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Fluid instabifities of a uniformly imploding ablatively driven shell

Published online by Cambridge University Press:  13 March 2009

David L. Book  and
Ira B. Bernstein
David L. Book
Affiliation:
Laboratory for Computational Physics, Naval Research Laboratory, Washington, D.C.20375
Ira B. Bernstein
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Conn. 06520
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Abstract

The linear stability of a uniformly imploding shell, modelled as an ideal polytropic fluid, is investigated. Two types of unstable modes are found: incompressible irrotational perturbations localized at the outer surface, ascribable to Rayleigh—Taylor instability, and compressible modes, associated with convective instabiiity. Kidder's result for the Rayleigh—Taylor modes is shown to hold independently of the form of the shell density profile. By means of a variational principle it is shown that the criterion for convective instability is the existence of a region within which d(pp-γ)/dr> 0. Analytic solutions for both spatial and temporal dependence of the perturbations are presented, and the results applied to pellets imploded by the action of a laser or charged-particle beam.

Type
Research Article
Information
Journal of Plasma Physics , Volume 23 , Issue 3 , June 1980 , pp. 521 - 533
Copyright
Copyright © Cambridge University Press 1980

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References

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