Skip to main content

Boundary-Layer Integral Parameters

  • Chapter
Three-Dimensional Attached Viscous Flow

Abstract

This chapter is devoted to the formulation of boundary-layer integral parameters for three-dimensional attached viscous flow. These parameters are basically the same as in two-dimensional flow, but there are some notable differences, of most interest those regarding the boundary-layer displacement thickness. We give this thickness, as well as the momentum flow and the energy flow displacement thickness in Cartesian coordinates. For the formulation of the displacement thickness in general curvilinear coordinates see Appendix A.2.4.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
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

  1. Pohlhausen, K.: Zur näherungsweisen Integration der Differentialgleichung der laminaren Reibungsschicht. ZAMM 1, 252–268 (1921)

    Article  MATH  Google Scholar 

  2. Holstein, H., Bohlen, T.: Ein einfaches Verfahren zur Berechnung laminarer Reibungsschichten, die dem Näherungsansatz von K. Pohlhausen genügen. Lilienthal-Bericht S 10, 5–16 (1940)

    Google Scholar 

  3. Cousteix, J.: Analyse théorique et moyens de prévision de la couche limite turbulente tridimensionelle. Doctoral thesis, University of Paris VI, Paris, France (1974); Theoretical Analysis and Prediction Methods for a Three-Dimensional Turbulent Boundary-Layer. ESA TT-238 (1976)

    Google Scholar 

  4. Schlichting, H., Gersten, K.: Boundary Layer Theory, 8th edn. Springer, Heidelberg (1999)

    Google Scholar 

  5. Moore, F.K.: Displacement Effect of a Three-Dimensional Boundary Layer. NACA Rep. 1124 (1953)

    Google Scholar 

  6. Lighthill, M.J.: On Displacement Thickness. J. Fluid Mechanics 4, 383–392 (1958)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kux, J.: Über dreidimensionale Grenzschichten an gekrümmten Wänden (About Three-Dimensional Boundary Layers at Curved Surfaces). Doctoral thesis, Universität Hamburg, Germany, Institut für Schiffbau der Universität Hamburg, Bericht Nr. 273 (1971)

    Google Scholar 

  8. Hirschel, E.H., Kordulla, W.: Shear Flow in Surface-Oriented Coordinates. NNFM, vol. 4. Vieweg, Braunschweig Wiesbaden (1981)

    Book  Google Scholar 

  9. Cebeci, T., Cousteix, J.: Modeling and Computation of Boundary-Layer Flows, 2nd edn. Horizons Publ., Springer, Long Beach, Heidelberg (2005)

    Google Scholar 

  10. Piers, W.J., Schipholt, G.J., Van den Berg, B.: Calculation of the Flow Around a Swept Wing Taking Into Account the Effect of the Three-Dimensional Boundary Layer. NLR TR 75076 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ernst Heinrich Hirschel .

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Hirschel, E.H., Cousteix, J., Kordulla, W. (2014). Boundary-Layer Integral Parameters. In: Three-Dimensional Attached Viscous Flow. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41378-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-41378-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41377-3

  • Online ISBN: 978-3-642-41378-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics