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Further observations on the mean velocity distribution in fully developed pipe flow

McKeon, B. J and Li, Jun-de and Jiang, W and Morrison, J. F and Smits, A. J (2004) Further observations on the mean velocity distribution in fully developed pipe flow. Journal of Fluid Mechanics, 501. pp. 135-147. ISSN 0022-1120

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Abstract

The measurements by Zagarola & Smits (1998) of mean velocity profiles in fully developed turbulent pipe flow are repeated using a smaller Pitot probe to reduce the uncertainties due to velocity gradient corrections. A new static pressure correction (McKeon & Smits 2002) is used in analysing all data and leads to significant differences from the Zagarola & Smits conclusions. The results confirm the presence of a power-law region near the wall and, for Reynolds numbers greater than $230\,{\times}\,10^3$ ($R^+\,{>}\,5\,{\times}\,10^3$), a logarithmic region further out, but the limits of these regions and some of the constants differ from those reported by Zagarola & Smits. In particular, the log law is found for $600\,{<}\, y^+\,{<}\,0.12R^+$ (instead of $600\,{<}\,y^+\,{<}\,0.07R^+$), and the von Kármán constant $\kappa$, the additive constant $B$ for the log law using inner flow scaling, and the additive constant $B^*$ for the log law using outer scaling are found to be $0.421 \pm 0.002$, $5.60 \pm 0.08 $ and $1.20 \pm 0.10$, respectively, with 95% confidence level (compared with $0.436 \pm 0.002$, $6.15 \pm 0.08$, and $1.51 \pm 0.03$ found by Zagarola & Smits). The data also confirm that the pipe flow data for Re$_D\,{\le}\,13.6\,{\times}\,10^6$ (as a minimum) are not affected by surface roughness.

Item Type: Article
Uncontrolled Keywords: Reynolds number, velocity gradient, equation, measurement, pipe
Subjects: RFCD Classification > 290000 Engineering and Technology
Faculty/School/Research Centre/Department > Centre for Environmental Safety and Risk Engineering (CESARE)
Depositing User: Ms Phung T Tran
Date Deposited: 15 Feb 2009 12:09
Last Modified: 10 Jan 2017 11:52
URI: http://vuir.vu.edu.au/id/eprint/1732
DOI: 10.1017/S0022112003007304
ePrint Statistics: View download statistics for this item
Citations in Scopus: 132 - View on Scopus

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