Abstract
Based on an extension of the two-layer approach a compact function for the mean velocity profile of a turbulent boundary layer is presented. The profile shows an explicit dependence on the Kármán number. It is applied succesfully to profiles over a large Reynolds number range.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Afzal, N. (2001). Power law and log law velocity profiles in fully developed turbulent boundary layer flow: equivalent relations at large Reynolds numbers. Acta Mechan-ica, Vol. 151, Nos. 3 & 4, 2001, pp. 195–216.
Afzal, N. (1976). Millikan's argument at moderately large Reynolds number. Phys. Fluids 19, pp. 600–602.
Barenblatt, G. I., Chorin, A. J., Prostokishin, V. M. (2000). Analysis of experimental investigations of self-similar intermediate structures in zero-pressure boundary layers at large Reynolds number. Report No. PAM-777, Center for Pure and Applied Mathematics, University of California at Berkeley
Buschmann, M. H. & Gad-el-Hak., M. (2002a) The Generalized Logarithmic Law and Its Consequences, to appear AIAA-Journal, 2002
Buschmann, M. H. & Gad-el-Hak., M. (2002b) The debate concerning the mean-velocity profile of a turbulent boundary layer, to appear AI A A-Journal, 2002
George, W. K. & Castillo, L. (1997). Zero-pres sure-gradient turbulent boundary layer. Appl. Mech. Rev., 50(12), 689–729.
Lindgren, B., Österlund, J. M., Johansson, A. V. (2002). Evaluation of scaling laws derived from Lie-group symmetry methods in turbulent boundary leyers. AIAA 2002–1103, Reno, NV.
Oberlack, M. (2001). A unified approach for symmetries in plane parallel turbulent shear flows. J. Fluid Mech., 427, pp. 299–328.
Osaka, H., Kameda, T., Mochizuki, S. (1998). Re-examination of the Reynolds number effect on the mean flow quantities in a smooth wall turbulent boundary layer. JSME Int. J., Vol. 41, pp. 123–129.
Österlund, J. M., Johansson, A. V., Nagib, H. M., Hites, M. H. (2000). A note on the overlap region in turbulent boundary layers. Phys. Fluids, Vol. 12, pp. 1–4.
Österlund, J. M. (1999). Experimental studies of zero-pressure gradient turbulent boundary-layer flow. Ph.D. thesis, Royal Institute of Technology, Stockholm.
Yakhot, V., Orszag, S. A. (1986). Renormalization-group analysis of turbulence. Phys. Rev. Letters, Vol. 57, pp. 1722–1724.
Zagarola, M. V., Perry, A. E., Smits, A. J. (1997). Log laws or power laws: The scaling in the overlap region. Phys. Fluids, Vol. 9, pp. 2092–2100.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Buschmann, M.H., Gad-el-Hak, M. (2004). Reynolds-Number-Dependent Scaling Law for Turbulent Boundary Layers. In: Smits, A.J. (eds) IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow. Fluid Mechanics and its Applications, vol 74. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0997-3_2
Download citation
DOI: https://doi.org/10.1007/978-94-007-0997-3_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3763-1
Online ISBN: 978-94-007-0997-3
eBook Packages: Springer Book Archive