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Title: Modified log-wake law for turbulent flow in smooth pipes
Authors: Guo, J. 
Julien, P.Y.
Keywords: Eddy viscosity
Friction factor
Log law
Log-wake law
Logarithmic matching
Pipe flow
Velocity distribution
Velocity profile
Issue Date: 2003
Source: Guo, J.,Julien, P.Y. (2003). Modified log-wake law for turbulent flow in smooth pipes. Journal of Hydraulic Research 41 (5) : 493-501. ScholarBank@NUS Repository.
Abstract: A modified log-wake law for turbulent flow in smooth pipes is developed and tested with laboratory data. The law consists of three terms: a log term, a sine-square term and a cubic term. The log term reflects the restriction of the wall, the sine-square term expresses the contribution of the pressure gradient, and the cubic term makes the standard log-wake law satisfy the axial symmetrical condition. The last two terms define the modified wake law. The proposed velocity profile model not only improves the standard log-wake law near the pipe axis but also provides a better eddy viscosity model for turbulent mixing studies. An explicit friction factor is also presented for practical applications. The velocity profile model and the friction factor equation agree very well with Nikuradse' and other recent data. The eddy viscosity model is consistent with Laufer's, Nunner's and Reichardt's experimental data. Finally, an equivalent polynomial version of the modified log-wake law is presented.
Source Title: Journal of Hydraulic Research
ISSN: 00221686
Appears in Collections:Staff Publications

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