Exact analytical solutions for ADAFs

Abstract

We obtain two-dimensional exact analytic solutions for the structure of the hot accretion flows without wind. We assume that the only non-zero component of the stress tensor is $T_{r\phi }$. Furthermore we assume that the value of viscosity coefficient $\alpha$ varies with $\theta$. We find radially self-similar solutions and compare them with the numerical and the analytical solutions already studied in the literature. The no-wind solution obtained in this paper may be applied to the nuclei of some cool-core clusters.

to appear in MNRAS

References in corpus (4)

• Mechanism of Outflows in Accretion System: Advective Cooling Cannot Balance Viscous Heating?
• On the structure of Accretion Disks with Outflows
• Self-Similar Solution of Hot Accretion Flows with Ordered Magnetic Field and Outflow
• Analytical solution for the structure of ADAFs

Cited by in corpus (2)

• The effects of toroidal magnetic field on the vertical structure of hot accretion flows
• Self-similar solutions for finite size advection-dominated accretion flows