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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 an instability of thin liquid-vapor layers bounded by rigid parallel walls from both below and above. In this system, the interfacial instability is induced by lateral vapor pressure fluctuation, which is in turn attributed to the…

Fluid Dynamics · Physics 2009-07-30 Kentaro Kanatani

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

Electrostatic Gravitational or Rayleigh-Taylor (RT) instability in an inhomogeneous magnetized multi-ions plasma with some fraction of quantum mechanical electrons. The effect of Bohm potential, temperature degeneracy and magnetic field are…

Plasma Physics · Physics 2018-05-08 A. Mushtaq , Sajad Ali , Zahida Ehsan

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

We analyse the behaviour of the linear phase of the Rayleigh-Taylor instability (RTI) in the presence of a foam. Such a problem may be relevant, for example, to some inertial confinement fusion (ICF) scenarios such as foams within the…

Plasma Physics · Physics 2026-05-21 Antoine Bret , Audrey DeVault , Skylar Dannhoff , Maria Gatu Johnson , Chikang Li , Johan Frenje

In this work we suggest that a turbulent phase of the Rayleigh-Taylor instability can be explained as a universal stochastic wave traveling with constant speed in a properly renormalized system. This wave, originating from ordinary…

Fluid Dynamics · Physics 2017-05-16 Alexei A. Mailybaev

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

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 linear stability theory of Taylor-Couette flows (unbounded in_z_) is described including magnetic fields, Hall effect or a density stratification in order to prepare laboratory experiments to probe the stability of differential rotation…

Astrophysics · Physics 2007-05-23 Guenther Ruediger

A modified Reynolds equation governing the steady flow of a fluid with low Reynolds number through a curvilinear, narrow tube, with its derivation from Stokes equations through asymptotic methods is presented. The channel considered may…

Mathematical Physics · Physics 2019-01-08 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov

We consider the compressible Euler equation with a Coriolis term and prove a lower bound on the time of existence of solutions in terms of the speed of rotation, sound speed and size of the initial data. Along the way, we obtain precise…

Analysis of PDEs · Mathematics 2026-04-13 Haram Ko , Benoit Pausader , Ryo Takada , Klaus Widmayer

Rayleigh-Taylor-instability(RTI) induced flow and mixing are of great importance in both nature and engineering scenarios. To capture the underpinning physics, tracers are introduced to make a supplement to discrete Boltzmann simulation of…

Fluid Dynamics · Physics 2022-03-24 Ge Zhang , Aiguo Xu , Dejia Zhang , Yingjun Li , Huilin Lai , Xiaomian Hu

Shear flows have an important impact on the dynamics in an assortment of different astrophysical objects including accreditation discs and stellar interiors. Investigating shear flow instabilities in a polytropic atmosphere provides a…

Solar and Stellar Astrophysics · Physics 2015-05-06 V. Witzke , L. J. Silvers , B. Favier

Compressibility effects in a turbulent transport of temperature field are investigated applying the quasi-linear approach for small P\'eclet numbers and the spectral $\tau$ approach for large P\'eclet numbers. Compressibility of a fluid…

Fluid Dynamics · Physics 2021-01-27 I. Rogachevskii , N. Kleeorin

Diverse chemical, energy, environmental, and industrial processes involve the flow of polymer solutions in porous media. The accumulation and dissipation of elastic stresses as the polymers are transported through the tortuous, confined…

Fluid Dynamics · Physics 2024-07-02 Emily Y. Chen , Sujit S. Datta

It is known that in a hydrodynamic Taylor-Couette system uniform rotation or a rotation law with positive shear ('super-rotation') are linearly stable. It is also known that a conducting fluid under the presence of a sufficiently strong…

Solar and Stellar Astrophysics · Physics 2016-02-17 G. Rüdiger , M. Schultz , M. Gellert , F. Stefani

Evolution of the single-mode ablative Rayleigh-Taylor instability in the presence of preheating is investigated numerically. It is found that the instability evolution depends strongly on the preheating length $L$ in front of the…

Plasma Physics · Physics 2011-04-27 W. H. Ye , X. T. He , W. Y. Zhang , M. Y. Yu

We generalize an analogy between rotating and stratified shear flows. This analogy is summarized in Table 1. We use this analogy in the unstable case (centrifugally unstable flow v.s. convection) to compute the torque in Taylor-Couette…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle , F. Hersant

In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times \mathbb{R}$. In the inviscid case there is a generic…

Analysis of PDEs · Mathematics 2021-08-24 Paolo Antonelli , Michele Dolce , Pierangelo Marcati