Propagation of Spherical Shocks in a Dusty Gas under Azimuthal Magnetic Fields and Applications

Abstract This study investigates the propagation of spherical shock waves in a dusty gas environment subject to an azimuthal magnetic field. By employing the similarity transformation technique, the governing partial differential equations of mass, momentum, energy, and magnetic flux are reduced to a system of ordinary differential equations. The analysis focuses on the impact of solid particles and magnetic field strength on the behavior of flow variables such as pressure, density, and velocity. The resulting similarity solutions provide insights into energy variation, shock wave velocity, and equilibrium conditions within the gas-solid mixture. This model finds application in astrophysical and geophysical phenomena where dust-laden plasma flows are prevalent. Keywords: Spherical Shock Waves, Dusty Gas Dynamics, Azimuthal, Magnetic Field, Magnetohydrodynamics (MHD), Similarity Solutions, Blast Wave Propagation, Two-Phase Flow, Self-Sim