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Rayleigh-Taylor Instability for Compressible Fluids
The Physics of Fluids, 1964The stability problem of an accelerating plane interface separating compressible fluids is formulated in general terms. In the limit of small wavelength disturbances, a generalized form of Taylor's value for the growth rate is obtained. For the particular case of constant acceleration and static isothermal equilibrium, the criterion for instability ...
Mitchner, M., Landshoff, R.
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Rayleigh-Taylor instability in elastic solids
Physical Review E, 2005We present an analytical model for the Rayleigh-Taylor instability that allows for an approximate but still very accurate and appealing description of the instability physics in the linear regime. The model is based on the second law of Newton and it has been developed with the aim of dealing with the instability of accelerated elastic solids.
A R, Piriz +4 more
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Rayleigh–Taylor instability in the presence of rotation
The Physics of Fluids, 1976A heavy uniform fluid is superposed on a lighter one. The two uniform fluids are separated by a layer of transition of finite thickness in which the density increases exponentially in the vertical direction. The growth rate and the wavenumber of the mode of maximum instability are obtained when the whole system rotates uniformly about a vertical axis.
Chakraborty, B. B., Chandra, Jyoti
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The mixing transition in Rayleigh–Taylor instability
Journal of Fluid Mechanics, 2004A large-eddy simulation technique is described for computing Rayleigh–Taylor instability. The method is based on high-wavenumber-preserving subgrid-scale models, combined with high-resolution numerical methods. The technique is verified to match linear stability theory and validated against direct numerical simulation data.
Cook, Andrew W. +2 more
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Rayleigh-Taylor instability in spherical geometry
Physical Review A, 1986An analysis of the Rayleigh-Taylor instability in a spherical geometry is presented. Expanding any initial perturbation at a spherical surface between two fluids in spherical harmonics ${Y}_{\mathrm{lm}}$ and further assuming an exponential time growth of the expansion coefficients, an eigenvalue equation for the growth rate is obtained.
, Gupta, , Lawande
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Rayleigh–Taylor instability in complex stratifications
Journal of Fluid Mechanics, 2005The Rayleigh–Taylor instability of a system of three fluids separated by one unstable and one stable interface has been investigated experimentally. The experiments were gravitationally driven and conducted with miscible liquids consisting of salt solutions and fresh water.
Jacobs, J. W., Dalziel, S. B.
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Energy transfer in Rayleigh-Taylor instability
Physical Review E, 2002The spatial structure and energy budget for Rayleigh-Taylor instability are examined using results from a 512 x 512 x 2040 point direct numerical simulation. The outer-scale Reynolds number of the flow follows a rough t(3) power law and reaches a final value of about 5500.
Andrew W, Cook, Ye, Zhou
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Production of reproducible Rayleigh–Taylor instabilities
Review of Scientific Instruments, 1979A device is described that excites individual modes of the standing wave spectrum for surface waves on water in a water tank of rectangular cross section. By synchronizing the downward acceleration of the tank with the standing wave on the water, Rayleigh–Taylor instabilities with reproducible characteristics are excited at the air–water interface.
R, Popil, F L, Curzon
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A comparison of mix models for the Rayleigh–Taylor instability
Computer Physics Communications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jacob Waltz, T. A. Gianakon
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Dynamic stabilisation of rayleigh-taylor instability
Astrophysics and Space Science, 1982Residual instabilities (associated with disturbances of small wavelengths in the vertical direction) present in a vertically-oscillating system comprised of a stratified fluid with density increasing exponentially in a vertically upward direction and subjected to a gravitational field acting vertically downward are shown to be removable by a magnetic ...
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