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Proceedings Paper

Convective instability of radiatively cooling self-similar implosions
Author(s): Masakatsu Murakami; Katsunobu Nishihara
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Paper Abstract

The linear convective instability of imploding gaseous masses is investigated with a self-similar solution, which takes radiation heat conduction into account. The solution shows that the implosion process continuously transits from initial adiabatic regime to consequent non-adiabatic regime, where the mechanical compression work and the radiation loss balance such that the Péclet number of the system is kept constant. The transition accompanies the decrease in the polytropic index, r d(logp)/d(log p) where p and p are respectively the pressure and density, with the adiabatic index i( r) as its initial vaiue. As a result of the radiative cooling, the fluid becomes unstable to convective modes, when the criterion for instability, d(p/pT)/dr <0, is fulfilled in the core. The spatial and temporal dependence of the perturbations are presented.

Paper Details

Date Published: 23 April 2001
PDF: 4 pages
Proc. SPIE 4424, ECLIM 2000: 26th European Conference on Laser Interaction with Matter, (23 April 2001); doi: 10.1117/12.425613
Show Author Affiliations
Masakatsu Murakami, Osaka Univ. (Japan)
Katsunobu Nishihara, Osaka Univ. (Japan)


Published in SPIE Proceedings Vol. 4424:
ECLIM 2000: 26th European Conference on Laser Interaction with Matter
Milan Kalal; Karel Rohlena; Milan Sinor, Editor(s)

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