Regular reflection in self-similar potential flow and the sonic criterion
Mathematical Physics
2007-10-02 v1 math.MP
Abstract
Reflection of a shock from a solid wedge is a classical problem in gas dynamics. Depending on the parameters either a regular or a irregular (Mach-type) reflection results. We construct regular reflection as an exact self-similar solution for potential flow. For some upstream Mach numbers and isentropic coefficients, a solution exists for all wedge angles allowed by the sonic criterion. This demonstrates that, at least for potential flow, weaker criteria are false.
Cite
@article{arxiv.0710.0104,
title = {Regular reflection in self-similar potential flow and the sonic criterion},
author = {Volker Elling},
journal= {arXiv preprint arXiv:0710.0104},
year = {2007}
}