The Passage of a Vortex Sheet through a Shock Wave.

摘要

The interaction of a plane shock wave of finite strength with a planar vortex sheet or a planar doublet distribution of weak strength is studied. Based upon the physical condition that a free vortex sheet cannot support a pressure difference, rules are established which define the change of the strength of singularity distributions in their passage through the shock. These rules are useful for the physical interpretation of the solution of the entire flow field. The time dependent solution for the entire flow field is constructed by the techniques developed for the diffraction of a shock wave by planar bodies. Solutions are presented for the passage of a vortex ring with a finite vortical core radius through a shock wave. (Author)