Extended computation of the viscous Rayleigh-Taylor instability in a horizontally confined flow

Viscous effects in Rayleigh-Taylor Instability

A simple, physical approximation is developed for the effect of viscosity for stable interfacial waves and for the unstable interfacial waves which correspond to RayleighTaylor instability. The approximate picture is rigorously justified for the interface between a heavy fluid (e.g., water) and a light fluid (e.g., air) with negligible dynamic effect. The approximate picture may also be rigorou...

Rayleigh–Taylor instability in nonlinear Schrödinger flow

The Rayleigh–Taylor instability (RTI) is a fundamental fluid instability that occurs when a light fluid is accelerated into a heavier one. While techniques for observing the RTI in classical fluids continue to improve, the instability has not been demonstrated in quantum fluids. Here, we exploit the formal equivalence between condensed matter and coherent nonlinear optics to observe the superfl...

Computation of Two-Phase Mixing Properties in Rayleigh-Taylor Instability

The statistical evolution of a planar, randomly perturbed uid interface subject to Rayleigh-Taylor instability is explored through numerical simulation in two space dimensions. The data set, generated by the front-tracking code FronTier, is highly resolved and covers a large ensemble of initial perturbations. We closely approach a twofold convergence of the mean two-phase ow: convergence of the...

The Rotating Rayleigh-Taylor Instability

Granular Rayleigh-Taylor instability

A granular instability driven by gravity is studied experimentally and numerically. The instability arises as grains fall in a closed Hele-Shaw cell where a layer of dense granular material is positioned above a layer of air. The initially flat front defined by the grains subsequently develops into a pattern of falling granular fingers separated by rising bubbles of air. A transient coarsening ...