Time Dependence of Advection Dominated Accretion Flow with a Toroidal Magnetic Field

Abstract

The present study examines self-similarity evolution of advection dominated accretion flow (ADAF) in the presence of a toroidal magnetic field. In this research, it was assumed that the angular momentum transport is due to viscous turbulence and $\alpha$-prescription was used for kinematics coefficient of viscosity. In order to solve the integrated equations which govern the dynamical behavior of the accretion flow, self-similar solution was used. The solutions show that the behavior of physical quantities in a dynamical ADAF are different from steady accretion flow and a disk with polytropic approach. The solution indicates a transonic point in the accretion flow for all selected amounts of advection parameter. Also, by adding strength of the magnetic field and the degree of advection, the radial-thickness of the disk decreased and the disk compressed. The model implies that the flow has differential rotation and is sub-Keplerian at small radii and is super-Keplerian in large radii.

7 pages, 4 figures, accepted by MNRAS

References in corpus (1)

• Accretion Discs with Strong Toroidal Magnetic Fields

Cited by in corpus (9)

• The Effect of Toroidal Magnetic Field on Thickness of a Viscose-Resistive Hot Accreting Flow
• Dynamics of Hot Accretion Flow with Thermal Conduction
• Viscous and resistive accretion flows with radially self-similar and outflows
• Standing shocks in magnetized advection accretion flows onto a rotating black hole
• Self-similar solutions of viscous and resistive ADAFs with thermal conduction
• Time dependence of advection dominated accretion flow around a rotating compact object
• Anchoring polar magnetic field in a stationary thick accretion disk
• Self-similar Evolutionary Solutions for Accreting Magneto-fluid around a Compact Object with Finite Electrical Conductivity
• Self-Similar Solutions for Viscous and Resistive ADAF