A self-gravitating non-ideal gas with radiation-heat flux

Abstract

The propagation of a spherical shock wave in a non-ideal gas by taking into account the effects of radiation-heat flux. Radiation pressure and radiation energy are assumed to be negligible. The gas is supposed to be optically thick and self-gravitating and the initial density to be varying and obeying a power law. The shock is assumed to be transparent for radiation and the counter pressure is taken into account. Using the approximate method of Whitham, an ordinary differential equation is obtained which determine the shock velocity and the shock-Mach number. Effects of the radiation, the non-idealness of the gas and the inhomogeneity of the initial medium on the shock velocity and the shock-Mach number are obtained.