Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..47..347l&link_type=abstract
Astrophysics and Space Science, vol. 47, Apr. 1977, p. 347-360
Astronomy and Astrophysics
Astrophysics
1
Blasts, Inviscid Flow, Supernova Remnants, Viscous Flow, Astronomical Models, Existence Theorems, Flow Distribution, Point Sources
Scientific paper
The question is considered of whether the inclusion of viscosity permits a flow solution or denies the possibility of any physically acceptable solution in the case of a spherically symmetric isothermal self-similar flow behind a blast wave from a point explosion in a medium whose density varies as some inverse power of distance. A self-similar flow equation that includes kinematic viscosity is obtained and shown to possess movable critical points, which the inviscid equation lacks. Application of the results to supernova remnants indicates that the inclusion of any self-similar viscosity leads to instability of the isothermal solution in the parameter space of viscosity. It is concluded that even in a spherical supernova explosion, the fluid flow must be a function of radius and time separately and not just in a self-similar combination.
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