Thermal conduction and self-similar accretion flows

Generalizing Gilham's (1981) weakly viscous model to include a weak shear viscosity and a simple thermal conduction law, it is shown that a series of self-similar rotating accretion flows can be constructed. Solutions with both inflow and outflow along the polar axis are easily generated, forming a continuous sequence linking Gilham's models to a family of nonrotating spherical infall models. No physically acceptable disklike solutions are found to exist corresponding to these quasi-spherical solutions. The solutions with thermal conduction remain subject to the convective instability at moderate to high latitudes that besets both Gilham's models and Begelman and Meier's (1982) disks.