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A universal scaling for low-order structure functions in the log-law region of smooth- and rough-wall boundary layers

Davidson, PA and Krogstad, PA (2014) A universal scaling for low-order structure functions in the log-law region of smooth- and rough-wall boundary layers. Journal of Fluid Mechanics, 752. pp. 140-156. ISSN 0022-1120

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Abstract

We consider the log-law layer of both smooth- and rough-wall boundary layers at large Reynolds number. A scaling theory is proposed for low-order structure functions (say 6) in the range of scales where is the Kolmogorov length and delta is the boundary layer thickness. This theory rests on the hypothesis that the turbulence in this intermediate range of scales depends only on the scale r, the local dissipation rate and the shear velocity. Crucially, the structure of the turbulence is assumed to be independent of the distance from the wall, y, except to the extent that y sets the value of the local dissipation rate. A detailed comparison is made between the predictions of the theory and data taken from both smooth- and rough-wall boundary layers. The data support the hypothesis that it is the dissipation rate, and not y, that controls the structure of the turbulence for this range of eddy sizes. Our findings provide the first unified scaling theory for both smooth- and rough-wall turbulence. © 2014 Cambridge University Press.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div A > Fluid Mechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 18:57
Last Modified: 01 Aug 2017 03:02
DOI: