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On the asymptotic state of high Reynolds number, smooth-wall turbulent flows

Pullin, D. I. and Inoue, M. and Saito, N. (2013) On the asymptotic state of high Reynolds number, smooth-wall turbulent flows. Physics of Fluids, 25 (1). Art. No. 015116. ISSN 1070-6631.

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It is argued that the extrapolation of the log-wake law for the mean turbulent velocity profile to arbitrarily large Reynolds numbers, and also the similarity scaling for the intensity of stream-wise turbulent velocity fluctuations indicated by recent experimental measurements, are consistent with the hypothesis that smooth-wall turbulence is asymptotically transitory in the sense that these fluctuations almost everywhere decay with respect to the outer velocity scale when 1/log (Re_τ) ≪ 1, where Reτ is the Reynolds number based on the skin-friction velocity u_τ. The existence of one or more near-wall maxima in these turbulent velocity fluctuations whose value may grow with Reτ, does not invalidate the main scaling arguments. At gigantic Re_τ, this paradigm suggests that nonlinear motions and “turbulent” energy production are still present immediately adjacent to the wall, but that their amplitude becomes vanishingly small compared to the outer velocity scale.

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Additional Information:© 2013 American Institute of Physics. Received 12 September 2012; accepted 15 November 2012; published online 30 January 2013. The authors acknowledge helpful discussions with A. Leonard and P. Dimotakis.
Subject Keywords:boundary layer turbulence; wakes
Issue or Number:1
Classification Code:PACS: 47.27.wb; 47.27.nb
Record Number:CaltechAUTHORS:20130307-111811197
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Official Citation:On the asymptotic state of high Reynolds number, smooth-wall turbulent flows D. I. Pullin, M. Inoue, and N. Saito, Phys. Fluids 25, 015116 (2013), DOI:10.1063/1.4774335
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37370
Deposited By: Jason Perez
Deposited On:07 Mar 2013 21:48
Last Modified:03 Oct 2019 04:47

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