The streamwise turbulence intensity in the intermediate layer of turbulent pipe flow

Title: The streamwise turbulence intensity in the intermediate layer of turbulent pipe flow
Authors: Vassilicos, JC
Laval, J-P
Foucaut, J-M
Stanislas, M
Item Type: Journal Article
Abstract: The spectral model of Perry et al. (J. Fluid Mech., vol. 165, 1986, pp. 163–199) predicts that the integral length scale varies very slowly with distance to the wall in the intermediate layer. The only way for the integral length scale’s variation to be more realistic while keeping with the Townsend–Perry attached eddy spectrum is to add a new wavenumber range to the model at wavenumbers smaller than that spectrum. This necessary addition can also account for the high-Reynolds-number outer peak of the turbulent kinetic energy in the intermediate layer. An analytic expression is obtained for this outer peak in agreement with extremely high-Reynolds-number data by Hultmark et al. (Phys. Rev. Lett., vol. 108, 2012, 094501; J. Fluid Mech., vol. 728, 2013, pp. 376–395). Townsend’s (The Structure of Turbulent Shear Flows, 1976, Cambridge University Press) production–dissipation balance and the finding of Dallas et al. (Phys. Rev. E, vol. 80, 2009, 046306) that, in the intermediate layer, the eddy turnover time scales with skin friction velocity and distance to the wall implies that the logarithmic derivative of the mean flow has an outer peak at the same location as the turbulent kinetic energy. This is seen in the data of Hultmark et al. (Phys. Rev. Lett., vol. 108, 2012, 094501; J. Fluid Mech., vol. 728, 2013, pp. 376–395). The same approach also predicts that the logarithmic derivative of the mean flow has a logarithmic decay at distances to the wall larger than the position of the outer peak. This qualitative prediction is also supported by the aforementioned data.
Issue Date: 9-Jun-2015
Date of Acceptance: 1-Jun-2015
URI: http://hdl.handle.net/10044/1/41798
DOI: http://dx.doi.org/10.1017/jfm.2015.241
ISSN: 1469-7645
Publisher: Cambridge University Press
Start Page: 324
End Page: 341
Journal / Book Title: Journal of Fluid Mechanics
Volume: 774
Copyright Statement: This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 320560
Keywords: Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
pipe flow boundary layer
turbulent boundary layers
turbulent flows
HIGH-REYNOLDS-NUMBER
WALL TURBULENCE
BOUNDARY-LAYERS
COMPONENT
Fluids & Plasmas
01 Mathematical Sciences
09 Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Aeronautics



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