Experiments on the Rayleigh-Taylor and Richtmyer-Meshkov Instabilities

Jeff Jacobs

Department of Aerospace and Mechanical Engineering
University of Arizona

Abstract-
Rayleigh-Taylor and Richtmyer-Meshkov instabilities are two very fundamental fluid phenomena that are of importance to the fields of astrophysics, inertial fusion and supersonic combustion. Rayleigh-Taylor instability occurs whenever a heavy fluid lies over a lighter one in a constant gravitational field and Richtmyer-Meshkov instability is the related phenomena that is generated when the acceleration is impulsive in nature, such as that generated by a shock wave that passes over an interface separating two differing density gases. Three novel experiments will be presented which improve upon previous studies in that very well defined initial states are obtained. The first is a shock tube experiment in which a well controlled interface is generated by flowing a light and a heavy gas from opposite ends of a vertical shock tube. The second is an incompressible experiment in which an impulsive acceleration is given to a box containing two miscible liquids by bouncing it off of a fixed spring. In the third experiment Rayleigh-Taylor instability is generated by accelerating a two-liquid system downward using a weight and pulley apparatus. In all three experiments, a sinusoidal initial shape is given to the interfaces by gently oscillating the fluids in the horizontal direction to produce standing waves, and PLIF is used to visualize the flow. These experiments provide particularly well visualized images of the instabilities far into the nonlinear regime and yield initial growth rate measurements that are in very good agreement with linear stability theories.


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