Analytical solution for the structure of ADAFs

作者:Shadmehri Mohsen*
来源:Monthly Notices of the Royal Astronomical Society, 2014, 442(4): 3528-3532.
DOI:10.1093/mnras/stu1076

摘要

The standard advection-dominated accretion flow (ADAF) is studied using a set of self-similar analytical solutions in spherical coordinates. Our new solutions are useful for studying ADAFs without dealing with the usual mathematical complexity. We assume that the r phi component of the stress tensor dominates and the latitudinal component of the velocity is negligible; moreover, the fluid is incompressible and the solutions are radially self-similar. We show that our analytical solutions display most of the important properties of ADAFs that have already been obtained through detailed numerical solutions. According to our solutions, the density and pressure of the flow decrease from the equator to the polar regions and this reduction depends on the amount of advected energy. We also show analytically that an ADAF tends to a quasi-spherical configuration as more energy is advected with the radial flow.

  • 出版日期2014-8-21