Exact analytical solutions for ADAFs

TL;DR

This paper derives exact two-dimensional analytical solutions for hot accretion flows without wind, considering variable viscosity and comparing with existing solutions, with potential applications to cool-core cluster nuclei.

Contribution

It presents new exact analytical solutions for ADAFs with variable viscosity, expanding understanding of accretion flow structures without wind.

Findings

Derived radially self-similar solutions

Compared solutions with existing numerical and analytical models

Potential application to cool-core cluster nuclei

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 $T_{r\varphi}$. 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.