ON THE ATTACHED CURVED SHOCK IN FRONT OF A SHARP-NOSED AXIALLY SYMMETRICAL BODY PLACED IN A UNIFORM STREAM

摘要

The flow behind the attached curved shock near the nose of an axially symmetrical body placed in a uniform stream is investigated by considering the perturbations from the initial Taylor-Maccoll conical solution. The first-order perturbation yields the ratio between the initial radii of curvature of the shock wave and the body. When higherorder perturbations are included, a regular shock wave near the nose leads to a body shape which has a logarithmic singularity at the nose. If seems, therefore, that, for a given regular body, the shock-wave shape probably has a singularity at the vertex, although the initial radius of curvature remains finite.