Instability of accretion flow with a shock wave

Astronomy and Astrophysics – Astronomy

Scientific paper

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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.

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