Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pasj...46..257n&link_type=abstract
PASJ: Publications of the Astronomical Society of Japan, vol. 46, no. 3, p. 257-265
Astronomy and Astrophysics
Astronomy
32
Black Holes (Astronomy), Deposition, Dynamic Stability, Hydrodynamics, Shock Waves, Eigenvalues, Mathematical Models, Perturbation
Scientific paper
The dynamical instability of accretion flow onto a black hole with a standing shock wave is investigated. When gas possessing angular momentum accretes onto a black hole, the flow can be associated with a standing shock wave. If the flow is decelerated at the pre-shock side of the front, it is unstable and the shock front leaves its equilibrium position. Assuming an isothermal accreting gas flow and a psuedo-Newtonian potential, we obtained the eigenvalues and eigenfunctions of unstable perturbations. The non-linear evolution of the instability was also studied by a numerical simulation. The physical mechanism of the instability is explained in terms of shock wave propagation. It is shown that the motion of the shock front depends on the balance between the total pressures of the pre- and post-shock flows.
Hanawa Tomoyuki
Nobuta Koji
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