Nonexistence of compressible irrotational inviscid flows along infinite protruding corners
Analysis of PDEs
2018-05-23 v1
Abstract
We consider inviscid flow with isentropic coefficient greater than one. For flow along smooth infinite protruding corners we attempt to impose a nonzero limit for velocity at infinity at the upstream wall. We prove that the problem does not have any irrotational uniformly subsonic solutions, whereas rotational flows do exist. This can be considered a case of a slip-condition solid "generating" vorticity in inviscid flow.
Keywords
Cite
@article{arxiv.1704.06796,
title = {Nonexistence of compressible irrotational inviscid flows along infinite protruding corners},
author = {Volker Elling},
journal= {arXiv preprint arXiv:1704.06796},
year = {2018}
}