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arXiv · 2311.07698

Chaotic dynamics of two-dimensional flows around a cylinder

L. Ridgway Scott·Rebecca Durst
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Abstract

We study flow around a cylinder from a dynamics perspective, using drag and lift as indicators. We observe that the mean drag coefficient bifurcates from the steady case when the Karman vortex street emerges. We also find a jump in the dimension of the drag/lift attractor just above Reynolds number 100. We compare the simulated drag values with experimental data obtained over the last hundred years. Our simulations suggest that a vibrational resonance in the cylinder would be unlikely for Reynolds numbers greater than 1000, where the drag/lift behavior is fully chaotic.

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L. Ridgway Scott, Rebecca Durst. 2023-11-13. Chaotic dynamics of two-dimensional flows around a cylinder. https://arxiv.org/abs/2311.07698

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