Effect of Overtaking Disturbances on the Motion of Strong Cylindrical MHD Shock Waves in a Self-Gravitating Van Der Waals Gas

In the present manuscript, the analytical solution for one-dimensional adiabatic flow behind the strong shock waves propagating in a non-ideal gas following Van der Waals equation of state is obtained using the modified CCW method. The analytical expressions for the shock velocity, shock strength, pressure, density, and particle velocity are obtained in the presence of an axial and azimuthal magnetic field. The effects of overtaking disturbances on the freely propagating shocks are studied with the variation of the propagation distance \(r\) and the non-idealness parameter \(b\rho_{o}\) of the gases. Further, a comparison between the findings of the present study and the previous study has been done in graphical and tabular form. The findings confirm that the shock strength as well as the flow variables gets strengthened with the overtaking disturbances, and also the shock strength increases with the increasing non-idealness parameter of the gases. Finally, the observations confirm that the perturbed shock moves more rapidly than the incident shock and are found in good agreement with the existing results.