Similarity Solution for Shock Waves in Self -...

Similarity Solution for Shock Waves in Self - Gravitating and Rotating Inhomogeneous Dusty Gas with Varying Magnetic Field

Author Name : Rajesh, Siya Ram Shukla

DOI: https://doi.org/10.56025/IJARESM.2026.14072606

 ABSTRACT In the present study, a mathematical model for the self-similar propagation of strong shock waves in a non-uniform medium under the influence of an azimuthal magnetic field and radiation heat flux has been developed. The shock wave is assumed to be driven by a time-dependent energy release mechanism, where the total energy behind the shock front varies as a power function of time. The surrounding medium is considered non-homogeneous, electrically conducting, and obeying the laws of magnetogasdynamics (MGD). The governing equations of conservation of mass, momentum, energy, and magnetic induction are formulated in spherical symmetry. By introducing suitable similarity transformations, the nonlinear partial differential equations are reduced to a system of ordinary differential equations. The effects of magnetic field strength, radiation parameter, and ambient density variation on the flow variables such as velocity, density, pressure, magnetic field, and shock strength are analyzed numerically. The study reveals that the magnetic field significantly influences the propagation characteristics of the shock wave by reducing fluid compressibility and modifying the shock structure. The obtained results are useful in astrophysical explosions, supernova remnants, solar flare dynamics, plasma physics, and high-energy atmospheric phenomena.