https://doi.org/10.1140/epjp/s13360-025-06148-9
Regular Article
Comparison of global transonic solutions and self-similar solutions of magnetized hot accretion flow
Department of Interdisciplinary Physics and Technology, Shahid Bahonar University of Kerman, Kerman, Iran
Received:
25
September
2024
Accepted:
17
February
2025
Published online:
7
March
2025
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 
disc based on our numerical model, and the global accretion solution may be more preferable for studying the black hole’s energetic sources.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
