Thickening of axisymmetric accretion disks and flows

A study is made to determine whether or not hot plasma flowing from the inner edge of an accretion disk around a black hole can thicken out of the disk plane with the onset of a Pringle-Rees thermal instability. The instability is caused by the density thinning caused by the sharp increase in radial infall velocity near the radius of the marginally stable circular orbit, or by abrupt variations in viscosity or Lightman-Eardly secular instabilities. An estimate of the thickening timescale is given. Various physically realistic situations involving radial steady-state flow and where significant disk thickening can occur in the region of the radius of the marginally stable circular orbit are identified. It is noted that its evolution into a large spherical cloud would require large velocities of the viscosity parameter and the amount of energy dissipated in the unstable region.