Internal structure of a thin transonic disk

Details Internal structure of a thin transonic disk Internal structure of a thin transonic disk

2002-11-12

arxiv.org/abs/astro-ph/0211260v1

Astronomy and Astrophysics

Astrophysics

9 pages, 1 figure, uses sc3conf.sty, to appear in Proc. Third Sakharov Conference on Physics, A.Semikhatov et al. (eds.), Scie

Scientific paper

The internal structure of the thin transonic disk accreting onto a nonrotating black hole inside the last stable orbit ($r < 3r_{\rm g}$) is considered within the hydrodynamical version of the Grad-Shafranov equation. It is shown that in the vicinity of the sonic surface takes place a sharp diminishing of the disk thickness. As a result, in the vertical balance equation the dynamical forces $\rho[({\bf v}\nabla){\bf v}]_{\theta}$ become important, these on the sonic surface being of the same order as the pressure gradient $\nabla_{\theta} P$. In the supersonic region the thickness of the disk is determined by the form of ballistic trajectories rather than by the pressure gradient.

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