Abstract
A study of turbulence decay in plane Couette flow at large aspect ratio suggests an alternative spatiotemporal interpretation to the current chaotic transient paradigm. It is supported by numerical simulations of a reduced semi-realistic two-dimensional partial-differential model. Evidence comes from the distribution of the sizes of laminar domains nucleating in the turbulent state. Statistical analysis shows that, above some well-defined Reynolds number Rlow, its variance stays finite while it diverges below. Accordingly, at large aspect ratio, turbulence has vanishingly small probability to decay when R≥Rlow, while decay is unavoidable for R < Rlow.
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Manneville, P. (2010). Statistics of turbulent-to-laminar transition in plane Couette flow. In: Schlatter, P., Henningson, D. (eds) Seventh IUTAM Symposium on Laminar-Turbulent Transition. IUTAM Bookseries, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3723-7_38
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DOI: https://doi.org/10.1007/978-90-481-3723-7_38
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