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The Normal Shock at a Curved Wall in the Viscous Case

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Symposium Transsonicum II

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Summary

The problem of the ending of a normal shock at a curved wall is of interest for theoretical and applied reasons. Experimental investigations first made by ACKERET, FELDMANN and ROTT indicate a singular behaviour of the pressure gradient after the shock (expansion) at the outer edge of the boundary layer which was confirmed by calculations for inviscid flow by OSWATITSCH and ZIEREP. In the lecture we present new results which we have obtained for this problem by studying the viscous case. According to the thesis of HILDEN (Aachen 1961) suggested by OSWATITSCH we divide the flow begining at the wall in

  1. 1)

    a viscous layer near the wall with pressure induced from outside,

  2. 2)

    a frictionless, compressible shear-layer,

  3. 3)

    a frictionless, compressible transsonic potential flow.

This model allows essential simplifications in the equations and gives a solution for the boundary value problem of the normal shock at the wall. We get pressure distributions similar to experimental ones. Especially we get the same singular behaviour in the potential flow which is immediately smoothed out in the boundary layer.

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References

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Author information

Authors and Affiliations

  1. Lehrstuhl für Strömungslehre der Universität Karlsruhe, D-75 Karlsruhe, Kaiserstrasse 12, Germany

    Prof. Dr.-Ing. J. Zierep & Dr.-Ing. R. Bohning

Authors
  1. Prof. Dr.-Ing. J. Zierep
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  2. Dr.-Ing. R. Bohning
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Editor information

Editors and Affiliations

  1. Instituts für Strömungslehre, Technischen Hochschule Wien, Austria

    Klaus Oswatitsch (o. Professor und Vorstand) (o. Professor und Vorstand)

  2. Deutsche Forschungs- und Versuchsanstalt für Luft Raumfahrt e.V., Aerodynamische Versuchsanstalt, Göttingen, Germany

    Dietrich Rues (Priv. Doz.) (Priv. Doz.)

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© 1976 Springer-Verlag, Berlin/Heidelberg

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Zierep, J., Bohning, R. (1976). The Normal Shock at a Curved Wall in the Viscous Case. In: Oswatitsch, K., Rues, D. (eds) Symposium Transsonicum II. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81005-3_26

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  • DOI: https://doi.org/10.1007/978-3-642-81005-3_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81007-7

  • Online ISBN: 978-3-642-81005-3

  • eBook Packages: Springer Book Archive

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