Skip to main content
SpringerLink
Log in
Book cover

Turbulent Shear Flows 8 pp 81–96Cite as

Contribution to the Modelling of Near-Wall Turbulence

  • Conference paper

Abstract

The paper considers the modelling, within the framework of second-moment closure, of the turbulent stress field in the wall-adjacent sublayer. Particular attention is given to handling wall-proximity effects on the pressure-strain (ø ij ) and stress-dissipation (ε ij ) processes. Comparisons of the resultant model with the direct numerical simulations of plane channel flow show close agreement of the Reynolds stress profiles at two Reynolds numbers.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Donaldson, C. du P., “A computer study of an analytical model of boundary layer transition”, AIAA Journal, 7, 271, 1969.

    Article  ADS  MATH  Google Scholar 

  2. Shih, T.-H. and Mansour, N.N., “Modelling of near-wall turbulence”, Proc. International Symposium on Engineering Turbulence Modelling and Measurements, Dubrovnik Yugoslavia, 13, 1990.

    Google Scholar 

  3. Kim, J., Moir’, P. and Moser, R.D., “Turbulence statistics in fully developed channel flow at low Reynolds number”, J. Fluid Mechanics, 177, 133, 1987.

    Article  ADS  MATH  Google Scholar 

  4. Spalart, P., “Direct simulation of a turbulent boundary layer up to Rg = 1410”, J. Fluid Mechanics, 187, 61, 1988.

    Article  ADS  MATH  Google Scholar 

  5. Craft, T.J. and Launder, B.E., “A new model for the pressure/scalar-gradient correlation and its application to homogeneous and inhomogeneous free shear flows”, Proc. 7th Symp. Turb. Shear Flows, Paper 17–1, Stanford University, 1989.

    Google Scholar 

  6. Cresswell, R.W., Haroutunian, V., Ince, N.Z., Launder, B.E. and Szczepura, R.T., “Measurement and modelling of buoyancy-modified, elliptic turbulent shear flows”, Proc. 7th Symp. Turb. Shear Flows, Paper 12–4, Stanford University, 1989.

    Google Scholar 

  7. Launder, B.E. and Tselepidakis, D.P., “Directions in second-moment modelling of near-wall turbulence”, AIAA Paper 91–0219, 1991.

    Google Scholar 

  8. Launder, B.E. and Tselepidakis, D.P., “Progress and paradoxes in modelling near-wall turbulence”, Proc. 8th Symp. Turb. Shear Flows, Paper 29–1, Munich, 1991.

    Google Scholar 

  9. Lee, M.J. and Reynolds, W.C., “On the structure of homogeneous turbulence”, Proc. 5th Symp. Turb. Shear Flows, p. 17.7, Cornell University, 1985.

    Google Scholar 

  10. Lumley, J.L., “Computational modelling of turbulent flows”, Adv. in Applied Mech., 18, 123, 1978.

    Google Scholar 

  11. Kim, J., Personal communication, 1991.

    Google Scholar 

  12. Schumann, U., “Realizability of Reynolds stress turbulence models”, Phys. Fluids, 20, 721, 1977.

    Article  ADS  MATH  Google Scholar 

  13. Launder, B.E., “Second-moment closure: present… and future?”, Int. J. Heal and Fluid Flow, 10, 282, 1989.

    Article  Google Scholar 

  14. Shih, T-H. and Lumley, J.L., “Modeling of Pressure Correlation Terms in Reynolds Stress and Scalar Flux Equations”, Report FDA-85–3, Sibley School of Mech. and Aerospace Eng., Cornell University, 1985.

    Google Scholar 

  15. Gibson, M.M. and Launder, B.E., “Ground effects on pressure fluctuations in the atmospheric boundary layer”, J. Fluid Mechanics, 86, 491, 1978.

    Google Scholar 

  16. Launder, B.E. and Tselepidalds, D.P., “Contribution to the second-moment modelling of sublayer turbulent transport”, Invited paper, Zoran Zarió Memorial, International Seminar on Near-Wall Turbulence, Dubrovnik, Yugoslavia, 1988.

    Google Scholar 

  17. Chou, P.-Y., “On velocity correlations and the solution of the equations of turbulent fluctuation”, Quart. Applied Mathematics, 3, 38, 1945.

    Google Scholar 

  18. Bradshaw, P., Mansour, N.N. and Piomelli, U., “On local approximations of the pressure-strain term in turbulence models”, Proc. Summer Program, Center for Turbulence Research, Stanford University, 159, 1987.

    Google Scholar 

  19. Brasseur, J. and Lee, M.J., “Local structure of intercomponent energy transfer in homogeneous turbulent shear flow”, Proc. Summer Program, Center for Turbulence Research, Stanford University, 165, 1987.

    Google Scholar 

  20. Craft, T.J. and Launder, B.E., “Computation of impinging flows using second-moment closures”, Proc. 8th Symp. Turb. Shear Flows, Paper 8–5, Munich, 1991.

    Google Scholar 

  21. Launder, B.E. and Reynolds, W.C., “Asymptotic near-wall stress dissipation rates in a turbulent flow”, Phys. Fluids, 26, 1157, 1983.

    Article  ADS  MATH  Google Scholar 

  22. Daly, B.J. and Harlow, F.H., “Transport equations in turbulence”, Phys. Fluids, 13, 2634, 1970.

    Article  ADS  Google Scholar 

  23. Lumley, J.L., VII Course “An Introduction to Turbulence Modelling”, 1975.

    Google Scholar 

  24. Hanjalió, K. and Launder, B.E., “Contribution towards a Reynolds-stress closure for lowReynolds-number turbulence”, J. Fluid Mechanics, 74, 593, 1976.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mech. Eng, UMIST, PO Box 88, Manchester, M60 1QD, UK

    B. E. Launder & D. P. Tselepidakis

Authors
  1. B. E. Launder
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. P. Tselepidakis
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Lehrstuhl für Strömungsmechanik, Friedrich-Alexander-Universität, Cauerstraße 4, W-8520, Erlangen, Germany

    Franz Durst

  2. Lehrstuhl für Fluidmechanik, Technische Universität München, Arcisstraße 21, W-8000, München 2, Germany

    Rainer Friedrich

  3. Department of Mechanical Engineering, University of Manchester, Institute of Science and Technology, P.O. Box 88, M60 1QD, Manchester, UK

    Brian E. Launder

  4. Department of Mechanical Engineering, The Pennsylvania State University, 16802, University Park, PA, USA

    Frank W. Schmidt

  5. Institut für Physik der Atmosphäre, Deutsche Forschungsanstalt für Luft- und Raumfahrt (DLR), W-8031, Oberpfaffenhofen, Germany

    Ulrich Schumann

  6. Department of Mechanical Engineering, Imperial College of Science and Technology, Exhibition Road, SW7 2BX, London, UK

    James H. Whitelaw

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Launder, B.E., Tselepidakis, D.P. (1993). Contribution to the Modelling of Near-Wall Turbulence. In: Durst, F., Friedrich, R., Launder, B.E., Schmidt, F.W., Schumann, U., Whitelaw, J.H. (eds) Turbulent Shear Flows 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77674-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77674-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77676-2

  • Online ISBN: 978-3-642-77674-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation