| Abstract: | We examine relativistic viscous advective accretion flows around black holes, focusing on the formation and dynamics of shock waves in these extreme environments. As matter spirals into the black hole, relativistic effects significantly alter the flow, leading to shock formation due to the interplay between attractive and repulsive forces acting on the inflowing material. By solving hydrodynamic and magnetohydrodynamic equations, we analyze how these shocks influence temperature and density profiles, enhancing energy dissipation and driving high-energy radiation emissions. Space-based X-ray observations play a crucial role in validating these models, as the high-energy radiation produced by such shocks is often observed in the X-ray spectrum, especially in active galactic nuclei, X-ray binaries and ultra-luminous X-ray sources. Our findings contribute to a deeper understanding of accretion processes in strong gravitational fields, offering insights into the energetic phenomena observed in these astrophysical systems. |