23 April 2001 Convective instability of radiatively cooling self-similar implosions
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Proceedings Volume 4424, ECLIM 2000: 26th European Conference on Laser Interaction with Matter; (2001) https://doi.org/10.1117/12.425613
Event: 26th European Conference on Laser Interaction with Matter (ECLIM 2000), 2000, Prague, Czech Republic
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.
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Masakatsu Murakami, Katsunobu Nishihara, "Convective instability of radiatively cooling self-similar implosions", Proc. SPIE 4424, ECLIM 2000: 26th European Conference on Laser Interaction with Matter, (23 April 2001); doi: 10.1117/12.425613; https://doi.org/10.1117/12.425613
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