Three-dimensional Rayleigh-Taylor instability Part 1. Weakly nonlinear theory

JW Jacobs, I Catton - Journal of fluid mechanics, 1988 - cambridge.org
Three-dimensional weakly nonlinear Rayleigh-Taylor instability is analysed. The stability of
a confined inviscid liquid and an overlying gas with density much less than that of the liquid …

Stable steady flows in Rayleigh-Taylor instability

SI Abarzhi - Physical review letters, 1998 - APS
Steady flows generated by the Rayleigh-Taylor instability (RTI) are considered for
incompressible inviscid fluid. There is a family of steady solutions, and for the first time the …

Analytical model of nonlinear evolution of single-mode Rayleigh–Taylor instability in cylindrical geometry

Z Zhao, P Wang, N Liu, X Lu - Journal of Fluid Mechanics, 2020 - cambridge.org
We present an analytical model of nonlinear evolution of two-dimensional single-mode
Rayleigh–Taylor instability (RTI) in cylindrical geometry at arbitrary Atwood number for the …

Three‐dimensional, nonlinear evolution of the Rayleigh–Taylor instability of a thin layer

W Manheimer, D Colombant, E Ott - The Physics of fluids, 1984 - aip.scitation.org
A numerical simulation scheme is developed to examine the nonlinear evolution of the
Rayleigh–Taylor instability of a thin sheet in three dimensions. It is shown that the erosion of …

Experimental study of the single-mode three-dimensional Rayleigh-Taylor instability

JP Wilkinson, JW Jacobs - Physics of fluids, 2007 - pubs.aip.org
The three-dimensional Rayleigh-Taylor instability is studied in a low Atwood number (A≈
0.15) miscible fluid system. The two fluids are contained within a Plexiglas tank that is …

Three-dimensional Rayleigh-Taylor instability Part 2. Experiment

JW Jacobs, I Catton - Journal of Fluid Mechanics, 1988 - cambridge.org
Three-dimensional Rayleigh-Taylor instability, induced by accelerating a small volume of
water down a vertical tube using air pressure, is investigated. Two geometries are studied: a …

Unstable normal mode for Rayleigh–Taylor instability in viscous fluids

R Menikoff, RC Mjolsness, DH Sharp… - The Physics of Fluids, 1977 - pubs.aip.org
The character of the growth rates of the normal modes for Rayleigh–Taylor instability of
superposed incompressible, viscous fluids is analyzed in terms of appropriately scaled …

Singularity formation during Rayleigh–Taylor instability

G Baker, RE Caflisch, M Siegel - Journal of Fluid Mechanics, 1993 - cambridge.org
During the motion of a fluid interface undergoing Rayleigh-Taylor instability, vorticity is
generated on the interface baronclinically. This vorticity is then subject to Kelvin-Helmholtz …

Analytical model of nonlinear, single-mode, classical Rayleigh-Taylor instability at arbitrary Atwood numbers

VN Goncharov - Physical review letters, 2002 - APS
An analytical model of the nonlinear bubble evolution of single-mode, classical Rayleigh-
Taylor instability at arbitrary Atwood numbers (AT) is presented. The model is based on an …

Numerical study of two fluid Rayleigh‐Taylor instability

BJ Daly - The Physics of Fluids, 1967 - pubs.aip.org
A new computing technique for the time‐dependent calculation of the interaction of two
incompressible fluids is used to study the linear and nonlinear phases of Rayleigh‐Taylor …