The propagation of strong cylindrical shock wave in a rotating axisymmetric non-ideal gas with radiation heat flux

In this manuscript, we studied a quasi-linear hyperbolic system of partial differential equations which describes the one-dimensional adiabatic unsteady flow behind a strong cylindrical shock wave propagating in a rotating non-ideal gas, which has a varying azimuthal fluid velocity together with a varying axial fluid velocity, with radiation heat flux, and similarity solutions are obtained by using the Lie group-theoretic method. The basic idea of this method is that it changes the system of PDEs representing the one-dimensional flow through the similarity variable to the system of ODEs. The flow profiles are drawn behind the shock followed by a brief discussion on the behavior of the solutions via graphs. The effects of variation in non-ideal parameter, adiabatic index of the gas, Alfven-Mach number and ambient azimuthal velocity exponent on the flow variables are described. All numerical calculations have been performed using the "Mathematica" software.