Thin accretion disks in the Paczyński-Wiita pseudo-potential

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes, Accretion Disks, Hydrodynamics, Equilibrium

Scientific paper

As first shown by Urpin (1984) [Urpin, V. A. (1984), Hydrodynamic flows in accretion disks, Astronom. Zh., 61, pp. 84-90, (also 1984, Soviet Astronom., 28, p. 50)], thin accretion disks exhibit backflows. Using the expansion formalism of Kluźniak and Kita (2000) [Kluźniak, W. and Kita, D. (2000), Three dimensional structure of an alpha accretion disk, astro-ph/0006266], we investigate the structure of a thin polytropic disk in the Paczyński-Wiita pseudo-potential. Close to the equatorial plane the radial velocity changes sign at a certain distance from the black hole. As expected, the velocity profile corresponds to backflow at large distances and a strong inflow close to the inner edge of the disk. The inner edge of the accretion disk turns out to be at three Schwarzschild radii (r = 6MG/c^2).

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