Skip to main content
SpringerLink
Log in

Two-Scale Double-Layer Model in Wall Bounded Turbulent Flow

  • Conference paper
Turbulent Shear Flows 9

  • 340 Accesses

Abstract

A two-scale turbulence model for the solution of wall bounded flows is presented. The turbulent diffusion and production of energy are related to the scale of the big eddies, while the decay term in the energy equation is obtained from a modified dissipation equation. The three- equation model utilizes partial differential equations in the external part of the boundary layer only, and is matched with a single equation model in the inner region. The model is compared with data of duct flow and attached adverse pressure gradient flows. Good agreement with experimental data and results of Direct Numerical Simulation is obtained.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Patel, V. C., Rodi, W. and Scheuerer, G., “Turbulence Models for Near Wall and Low Reynolds Number Flow: A Review”, AIAA J., Vol. 33, 9, 1985.

    MathSciNet  Google Scholar 

  2. Mansour, M. N., Kim, J. and Moin, P., “Reynolds-Stress and Dissipation-Rate Budgets in a Turbulent Channel Flow”, Journal of Fluid Mechanics, Vol. 194, pp. 15–44, 1988.

    Article  ADS  Google Scholar 

  3. Speziale, C. G., Abid, R. and Anderson, E. C., “Critical Evaluation of Two-Equation Models for Near-Wall Turbulence”, AIAA J., Vol. 30, No 2, Feb. 1992.

    Google Scholar 

  4. Kline, S. J., Cantwell, B.J. and Lilley, G.M. Ed., “The 1980-81 AFOSR-HTTM Stanford Conference on Complex Turbulent Flows”, Stanford Univ., 1981.

    Google Scholar 

  5. Arad, E. and Wolfshtein, M., “A Comparative Study of Length Scale Equations in Turbulent Boundary Layers”, Proc. TSF 7, 1989, pp. 5.4.1–5. 4. 6.

    Google Scholar 

  6. Zeierman, S. and Wolfshtein, M., “Turbulent Time Scale for Turbulent Flow Calculation”, AIAA J., Vol. 24, No 10, 1986.

    Google Scholar 

  7. Wolfshtein, M., “The Velocity and Temperature Distribution of One Dimensional Flow with Turbulence Augmentation and Pressure Gradient”, Int. J. of Heat and Mass Trans., Vol. 12, 1969.

    Google Scholar 

  8. Arad, E. and Wolfshtein, M., “Analysis of Fourth Order Accurate Solution for Wall Bounded Turbulent Flow”, to be published.

    Google Scholar 

  9. Hanjalic, K., Launder, B. E. and Schiestel, R., “Multiple Time Scale Concept in Turbulent Transport Modelling”, TSF 2 Symp., London 1979, pp. 10. 31–10. 36.

    Google Scholar 

  10. Rodi, W. and Scheuerer, G., “Scrutinizing the k - Ɛ turbulence model under adverse pressure gradient conditions”, ASME Trans. J. Fluid Eng., Vol. 108, pp. 174–179, June 1986.

    Article  Google Scholar 

  11. Chen, H. C. and Patel, V. C., “Near Wall Turbulence Models for Complex Flows Including Separation”, AIAA J. Vol. 26, No 6, June 1988.

    Google Scholar 

  12. Rodi, W.. “Experience With Two-Layer Models Combining The k — Ɛ Model With a One Equation Model Near The Wall”AIAA-91-0216, Reno 1991.

    Google Scholar 

  13. Rodi, W. and Mansour, N. N., “One Equation Near Wall Turbulence Modeling With The Aid of Direct Simulation Data”, CTR Summer prog., Stanford 1990.

    Google Scholar 

  14. Bradshaw, P., private communication, 1992.

    Google Scholar 

  15. Jones, W. P. and Launder B. E., “The Calculation of Low Reynolds Number Phenomena With a Two-Equation Model of Turbulence”, Int. J. Heat Mass trans., Vol. 16, 1973, pp. 1119–1130

    Article  Google Scholar 

  16. Launder, B. E. and Sharma, B. I., “Application of The Energy Dissipation Model of Turbulence to Calculation of Flow near Spinning Disk”, Letters in Heat and Mass Trans., Vol. 1, 1974, pp. 131–138.

    Article  ADS  Google Scholar 

  17. Spalart, P., “Direct simulation of turbulent boundary layer up to Reϑ = 1410”, Journal of Fluid Mechanics, Vol. 187, 1988, pp. 61–98.

    Article  ADS  MATH  Google Scholar 

  18. Nagano, Y., Tagawa, M. and Tsuji, T., “Effects of adverse pressure gradient on mean flows and turbulence statistics in a boundary layer”, TSF 8, Springer Verlag 1991.

    Google Scholar 

  19. Samuel, A.G., and Joubert, P.N., “A boundary layer developing in an increasingly adverse pressure gradient”, Journal of Fluid Mechanics, Vol. 66, Pt 3, 1974, pp. 481–505.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Aerospace Engineering, Technion, Israel Institute of Technology, Haifa, 32000, Israel

    Eran Arad & Micha Wolfshtein

Authors
  1. Eran Arad
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Micha Wolfshtein
    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, D-91058, Erlangen, Germany

    Franz Durst

  2. Department of Mechanical Engineering, University of Tokyo, 7-3-1 Hongo, 113, Bunkyo-ku, Tokyo, Japan

    Nobuhide Kasagi

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

    Brian E. Launder

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

    Frank W. Schmidt

  5. Department of Mechanical Engineering, Kyoto University, 606-01, Kyoto, Japan

    Kenjiro Suzuki

  6. Department of Mechanical Engineering, Imperial College, SW7 2BX, London, UK

    James H. Whitelaw

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Arad, E., Wolfshtein, M. (1995). Two-Scale Double-Layer Model in Wall Bounded Turbulent Flow. In: Durst, F., Kasagi, N., Launder, B.E., Schmidt, F.W., Suzuki, K., Whitelaw, J.H. (eds) Turbulent Shear Flows 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78823-9_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-78823-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78825-3

  • Online ISBN: 978-3-642-78823-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation