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

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Cited by in corpus (5)

• The 2D disk structure with advective transonic inflow-outflow solutions around black holes
• The effects of toroidal magnetic field on the vertical structure of hot accretion flows
• Self-similar solutions for finite size advection-dominated 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