Skip to main content

Reynolds-Number-Dependent Scaling Law for Turbulent Boundary Layers

  • Conference paper
IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 74))

  • 549 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

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.

    MATH  Google Scholar 

  • Afzal, N. (1976). Millikan's argument at moderately large Reynolds number. Phys. Fluids 19, pp. 600–602.

    Google Scholar 

  • 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

    Google Scholar 

  • Buschmann, M. H. & Gad-el-Hak., M. (2002a) The Generalized Logarithmic Law and Its Consequences, to appear AIAA-Journal, 2002

    Google Scholar 

  • 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

    Google Scholar 

  • George, W. K. & Castillo, L. (1997). Zero-pres sure-gradient turbulent boundary layer. Appl. Mech. Rev., 50(12), 689–729.

    Article  ADS  Google Scholar 

  • 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.

    Google Scholar 

  • Oberlack, M. (2001). A unified approach for symmetries in plane parallel turbulent shear flows. J. Fluid Mech., 427, pp. 299–328.

    Article  ADS  MATH  Google Scholar 

  • 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.

    Article  ADS  Google Scholar 

  • 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.

    Article  ADS  MATH  Google Scholar 

  • Österlund, J. M. (1999). Experimental studies of zero-pressure gradient turbulent boundary-layer flow. Ph.D. thesis, Royal Institute of Technology, Stockholm.

    Google Scholar 

  • Yakhot, V., Orszag, S. A. (1986). Renormalization-group analysis of turbulence. Phys. Rev. Letters, Vol. 57, pp. 1722–1724.

    Article  ADS  Google Scholar 

  • 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.

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics