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Nonexistence of compressible irrotational inviscid flows along infinite protruding corners

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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.

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Elling, V. Nonexistence of compressible irrotational inviscid flows along infinite protruding corners. Z. Angew. Math. Phys. 69, 59 (2018). https://doi.org/10.1007/s00033-018-0956-3

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  • DOI: https://doi.org/10.1007/s00033-018-0956-3

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