Self-similar, Self-gravitating Viscous Disks

Details Self-similar, Self-gravitating Viscous Disks Self-similar, Self-gravitating Viscous Disks

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apj...469l..49m&link_type=abstract

Astrophysical Journal Letters v.469, p.L49

Physics

17

Accretion, Accretion Disks, Black Hole Physics, Galaxies: Kinematics And Dynamics, Gravitation, Stars: Formation

Scientific paper

We find a self-similar steady disk solution for the gravitational potentials that gives equilibrium angular velocities as power-law functions of the radii, Omega ~ R- delta , with delta being a free parameter. In particular, when a disk is totally self-gravitating in the radial as well as perpendicular directions, we find delta = 1, leading to a flat rotation, constant temperature, and surface density proportional to R-1. The disk structure is characterized by three parameters: the viscosity parameter, alpha ; the ratio of disk thickness to radius; and the mass-flow 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.

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