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Physics of Fluids / Volume 23 / Issue 12 / LETTERS

Phys. Fluids 23, 121702 (2011); http://dx.doi.org/10.1063/1.3671738 (4 pages)

The relationship between the velocity skewness and the amplitude modulation of the small scale by the large scale in turbulent boundary layers

Romain Mathis1, Ivan Marusic1, Nicholas Hutchins1, and K. R. Sreenivasan2

1Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia
2Department of Physics and the Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA

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(Received 26 August 2011; accepted 10 October 2011; published online 23 December 2011)

A defining feature of the inner-outer interactions in wall-bounded turbulent flows is the imprint of the outer large-scale motions on the inner small scale. Recently, Mathis et al. [“Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers,” J. Fluid Mech. 628, 311 (2009)] quantified this imprint by applying the Hilbert transform to small-scale components of the fluctuating streamwise velocity, u. They found that the wall-normal profile of the amplitude modulation between the large scale and the envelope of the small scale exhibits strong resemblance to the skewness profile of u. In this study, we assess this apparent relationship and show that the Reynolds number trend in the skewness profile of u is strongly related to the amplitude modulation effect of the small scales by the large. This observation also leads to an alternative diagnostic for the amplitude modulation effect, which is one component of the skewness factor based on a scale decomposition.

© 2011 American Institute of Physics

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KEYWORDS and PACS

Keywords

amplitude modulation, boundary layer turbulence, fluctuations, Hilbert transforms

PACS

  • 47.27.nb

    Boundary layer turbulence

  • 05.40.-a

    Fluctuation phenomena, random processes, noise, and Brownian motion

  • 02.30.Uu

    Integral transforms

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3671738

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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