A geometric instability of the laminar axisymmetric Euler flows with oscillating flux

Tsuyoshi Yoneda

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arXiv · 1606.05744

A geometric instability of the laminar axisymmetric Euler flows with oscillating flux

Tsuyoshi Yoneda

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Abstract

The dynamics along the particle trajectories for the 3D axisymmetric Euler equations in an infinite cylinder are considered. It is shown that if the inflow-outflow is highly oscillating in time, the corresponding Euler flow cannot keep the uniformly smooth laminar profile provided that the swirling component is not zero. In the proof, Frenet-Serret formulas and orthonormal moving frame are essentially used.

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Tsuyoshi Yoneda. 2016-06-18. A geometric instability of the laminar axisymmetric Euler flows with oscillating flux. https://arxiv.org/abs/1606.05744

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