Accretion disk models in which surfaces of constant entropy and angular momentum coincide are possible, suggesting that this type of structure may be expected if the disk is radiation pressure dominated and if heat sources are concentrated on the equatorial plane. Attention is given to a geometrically thick accretion disk orbiting a 10-solar mass black hole, in which most of the interior is in convective equilibrium and the accretion flow and heat generation are largely confined to the layers close to the equatorial plane. Constant angular momentum and constant entropy surfaces coincide to form curved coaxial cylinders. Although the disks are marginally unstable dynamically along these cylinders, they are stable in all other directions. Critical and twice-critical accretion rates are considered.
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Paczyński et al. (1982) studied this question.