Comparison of global transonic solutions and self-similar solutions of magnetized hot accretion flow

Our aim is to obtain and compare global transonic solutions and self-similar solutions for a hot magnetized accretion flow around a non-rotating black hole. To this purpose, we have considered a magnetized, steady, axisymmetric, viscous, advective accretion flow around a non-rotating black hole. Additionally, we have taken into account thermal conduction and bremsstrahlung cooling in the disc. We have found that thermal conduction has no effect on the radial velocity, temperature, and density of the disc in the self-similar solution. However, the impact of the thermal conduction parameter is slightly more significant in the global solutions; but the effect remains very small due to the narrow range of allowed values. Additionally, both solutions show a decrease in the angular momentum with thermal conduction. Furthermore, we have calculated the maximum disc luminosity for both solutions and have shown that the disc luminosity increases more in self-similar solutions compared to global solutions. Finally, we have determined the luminosity of the Sgr A \(^{\star }\) disc based on our numerical model, and the global accretion solution may be more preferable for studying the black hole’s energetic sources.