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arXiv · 2112.12190

Subcritical transition to turbulence in quasi-two-dimensional shear flows

Christopher J. Camobreco·Alban Pothérat·Gregory J. Sheard
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Abstract

The transition to turbulence in conduits is among the longest-standing problems in fluid mechanics. Challenges in producing or saving energy hinge on understanding promotion or suppression of turbulence. While a global picture based on an intrinsically 3D subcritical mechanism is emerging for 3D turbulence, subcritical turbulence is yet to even be observed when flows approach two dimensions, e.g. under intense rotation or magnetic fields. Here, stability analysis and direct numerical simulations demonstrate a subcritical quasi-2D transition from laminar flow to turbulence, via a radically different 2D mechanism to the 3D case, driven by nonlinear Tollmien--Schlichting waves. This alternative scenario calls for a new line of thought on the transition to turbulence and should inspire new strategies to control transition in rotating devices and nuclear fusion reactor blankets.

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Christopher J. Camobreco, Alban Pothérat, Gregory J. Sheard. 2021-12-22. Subcritical transition to turbulence in quasi-two-dimensional shear flows. https://doi.org/10.1017/jfm.2023.345

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