Approximations of the self-similar solution for blastwave in a medium with power-law density variation

Details Approximations of the self-similar solution for blastwave in a medium with power-law density variation Approximations of the self-similar solution for blastwave in a medium with power-law density variation

2000-02-04

arxiv.org/abs/astro-ph/0002112v1

Astronomy and Astrophysics

Astrophysics

17 pages, 8 figures

Scientific paper

Approximations of the Sedov self-similar solution for a strong point explosion in a medium with the power-law density distribution \rho^o\propto r^{-m} are reviewed and their accuracy are analyzed. Taylor approximation is extended to cases m\neq 0. Two approximations of the solution are presented in the Lagrangian coordinates for spherical, cylindrical and plane geometry. These approximations may be used for the investigation of the ionization structure of the adiabatic flow, i.e., inside adiabatic supernova remnants.

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