Ionizing Cylindrical Shock Waves in a Rotating Homogeneous Non-ideal Gas

Similarity Solutions are obtained for one-dimensional adiabatic flow behind ionizing cylindrical shock wave propagating in a rotating non-ideal gas in presence of an azimuthal magnetic field. The electrical conductivity in the medium ahead of the shock is assumed to be negligible, which becomes infinitely large after passage of the shock. In order to obtain the similarity solutions, the initial density of the medium is assumed to be constant and the initial angular velocity to be obeying a power law and to be decreasing as the distance from the axis increases. The effects of an increase in the value of the index for variation of angular velocity of the ambient medium, in the value of the parameter of the non-idealness of the gas and in the strength of the ambient magnetic field on the shock propagation are investigated. It is observed that the non-idealness of the gas has decaying effect on the shock wave.