Propagation of Shock Waves in Non-Ideal Magneto Hydrodynamic Flows with Thermal Radiation and Viscosity Effects

This paper investigates the propagation behavior of shock waves in a one- dimensional, non-ideal magneto hydrodynamic (MHD) flow considering the effects of viscosity and thermal radiation. A modified set of MHD equations accounting for non-ideal gas behavior is developed. The impact of thermal conductivity, radiation absorption, and viscous dissipation on shock strength, entropy change, and flow variables is analyzed. The study provides a theoretical framework supplemented by a key theorem that characterizes entropy rise across the shock front in the presence of dissipative mechanisms. The results reveal that thermal radiation and viscosity contribute significantly to shock smoothing and entropy augmentation.