Abstract
Fully developed turbulence measurements in pipe flow were made in the Reynolds number ranging from 10×103 to 350×103 with a hot-wire anemometer and a Pitot tube. Comparisons were made with the experimental results of previous work. The mean velocity profile and the turbulent intensity in the experiments indicate that for the mean velocity profile, in the fully developed turbulent pipe flow, von Kármán's constant κ is a function of Reynolds number, i.e. κ increases slowly with the Reynolds number. The empirical relationships could not be considered to be accurate enough to describe the fully developed turbulence over the whole Reynolds number range in pipe flow.
Similar content being viewed by others
References
Nikuradse J. Gesetzmäßigkeiten der Turbulenten Strömung in Glatten Rohren. Forschungsheft, Ausgabe B Band 3. Berlin: VDI-Verlag, 1932. 356
Laufer J. The structure of turbulence in fully developed pipe flow. NACA TN 2954, 1954
Lawn CJ. The determination of the rate of dissipation in turbulent pipe flow.J Fluid Mech, 1971, 48: 477–505
Long CE, Wiberg PL, Nowell ARM, et al. Evaluation of von Kármán's constant from integral flow parameters.J of Hydraulics Engineering, 1993, 119: 1182–1191
Millikan CB. A critical discussion of turbulent flows in channels and circular tubes. In: Den Hartog JP, et al. eds. Proc 5th Int Cong Appl Mech, New York: Wiley, 1939. 386–392
Perry AE, Abell CJ. Scaling laws for pipe-flow turbulence.J Fluid Mech, 1975, 67: 257–271
Zagarola MV, Smits AJ. Mean-flow scaling of turbulent pipe flow.J Fluid Mech, 1998, 373: 33–79
Patel VC. Calibration on the preston tube and limitations on its use in pressure gradients.J Fluid Mech, 1965, 23: 185–208
Author information
Authors and Affiliations
Additional information
The project supported by the Deutscher Akademische Austauschdienst (DAAD)
Rights and permissions
About this article
Cite this article
Jinyin, Z., Maozhao, X. & Durst, F. On the effect of Reynolds number on von Kármán’s constant. Acta Mech Sinica 18, 350–355 (2002). https://doi.org/10.1007/BF02487787
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487787