasma density are analyzed for the localized…

Plasma Physics · Physics 2020-02-19 Yanzeng Zhang , S. I. Krasheninnikov , A. I. Smolyakov

We study the nonlinear evolution of the magnetic Rayleigh-Taylor instability using three-dimensional MHD simulations. We consider the idealized case of two inviscid, perfectly conducting fluids of constant density separated by a contact…

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

We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal structures in the fully nonlinear regime are established…

Analysis of PDEs · Mathematics 2024-12-20 Konstantin Kalinin , Govind Menon , Bian Wu

We assess experimentally the scaling laws that characterize the mixing region produced by the Rayleigh-Taylor instability in a confined porous medium. In particular, we wish to assess experimentally the existence of a superlinear scaling…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Diego Perissutti , Cristian Marchioli , Alfredo Soldati

We study the dynamics of the interface given by two incompressible viscous fluids in the Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity force and the density difference induces the dynamics of…

Analysis of PDEs · Mathematics 2023-01-03 Francisco Gancedo , Rafael Granero-Belinchón , Elena Salguero

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

In this paper I analyze the onset of Rayleigh-Taylor instability between two linear viscoelastic fluids assuming that the perturbations at the interface are small. In the first half, the paper analyzes a stratified viscoelastic fluid in…

Fluid Dynamics · Physics 2013-08-06 Amey Joshi

For years, astrophysicists, plasma fusion and fluid physicists have puzzled over Rayleigh-Taylor turbulent mixing layers. In particular, strong discrepancies in the growth rates have been observed between experiments and numerical…

Fluid Dynamics · Physics 2015-05-13 Olivier Poujade , Mathieu Peybernes

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

These fluid dynamics video sequences show two Rayleigh-Taylor instability experiments. The first video sequence shows an experiment where two layers of uniform density are arranged such that the density of the upper layer is greater than…

Fluid Dynamics · Physics 2012-10-10 Megan S. Davies Wykes , Stuart B. Dalziel

In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and…

Analysis of PDEs · Mathematics 2025-07-16 Haocheng Yang

The Rayleigh-Taylor (RT) instability is omnipresent in the physics of inversely density-stratified fluids subject to effective gravitational acceleration. In astrophysics, a steep stratification of the ambient medium can fragment a bubble…

High Energy Astrophysical Phenomena · Physics 2021-10-20 Michael Mathias Schulreich , Dieter Breitschwerdt

The effect of rotation upon the classical two-layer Rayleigh-Taylor instability is considered theoretically and compared with previous experimental results. In particular we consider a two-layer system with an axis of rotation that is…

Fluid Dynamics · Physics 2016-03-03 Matthew M. Scase , Kyle A. Baldwin , Richard J. A. Hill

Reactive Rayleigh-Taylor systems are characterized by the competition between the growth of the instability and the rate of reaction between cold (heavy) and hot (light) phases. We present results from state-of-the-art numerical simulations…

Fluid Dynamics · Physics 2011-02-14 A. Scagliarini , L. Biferale , F. Mantovani , M. Sbragaglia , F. Toschi , R. Tripiccione

At the superfluid-solid 4He interface there exist crystallization waves having much in common with gravitational-capillary waves at the interface between two normal fluids. The Rayleigh-Taylor instability is an instability of the interface…

Other Condensed Matter · Physics 2015-05-14 S. N. Burmistrov , L. B. Dubovskii , V. L. Tsymbalenko

This article is concerned with the dynamic behaviour of two immiscible and incompressible fluids in a cylindrical domain, which are separated by a sharp interface. In case that the heavy fluid is situated on top of the light fluid, one…

Analysis of PDEs · Mathematics 2017-03-16 Mathias Wilke

In [F. Jiang, S. Jiang, On instability and stability of three-dimensional gravity driven viscous flows in a bounded domain, Adv. Math., 264 (2014) 831--863], Jiang et.al. investigated the instability of Rayleigh--Taylor steady-state of a…

Analysis of PDEs · Mathematics 2015-01-05 Fei Jiang