Vertical structure of Advection dominated Accretion Flows

Abstract

We solve the set of hydrodynamic (HD) equations for optically thin Advection Dominated Accretion Flows (ADAFs) by assuming radially self-similar in spherical coordinate system $(r,\theta ,\varphi )$. The disk is considered to be steady state and axi-symmetric. We define the boundary conditions at the pole and the equator of the disk and to avoid singularity at the rotation axis, the disk is taken to be symmetric with respect to this axis. Moreover, only the ${\tau }_{r\varphi }$ component of viscous stress tensor is assumed and we have set $v_{\theta }=0$. The main purpose of this study is to investigate the variation of dynamical quantities of the flow in the vertical direction by finding an analytical solution. As a consequence, we found that the advection parameter, $f^{adv}$, varies along the $\theta$ direction and reaches to its maximum near the rotation axis. Our results also show that, in terms of no-outflow solution, thermal equilibrium still exists and consequently advection cooling can balance viscous heating.

Accepted for publication to ApJ

References in corpus (6)

• Hot Accretion Flows Around Black Holes
• Mechanism of Outflows in Accretion System: Advective Cooling Cannot Balance Viscous Heating?
• Large Scale B-Field in Stationary Accretion Disks
• 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 (6)

• Two-dimensional Inflow-outflow Solution of Supercritical Accretion Flow
• The effects of toroidal magnetic field on the vertical structure of hot accretion flows
• Exact analytical solutions for ADAFs
• The influence of outflow in supercritical accretion flows
• Heating or Cooling: Study of Advective Heat Transport in the Inflow and the Outflow of Optically Thin Advection-dominated Accretion Flows
• Fourier analysis of advection-dominated accretion flows