Self-similar solutions for the emergence of energy varying shock waves from plane-parallel atmospheres

Details Self-similar solutions for the emergence of energy varying shock waves from plane-parallel atmospheres Self-similar solutions for the emergence of energy varying shock waves from plane-parallel atmospheres

2007-02-09

arxiv.org/abs/astro-ph/0702252v1

Astronomy and Astrophysics

Astrophysics

8 pages, 7 figures, to appear in ApJ

Scientific paper

10.1086/513504

We present a self-similar solution to describe the propagation of a shock wave whose energy is deposited or lost at the front. Both of the propagation of the shock wave in a medium having a power-law density profile and the expansion of the medium to a vacuum after the shock breakout are described with a Lagrangian coordinate. The Chapman-Jouguet detonation is found to accelerate the medium most effectively. The results are compared with some numerical simulations in the literature. We derive the fractions of the deposited/lost energy at the shock front in some specific cases, which will be useful when applying this solution to actual phenomena.

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