NDLI: Uncertainty analysis of the von Kármán constant

Content Provider	Springer Nature Link
Author	Segalini, Antonio Örlü, Ramis Alfredsson, P. Henrik
Copyright Year	2013
Abstract	In 1930, von Kármán presented an expression for the mean velocity distribution in channel and pipe flows that can be transformed into the today well-known logarithmic velocity distribution. At the same time, he also formulated the logarithmic skin friction law and obtained a value of 0.38 for the constant named after him through pipe flow pressure drop measurements. Different approaches to determine the von Kármán constant from mean velocity measurements have been proposed over the last decades, sometimes giving different results even when employed on the same data, partly because the range over which the logarithmic law should be fitted is also under debate. Up to today, the research community has not been able to converge toward a single value and the favored values range between 0.36 and 0.44 for different research groups and canonical flow cases. The present paper discusses some pitfalls and error sources of commonly employed estimation methods and shows, through the use of boundary layer data from Österlund (1999) that von Kármán’s original suggestion of 0.38 seems still to be valid for zero pressure gradient turbulent boundary layer flows. More importantly, it is shown that the uncertainty in the determination of the von Kármán constant can never be less than the uncertainty in the friction velocity, thereby yielding a realistic uncertainty for the most debated constant in wall turbulence.
Starting Page	1
Ending Page	9
Page Count	9
File Format	PDF
ISSN	07234864
Journal	Experiments in Fluids
Volume Number	54
Issue Number	2
e-ISSN	14321114
Language	English
Publisher	Springer-Verlag
Publisher Date	2013-02-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Engineering Fluid Dynamics Fluid- and Aerodynamics Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Fluid Flow and Transfer Processes Physics and Astronomy Mechanics of Materials Computational Mechanics

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