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We derive interface models for 3D Rayleigh-Taylor instability (RTI), making use of a novel asymptotic expansion in the non-locality of the fluid flow. These interface models are derived for the purpose of studying universal features…

Fluid Dynamics · Physics 2023-02-14 Gavin Pandya , Steve Shkoller

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 report on two- and three-dimensional numerical simulations of Rayleigh-Taylor instabilities in immiscible fluids. A diffuse-interface model that combines the Cahn-Hilliard equation, governing the evolution of the volume fraction of one…

Fluid Dynamics · Physics 2021-01-05 Raphael Zanella , György Tegze , Romain LeTellier , Hervé Henry

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 report an experimental study on the dynamics of a thin film of polymer solution coating a vertical fiber. The liquid film has first a constant thickness and then undergoes the Rayleigh-Plateau instability which leads to the formation of…

Fluid Dynamics · Physics 2013-05-21 François Boulogne , Ludovic Pauchard , Frédérique Giorgiutti-Dauphiné

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

The evolution of a two-phase, air and unsaturated water vapor, time decaying, shearless, turbulent layer has been studied in the presence of both stable and unstable perturbations of the normal temperature lapse rate. The top interface…

Fluid Dynamics · Physics 2022-06-13 Luca Gallana , Shahbozbek Abdunabiev , Mina Golshan , Daniela Tordella

The dynamics of turbulent mixing induced by Rayleigh-Taylor instability are heavily dependent on the acceleration experienced by the fluids and the frequency content of the initial interface between them. Both are readily controllable in…

Fluid Dynamics · Physics 2025-11-17 J. T. Horne-Jones , D. J. Glinnan , A. G. W. Lawrie , R. J. R. Williams

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

Rayleigh-Taylor instability (RTI) occurs at the interface of two media when the heavier fluid is accelerated into the lighter fluid and is a prototypical hydrodynamic event present in many physical events. In high energy physics, this…

Fluid Dynamics · Physics 2022-03-03 Prasannabalaji Sundaram , Aditi Sengupta , Tapan K. Sengupta

In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differential inclusion. By considering the relaxation of the…

Analysis of PDEs · Mathematics 2021-06-15 Björn Gebhard , József J. Kolumbán , László Székelyhidi

Instabilities, where small fluctuations seed the formation of large-scale structures, govern dynamics in a variety of fluid systems. The Rayleigh-Taylor instability (RTI), present from tabletop to astronomical scales, is an iconic example…

We present a numerical investigation of the development of Rayleigh-Taylor instability at the interface between an expanding Pulsar Wind Nebula and its surrounding Supernova Remnant. These systems have long been thought to be naturally…

Astrophysics · Physics 2009-11-10 N. Bucciantini , E. Amato , R. Bandiera , J. M. Blondin , L. Del Zanna

The shock wave instability induced when interacting with a small waviness on an interface was investigated analytically and numerically. The perturbation to the shock was phenomenologically treated assuming this as the consequence of the…

Fluid Dynamics · Physics 2018-08-29 A. Markhotok

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

Fluid Dynamics · Physics 2025-03-12 Kengo Deguchi , Ming Dong

We study the modification of the classical criterion for the linear onset and growth rate of the Rayleigh-Taylor instability (RTI) in a partially ionized (PI) plasma in the one-fluid description, considering a generalized induction…

Solar and Stellar Astrophysics · Physics 2015-06-18 A. J. Diaz , E. Khomenko , M. Collados

The magnetic Rayleigh-Taylor instability has been shown to play a key role in many astrophysical systems. The equation for the growth rate of this instability in the incompressible limit, and the most-unstable mode that can be derived from…

Solar and Stellar Astrophysics · Physics 2016-10-27 Andrew Hillier

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

A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

Statistical Mechanics · Physics 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes

Vertical oscillation of a fluid interface above a critical amplitude excites the Faraday instability, typically manifesting itself as a standing wave pattern. Fundamentally, the phenomenon is an example of parametric resonance. At high…

Fluid Dynamics · Physics 2013-10-10 William Batson , Farzam Zoueshtiagh , Ranga Narayanan
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