Magnetogasdynamic shock waves in a rotating axisymmetric non-ideal gas with increasing energy, conductive, and radiative heat fluxes

Abstract

Self-similar solutions are obtained for one-dimensional unsteady adiabatic flow behind a magnetogasdynamics cylindrical shock wave propagating in a rotational axisymmetric non-ideal gas with increasing energy and conductive and radiative heat fluxes in the presence of an azimuthal magnetic field. The azimuthal and axial components of the fluid velocity and the azimuthal magnetic field in the ambient medium are assumed to be varying and obeying power laws. In order to find the similarity solution, the angular velocity of the ambient medium is taken to be decreasing as the distance from the axis increases. Fourier’s law is used to express the heat conduction and the radiation is assumed to be of diffusion type for an optically thick gray gas model. The absorption coefficient and thermal conductivity are assumed to be dependent on temperature and density. The effects of the non-idealness of the gas and the magnetic field on the shock propagation and on the flow variables behind the shock front are investigated. A comparison between rotating and non-rotating medium is also, made. It is shown that the non-idealness of the gas and the magnetic field have a decaying effect on the shock wave, whereas the shock strength increases due to the consideration of rotating medium.