Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.270l..52w&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 270, NO. 3/OCT1, P. L52, 1994
Astronomy and Astrophysics
Astronomy
12
Accretion, Accretion Discs, Hydrodynamics, Shock Waves, Stars: Mass-Loss, H Ii Regions, Ism: Structure
Scientific paper
We study the form of the steady-state solutions to the equations of hydrodynamics. In particular, we investigate the fate of the transonic singularity in the steady-state, spherically symmetric equations of hydrodynamics, when solutions are sought in less constrained geometries. Streamline coordinates demonstrate that the singularity persists: in the absence of other forces, flows become sonic at necks in the streamline pattern (a generalization of the de Laval nozzle). The inclusion of mass loading adds a term to the flow-speed equation of opposite sign to that from divergence of streamlines. A numerical solution calculated on an axisymmetric grid demonstrates the limits of the conclusions drawn for spherical flows. We find that the transonic flow need not be perpendicular to the sonic surface, as assumed in previous work. The form of the solutions close to the sound speed may have implications for the structure of recombination fronts in ultracompact H II regions.
Dyson John E.
Williams Richard J.
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