Self-Similar Accretion Flows with Convection

Details Self-Similar Accretion Flows with Convection Self-Similar Accretion Flows with Convection

1999-12-21

arxiv.org/abs/astro-ph/9912449v2

Astrophys.J. 539 (2000) 798-808

Astronomy and Astrophysics

Astrophysics

22 pages, 4 figures, final version accepted for publication in ApJ, a new appendix was added and 3 figs were modified

Scientific paper

10.1086/309268

We consider height-integrated equations of an advection-dominated accretion flow (ADAF), assuming that there is no mass outflow. We include convection through a mixing length formalism. We seek self-similar solutions in which the rotational velocity and sound speed scale as R^{-1/2}, where R is the radius, and consider two limiting prescriptions for the transport of angular momentum by convection. In one limit, the transport occurs down the angular velocity gradient, so convection moves angular momentum outward. In the other, the transport is down the specific angular momentum gradient, so convection moves angular momentum inward. We also consider general prescriptions which lie in between the two limits. When convection moves angular momentum outward, we recover the usual self-similar solution for ADAFs in which the mass density scales as rho ~ R^{-3/2}. When convection moves angular momentum inward, the result depends on the viscosity coefficient alpha. If alpha>alpha_{crit1} ~ 0.05, we once again find the standard ADAF solution. For alpha

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