For $\theta>\theta_{\max}$, $\gamma\sin\theta>1$, so there is no real solution for an attached straight <oblique shock> satisfying the assumed geometry. \b[The shock detaches and becomes curved], with a locally strong, nearly normal portion and a subsonic region allowing the flow to adjust to the wall. The precise detached structure depends on the global geometry and downstream conditions; the attached-shock formula cannot be continued to these turns.

Solution

Past exam of the astrophysical fluid dynamics course of the University of Cambridge / 2021 / Section B / 4 / e / Solution

 Solution (source code)