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When a viscous fluid partially fills a Hele--Shaw channel, and is pushed by a pressure difference, the fluid interface is unstable due to the Saffman--Taylor instability. We consider the evolution of a fluid region of finite extent, bounded…

Fluid Dynamics · Physics 2024-05-20 Michael C Dallaston , Michael J W Jackson , Liam C Morrow , Scott W McCue

The Rayleigh-Taylor (RT) instability affects a vast range of High Energy Density (HED) length scales, spanning from supernova explosions (10$^{13}$ m) to inertial confinement fusion (10$^{-6}$ m). In inertial confinement fusion, the RT…

The dynamics of Rayleigh-Taylor turbulence convection in presence of an alternating, time periodic acceleration is studied by means of extensive direct numerical simulations of the Boussinesq equations. Within this framework, we discover a…

Fluid Dynamics · Physics 2019-03-27 G. Boffetta , M. Magnani , S. Musacchio

The growth rate of the compressible Rayleigh-Taylor instability is studied in the presence of a background temperature gradient, $\Theta$, using a normal mode analysis. The effect of $\Theta$ variation is examined for three interface types…

Fluid Dynamics · Physics 2016-08-24 S. Gerashchenko , D. Livescu

We study the convective instability of the melt during the initial transient in a directional solidification experiment in a vertical configuration. We obtain analytically the dispersion relation, and perform an additional asymptotic…

Fluid Dynamics · Physics 2010-11-29 Esteban Meca , Laureano Ramirez-Piscina

We present a numerical study of double-diffusive convection characterized by a stratification unstable to thermal convection while at the same time a mean molecular weight (or solute concentration) difference between top and bottom…

Fluid Dynamics · Physics 2019-06-28 Florian Zaussinger , Friedrich Kupka

It is well-known that the Rayleigh--Taylor (abbr. RT) instability can be completely inhibited by the quantum effect stabilization in proper circumstances leading to a cutoff wavelength in the \emph{linear} motion equations. Motivated by the…

Analysis of PDEs · Mathematics 2025-10-10 Fei Jiang , Yajie Zhang , Zhipeng Zhang , Youyi Zhao

Aims. We aim to determine how ion neutral coupling and ambipolar diffusion affect the linear and the nonlinear growth of the RTinstability under astrophysically relevant conditions, and to identify the coupling regimes in which departures…

Astrophysics of Galaxies · Physics 2026-03-12 E. Callies , Z. Meliani , A. Marcowith , V. Guillet

Rayleigh-Taylor instability (RTI) as a multi-scale, strongly nonlinear physical phenomenon which plays an important role in the engineering applications and scientific research. In this paper, the mesoscopic lattice Boltzmann method is used…

Fluid Dynamics · Physics 2022-01-14 Bin Liu , Chunhua Zhang , Qin Lou , Hong Liang

We consider the Rayleigh-Taylor instability in the early evolution of the rarefied radio bubbles (cavities) observed in many cooling flow clusters of galaxies. The top of a bubble becomes prone to the Rayleigh-Taylor instability as the…

Astrophysics · Physics 2009-11-11 Fabio Pizzolato , Noam Soker

We investigate the stabilizing effects of the magnetic fields in the linearized magnetic Rayleigh-Taylor (RT) problem of a nonhomogeneous incompressible viscous magnetohydrodynamic fluid of zero resistivity in the presence of a uniform…

Mathematical Physics · Physics 2015-10-28 Fei Jiang , Song Jiang

We propose a scheme to initiate and examine Rayleigh-Taylor instability in the two species Bose-Einstein condensates. We identify $^{85}$Rb-$^{87}$Rb mixture as an excellent candidate to observe it experimentally. The instability is…

Quantum Gases · Physics 2010-06-01 S. Gautam , D. Angom

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 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

The two-phase mixing layer formed between parallel gas and liquid streams is an important fundamental problem in turbulent multiphase flows. The problem is relevant to many industrial applications and natural phenomena, such as air-blast…

Fluid Dynamics · Physics 2018-12-05 Y. Ling , D. Fuster , G. Tryggvason , S. Zaleski

A new category of front propagation problems is proposed in which a spreading instability evolves through a singular configuration before saturating. We examine the nature of this front for the viscous Rayleigh instability of a column of…

Condensed Matter · Physics 2009-10-28 Thomas R. Powers , Raymond E. Goldstein

Dry lakes covered with a salt crust organised into beautifully patterned networks of narrow ridges are common in arid regions. Here, we consider the initial instability and the ultimate fate of buoyancy-driven convection that could lead to…

Fluid Dynamics · Physics 2021-05-31 Jana Lasser , Marcel Ernst , Lucas Goehring

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

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…

The Plateau-Rayleigh instability shows that a cylindrical fluid flow can be destabilized by surface tension. Similarly, capillary forces can make an elastic cylinder unstable when the elastocapillary length is comparable to the cylinder's…

Soft Condensed Matter · Physics 2025-07-15 F. Magni , D. Riccobelli

We present results from numerical simulations of Rayleigh-Taylor turbulence, performed using a recently proposed lattice Boltzmann method able to describe consistently a thermal compressible flow subject to an external forcing. The method…

Fluid Dynamics · Physics 2015-05-20 A. Scagliarini , L. Biferale , M. Sbragaglia , K. Sugiyama , F. Toschi