Shock wave in the flow field of a source and a vortex source in the energy supply zone at thermal crisis

Thermal crisis of a vortex source outflowing initially in regime I into a rarefied space (into vacuum) with a transition of the supersonic flow into the subsonic flow in the shock wave, and into a stagnant space in regime II with final stagnation is considered in the model of a perfect gas with a constant heat capacity. The shock wave can be located in the energy supply zone or outside the energy release zone depending on the preset total pressure at infinity. In the absence of circulation, a cylindrical source is compared with a spherical source. The dependences of energy parameters and temperature, as well as the total pressure and density, on the coordinates of the shock wave are considered. The dependences of the critical parameters of the flow in the wake behind the zone on the coordinate of the heat supply zone, its length, and gas circulation in the cylindrical vortex source are analyzed.