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Title: Stability of the Sedov-Taylor blast wave solutions

Abstract

Isenberg has obtained the surprising result that the Sedov-Taylor similarity solutions for spherical blast waves are unstable against radial perturbations. However, he assumed for his linearized normal mode analysis that the shock strength was unchanged by perturbations behind the shock, and therefore did not consider convective losses in the wave energy at the shock. As the first-order change in the shock strength must be included in the stability analysis, it is premature to conclude that the Sedov-Taylor solution is generally unstable.

Authors:
Publication Date:
Research Org.:
Bell Laboratories, Murray Hill, New Jersey
OSTI Identifier:
6272297
Resource Type:
Journal Article
Journal Name:
Astrophys. J.; (United States)
Additional Journal Information:
Journal Volume: 227:3
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SHOCK WAVES; STABILITY; SUPERNOVAE; CONVECTION; DISTURBANCES; FLUID FLOW; HYDRODYNAMICS; ENERGY TRANSFER; ERUPTIVE VARIABLE STARS; FLUID MECHANICS; HEAT TRANSFER; MECHANICS; STARS; VARIABLE STARS; 640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources

Citation Formats

Cheng, A. Stability of the Sedov-Taylor blast wave solutions. United States: N. p., 1979. Web. doi:10.1086/156804.
Cheng, A. Stability of the Sedov-Taylor blast wave solutions. United States. doi:10.1086/156804.
Cheng, A. Thu . "Stability of the Sedov-Taylor blast wave solutions". United States. doi:10.1086/156804.
@article{osti_6272297,
title = {Stability of the Sedov-Taylor blast wave solutions},
author = {Cheng, A.},
abstractNote = {Isenberg has obtained the surprising result that the Sedov-Taylor similarity solutions for spherical blast waves are unstable against radial perturbations. However, he assumed for his linearized normal mode analysis that the shock strength was unchanged by perturbations behind the shock, and therefore did not consider convective losses in the wave energy at the shock. As the first-order change in the shock strength must be included in the stability analysis, it is premature to conclude that the Sedov-Taylor solution is generally unstable.},
doi = {10.1086/156804},
journal = {Astrophys. J.; (United States)},
number = ,
volume = 227:3,
place = {United States},
year = {1979},
month = {2}
}