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Published March 15, 2007 | public
Journal Article

Asymptotic scaling in turbulent pipe flow


The streamwise velocity component in turbulent pipe flow is assessed to determine whether it exhibits asymptotic behaviour that is indicative of high Reynolds numbers. The asymptotic behaviour of both the mean velocity (in the form of the log law) and that of the second moment of the streamwise component of velocity in the outer and overlap regions is consistent with the development of spectral regions which indicate inertial scaling. It is shown that an 'inertial sublayer' in physical space may be considered as a spatial analogue of the inertial subrange in the velocity spectrum and such behaviour only appears for Reynolds numbers R^+>5×10^3, approximately, much higher than was generally thought.

Additional Information

© 2007 The Royal Society. One contribution of 14 to a Theme Issue 'Scaling and structure in high Reynolds number wall-bounded flows'. The authors would like to thank Lex Smits for continuing use of the Superpipe data and insightful discussions, Jiang Wei-Min for experimental measurements and Paul Dimotakis for suggesting figure 8b. B.J.M. held a Royal Society Dorothy Hodgkin Fellowship for the duration of the majority of this work and J.F.M. was funded through the Leverhulme Trust (grant F/07058/H). The support of these sponsors is gratefully acknowledged.

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