Skip to main content

Turbulent entrance flow in a channel: An asymptotic approach

  • Part I Vorticity and Turbulence
  • Conference paper
  • First Online:
Asymptotic Modelling in Fluid Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 442))

Abstract

Entrance flow in a channel is investigated for high Reynolds numbers. In the limit Re → ∞ there exists a distinct structure of the flow field which can be taken into account by asymptotic methods. Contrary to the laminar flow situation, there is no need for an extra expansion in the immediate entrance region. The downstream expansion which results from a leading order momentum equation of slender channel type can be also used from the very beginning of the channel.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Byrne, J., Hatton, A.P., Marriot, P.G. (1970): “Turbulent flow and heat transfer in the entrance region of a parallel wall passage” in Proc. Instn. Mech. Engrs., Vol. 184, pp. 697–710

    Google Scholar 

  • Gersten, K., Herwig, H. (1992): Strömungsmechanik (Vieweg-Verlag, Braunschweig/Wiesbaden)

    Google Scholar 

  • Mellor, G.L. (1972): “The large Reynolds number asymptotic theory of turbulent boundary layers”, Int. J. Engng. Sci., Vol. 10, pp. 851–873

    Article  Google Scholar 

  • Schneider, W. (1978): Mathematische Methoden in der Strömungsmechanik (Vieweg-Verlag, Braunschweig)

    Google Scholar 

  • Van Dyke, M. (1970): “Entry flow in a channel”, J. Fluid Mech., Vol. 44, pp. 813–823

    Google Scholar 

  • Voigt, M. (1994): Die Entwicklung von Geschwindigkeits-und Temperaturfeldern in laminaren und turbulenten Kanal-und Rohrströmungen aus asymptotischer Sicht (Dissertation, Ruhr-Universität Bochum)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Pierre-Antoine Bois Emmanuel Dériat Renée Gatignol Alain Rigolot

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag

About this paper

Cite this paper

Herwig, H., Voigt, M. (1995). Turbulent entrance flow in a channel: An asymptotic approach. In: Bois, PA., Dériat, E., Gatignol, R., Rigolot, A. (eds) Asymptotic Modelling in Fluid Mechanics. Lecture Notes in Physics, vol 442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59414-0_53

Download citation

  • DOI: https://doi.org/10.1007/3-540-59414-0_53

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59414-7

  • Online ISBN: 978-3-540-49265-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics