Computer Science – Sound
Scientific paper
May 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.191..571p&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 191, May 1980, p. 571-579.
Computer Science
Sound
30
Flow Stability, Hydrodynamic Equations, Standing Waves, Stellar Mass Accretion, Traveling Waves, Perturbation Theory, Sound Waves, Stellar Gravitation, Subsonic Flow, Wentzel-Kramer-Brillouin Method
Scientific paper
Spherically symmetrical accretion onto a compact gravitating object is considered from a purely hydrodynamical viewpoint while disregarding heating and cooling processes. The study derives the radial perturbation equation, expresses it in a Eulerian form which is simpler than the Lagrangian form considered, for example, by Balazs (1972), and discusses the relation between the two formulations. This perturbation equation is used for the stability analysis of standing waves as well as for the study of short wavelength traveling waves which are a generalization of Parker's (1966) traveling wave solutions in the sense that they are not restricted to isothermal flows. These traveling waves can cause fluctuations in the mass accretion rate to grow large, but will not drive the unperturbed solution away from its assumed stationary profile. The waves conserve the total energy contained in the perturbation.
Ostriker Jeremiah P.
Petterson Jacobus A.
Silk Joseph
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