Selfsimilar, Selfgravitating Viscous Disks
Abstract
We find a selfsimilar steady disk solution for the gravitational potentials that gives equilibrium angular velocities as powerlaw functions of the radii, Omega ~ R delta , with delta being a free parameter. In particular, when a disk is totally selfgravitating in the radial as well as perpendicular directions, we find delta = 1, leading to a flat rotation, constant temperature, and surface density proportional to R1. The disk structure is characterized by three parameters: the viscosity parameter, alpha ; the ratio of disk thickness to radius; and the massflow rate. The solution shows that the nonviscous, isothermal rotating disk modeled by Mestel can be extended to a viscous accretion disk with a constant mass inflow.
 Publication:

The Astrophysical Journal
 Pub Date:
 September 1996
 DOI:
 10.1086/310252
 Bibcode:
 1996ApJ...469L..49M
 Keywords:

 ACCRETION;
 ACCRETION DISKS;
 BLACK HOLE PHYSICS;
 GALAXIES: KINEMATICS AND DYNAMICS;
 GRAVITATION;
 STARS: FORMATION