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

2000/02/04 by O. Petruk, Petruk, O. · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Earthquake Detection and Analysis #Ionosphere and magnetosphere dynamics #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0002112

17 pages, 8 figures

arxiv created 2000/02/04 · arxiv updated 2009/12/01

Abstract

Approximations of the Sedov self-similar solution for a strong point explosion in a medium with the power-law density distribution ρ^o∝ r^-m are reviewed and their accuracy are analyzed. Taylor approximation is extended to cases m≠ 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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