Rayleigh–Taylor instability in a spherically stagnating system
- 1 May 1986
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 29 (5), 1719-1724
- https://doi.org/10.1063/1.865637
Abstract
The Rayleigh–Taylor instability induced on the fuel–pusher interface in the deceleration phase of shell implosion is investigated in spherical geometry. A linearized equation for the perturbation from the background dynamics described by a self‐similar motion is solved analytically and numerically. The effective growth rate of the Rayleigh–Taylor instability is not found to be sensitive to the compressibility. In a spherical system where the gravity and wavelength of the perturbation vary in time and space, the growth of the perturbation is found to be approximately expressed in the form ‖ξ‖∝ Rc exp[∫(αAkeffgeff)1/2dt], where keff and geff are the effective wavelength and gravity at the contact surface, with Rc the radius and αA the Atwood number.Keywords
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