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arXiv · 1804.02635

Piecewise analytic bodies in subsonic potential flow

Volker Elling
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Abstract

We prove that there are no nonzero uniformly subsonic potential flows around bodies with three or more protruding corners, for piecewise analytic boundary and for equation of state a $\gamma$-law with $\gamma>1$. This generalizes an earlier result limited to the low-Mach limit for nondegenerate polygons. For incompressible flows we show the velocity cannot be globally bounded.

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Volker Elling. 2018-04-08. Piecewise analytic bodies in subsonic potential flow. https://arxiv.org/abs/1804.02635

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