Subcritical Turbulent Transition in Rotating and Curved Shear Flows
by P-Y. Longaretti & O. Dauchot
arXiv.org E-print Archive, 19 Sep 2005
The effects of global flow rotation and curvature on the subcritical transition to turbulence in shear flows are examined. The relevant time-scales of the problem are identified by a decomposition of the flow into a laminar and a deviation from laminar parts, which is performed for rotating plane Couette and Taylor-Couette flows. The usefulness and relevance of this procedure are discussed at the same time. By comparing the self-sustaining process time-scale to the time-scales previously identified, an interpretation is brought to light for the behavior of the transition Reynolds number with the rotation number and relative gap width in the whole neighborhood of the non-rotating plane Couette flow covered by the available data.
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