Skip to main content
SpringerLink
Log in

The eddy viscosity of turbulent equilibrium layers

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Summary

Similarity laws for the mean flow and scaling laws for the turbulent motion are used in an attempt to obtain a general expression for the eddy viscosity of equilibrium layers. It is found that ε=0.09 w 2τ Δ/w*, in which w 2τ is a Reynolds stress representative for the region of overlap between the law of the wall and the velocity-defect law, while w* is the logarithmic slope of the mean velocity profile in that region. The distinction between w τ and w* is related to the strong inhomogeneity of the mean rate of strain in the inner layer. The results of the theory agree with experimental evidence obtained from transpired equilibrium layers.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Clauser, F. H., J. Aero. Sci. 21 (1954) 91.

    Google Scholar 

  2. Clauser, F. H., Adv. Appl. Mech. 4 (1956) 1.

    Google Scholar 

  3. Townsend, A. A., J. Fluid Mech. 11 (1961) 97.

    Google Scholar 

  4. Mellor, G. L., J. Fluid Mech. 24 (1966) 255.

    Google Scholar 

  5. Mellor, G. L. and D. M. Gibson, J. Fluid Mech. 24 (1966) 225.

    Google Scholar 

  6. Townsend, A. A., J. Fluid Mech. 8 (1960) 143.

    Google Scholar 

  7. Tennekes, H., J. Fluid Mech. 21 (1965) 689.

    Google Scholar 

  8. Tennekes, H., Phys. Fluids 9 (1966) 872.

    Google Scholar 

  9. Millikan, C. B., Proc. Vth Intern. Congr. Appl. Mech. (1938) 386.

  10. Mickley, H. S. and K. A. Smith, AIAA J. 1 (1963) 1685.

    Google Scholar 

  11. Mickley, H. S., K. A. Smith, and M. D. Fraser, AIAA J. 2 (1964) 173.

    Google Scholar 

  12. Mickley, H. S., K. A. Smith, and M. D. Fraser, AIAA J. 3 (1965) 787.

    Google Scholar 

  13. Tennekes, H., AGARDograph 97 (1965) 315.

    Google Scholar 

  14. Tennekes, H., AIAA J. 3 (1965) 1950.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, The Pennsylvania State University, University Park, Pennsylvania, USA

    H. Tennekes

Authors
  1. H. Tennekes
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tennekes, H. The eddy viscosity of turbulent equilibrium layers. Appl. Sci. Res. 18, 273–279 (1968). https://doi.org/10.1007/BF00382352

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00382352

Keywords

Search

Navigation