Heavy, overpressured jets and the radio source Hercules A
The flow of jets with pressure and density initially much greater than the medium into which they are injected is investigated. Analytic expressions which describe the cocoon formation and recollimation processes are developed. Under the assumption that the rings seen in high-resolution images of Hercules A are shocks, the western lobe of this source is modeled as a heavy overpressured flow where, about 20 arcsec from the nucleus, the jet suddenly becomes much greater in pressure than the surrounding medium and freely expands. It is argued that jet models which are supersonic with respect to both the internal and external speeds are applicable, and it is found that, in spite of the prominent ring structure in Her A, the flow must be dominated by a smooth conical jet. The Mach disk, bow shock, and the plug in the radio map of the western lobe are tentatively identified as the two outer arcs of emission and the space between them, respectively.