A Study of One-dimensional Weak Shock Propagation Under the Action of Axial and Azimuthal Magnetic Field: An Analytical Approach

The present paper presents an analytical study of the one-dimensional weak shock wave problem in a perfect gas under action generalized magnetic field subjected to jump conditions (R-H conditions). is considered axial and azimuthal cylindrically symmetric configuration. By considering straightforward approach, explicit solution exhibiting time-space dependency for gas-dynamical flow parameters total energy (generated during propagation from center explosion) has been obtained significant influence fields (axial azimuthal) results are analyzed graphically. From outcome, it worth noticing that increasing value Mach number field, decay process physical (density, pressure, pressure) bit slower, whereas velocity profile increase rapidly with respect time. Moreover, values Shock-Cowling grows