Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 314 / 2 / c

For an oblique shock, boost parallel to the front by the upstream tangential speed. The transformed upstream flow is normal, so part b applies. Inviscid momentum balance has no tangential stress and therefore makes the tangential velocity continuous. Transforming back giveswhile all normal velocity, density, and pressure relations from part b remain unchanged with $M_x$ the normal Mach number.