Internal structure of a thin transonic disk
Abstract
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 GradShafranov 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2002
 arXiv:
 arXiv:astroph/0211260
 Bibcode:
 2002astro.ph.11260B
 Keywords:

 Astrophysics
 EPrint:
 9 pages, 1 figure, uses sc3conf.sty, to appear in Proc. Third Sakharov Conference on Physics, A.Semikhatov et al. (eds.), Scientific World, Moscow (2003)