On the transient nature of localized pipe flow turbulence

Abstract

The onset of shear flow turbulence is characterized by turbulent patches bounded by regions of laminar flow. At low Reynolds numbers localized turbulence relaminarises, raising the question of whether it is transient in nature or it becomes sustained at a critical threshold. We present extensive numerical simulations and a detailed statistical analysis of the data, in order to shed light on the sources of the discrepancies present in the literature. The results are in excellent quantitative agreement with recent experiments and show that the turbulent lifetimes increase super-exponentially with Reynolds number. In addition, we provide evidence for a lower bound below which there are no meta-stable characteristics of the transients, i.e. the relaminarisation process is no longer memoryless.

10 pages, 4 figures, J. Fluid Mech. Revised text and figure to improve presentation and clarity. Few new simulations included

References in corpus (6)

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• Recurrence of Travelling Waves in Transitional Pipe Flow
• Relative periodic orbits in transitional pipe flow
• Transient Turbulence in Taylor-Couette Flow
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