The relevance of the Eddington limit to thick accretion disks

Thick accretion disks with narrow funnels around massive black holes are considered promising models for active galactic nuclei. These models assume a supercritical accretion rate and emit collimated beams with super-Eddington luminosities. We have made approximate calculations of the interaction between the emerging radiation and the walls for an optically thin funnel. The results are sensitive to the sound velocity and to the viscosity parameter α. They suggest that a significant particle luminosity can accompany the radiation in the super-Eddington case. By applying an Eddington type limit based on mechanical equilibrium to a suitably chosen interior surface in the disk, we find that energy transport, if radiative, can strongly limit the efficiency of these models.