Statistics of turbulent-to-laminar transition in plane Couette flow

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 R(low), its variance stays finite while it diverges below. Accordingly, at large aspect ratio, turbulence has vanishingly small probability to decay when R >= R(low), while decay is unavoidable for R < R(low)
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Philipp Schlatter, Dan S. Henningson. Seventh Iutam Symposium On Laminar-turbulent Transition, Jun 2009, Stockholm, Sweden. Springer, 18, pp.243-246, 2010, IUTAM Bookseries. 〈10.1007/978-90-481-3723-7_38〉
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Soumis le : lundi 21 juillet 2014 - 17:15:55
Dernière modification le : jeudi 10 mai 2018 - 02:02:13

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Paul Manneville. Statistics of turbulent-to-laminar transition in plane Couette flow. Philipp Schlatter, Dan S. Henningson. Seventh Iutam Symposium On Laminar-turbulent Transition, Jun 2009, Stockholm, Sweden. Springer, 18, pp.243-246, 2010, IUTAM Bookseries. 〈10.1007/978-90-481-3723-7_38〉. 〈hal-01025987〉

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