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The Muskat problem models the evolution of the interface given by two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of the Muskat problem. We show that the Rayleigh-Taylor condition…

Analysis of PDEs · Mathematics 2011-06-14 Angel Castro , Diego Cordoba , Charles Fefferman , Francisco Gancedo , Maria Lopez-Fernandez

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

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

The single-mode Rayleigh-Taylor instability (smRTI) is well defined, poorly understood, and applicable to many fluid flows directly and through its relationship to multi-mode Rayleigh-Taylor models. This study reproduces three low-Atwood…

Fluid Dynamics · Physics 2016-03-07 Maxwell Hutchinson

The effect of magnetic tension and diffusion on the perturbation growth of a liquid-metal liner subjected to the magneto-Rayleigh-Taylor (MRT) instability is investigated. An initially magnetic-field-free liquid-metal slab of finite…

Fluid Dynamics · Physics 2024-06-28 Paria Makaremi-Esfarjani , Andrew J. Higgins

The acceleration of dense targets driven by the radiation pressure of high-intensity lasers leads to a Rayleigh-Taylor instability (RTI) with rippling of the interaction surface. Using a simple model it is shown that the self-consistent…

Plasma Physics · Physics 2015-06-19 Andrea Sgattoni , Stefano Sinigardi , Luca Fedeli , Francesco Pegoraro , Andrea Macchi

The dynamics of self-similar Rayleigh-Taylor (RT) mixing layers are investigated across a broad range of Atwood and Reynolds numbers using the statistically stationary Rayleigh-Taylor (SRT) flow configuration - a computational framework…

Fluid Dynamics · Physics 2026-03-11 Chian Yeh Goh , Daniel Brito Matehuala , Guillaume Blanquart

Solar prominences represent large-scale condensations suspended against gravity within the solar atmosphere. The Rayleigh-Taylor (RT) instability is proposed to be one of the important fundamental processes leading to the generation of…

Solar and Stellar Astrophysics · Physics 2023-04-19 Madhurjya Changmai , Jack M. Jenkins , J. -B. Durrive , Rony Keppens

Recently, Kaladze and Misra [Phys. Scr. 99 (2024) 085013] showed that the tropospheric stratified fluid flows may be unstable by the effects of the negative temperature gradient and the temperature-dependent density inhomogeneity arising…

Fluid Dynamics · Physics 2025-01-30 A. P. Misra , T. D. Kaladze , D. T. Kaladze , L. Tsamalashvili

We present results of 3D simulations of MHD instabilities at the accretion disk-magnetosphere boundary. The instability is Rayleigh-Taylor, and develops for a fairly broad range of accretion rates and stellar rotation rates and magnetic…

Astrophysics · Physics 2009-11-13 Akshay K. Kulkarni , Marina M. Romanova

The problem of convective instability onset in a horizontal porous channel is explored. The channel's impermeable walls are heated with asymmetric thermal conditions modelled through unequal, but uniform, wall heat fluxes. A stationary…

Fluid Dynamics · Physics 2025-08-22 A. Barletta , M. Celli , P. V. Brandão

Turbulent mixing layers in nature are often characterized by the presence of a mean shear and an unstable buoyancy gradient between two streams of different velocity. Depending on the relative strength of shear versus buoyancy, either the…

In the classical Rayleigh-Taylor (RT) instability, initial conditions are forgotten and the growth of the mixing layer becomes self-similar when short wavelength modes couple to generate longer wavelength modes. In this paper, we explore…

Fluid Dynamics · Physics 2024-12-16 Mingxuan Liu , Elizabeth P. Hicks

The Rayleigh-Plateau instability occurs when surface tension makes a fluid column become unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to surface energy densities. Consequently, at these scales,…

Fluid Dynamics · Physics 2023-06-21 Bryn Barker , John B. Bell , Alejandro L. Garcia

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

We study the stability of density stratified flow between co-rotating vertical cylinders with rotation rates $\Omega_o < \Omega_i$ and radius ratio $r_i/r_o=0.877$, where subscripts $o$ and $i$ refer to the outer and inner cylinders. Just…

Fluid Dynamics · Physics 2016-04-12 Ruy Ibanez , Harry L. Swinney , Bruce Rodenborn

The question whether liquid atomization (or pulverization) resorts to instability dynamics (through refinements of Rayleigh-Plateau, Rayleigh-Taylor or Kelvin-Helmholtz mechanism) or to turbulent cascades similar to Richardson and…

Fluid Dynamics · Physics 2015-05-18 Nicolas Rimbert , Guillaume Castanet

Rayleigh-Taylor (RT) unstable flames are a key component of Type Ia and Iax supernovae explosions, but their complex hydrodynamics is still not well understood. These flames are affected not only by the RT instability, but also by the…

Solar and Stellar Astrophysics · Physics 2019-09-05 E P Hicks

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 dissolution of a body into quiescent water leads to density stratifications at the interfaces that drive buoyant flows. Where the stratification is unstable, the flow destabilizes into convective solute plumes. By analogy with the…

Fluid Dynamics · Physics 2020-06-02 Caroline Cohen , Michael Berhanu , Julien Derr , Sylvain Courrech du Pont