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Analytical Theory of Transonic Normal Shock Boundary Layer Interaction

  • G. R. Inger
  • W. H. Mason
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

This paper describes an approximate analytical theory of the nonseparating transonic interaction of a weak normal shock with an isobaric laminar or turbulent boundary layer. The resulting mixed rotation transonic flow boundary value problem is solved analytically by Fourier transformation methods. Numerical results are presented for turbulent boundary layer pressure distributions, flow geometry and skin friction.

Keywords

Skin Friction Turbulent Boundary Layer Boundary Layer Thickness Incident Shock Normal Shock 
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References

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    Lighthill, M. J., “On Boundary Layers and Upstream Influence; II, Supersonic Flow Wighout Separation,” Proc. Royal Soc, A217, No. 1131, pp. 478–507, 1953.CrossRefADSGoogle Scholar
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    Mason, W. H. and G. R. Inger, “Analytical Study of Transonic Normal Shock-Boundary Layer Interaction,” VPI & SU Report Aero-027, Blacksburg, Va., November 1974. AIAA Paper 75-831, June 1975.Google Scholar
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    Adams, M. C., “On Shock Waves in Inhomogeneous Flow,” JAS, Vol. 16, No. 9, pp. 590–685, September 1949.Google Scholar
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    Inger, G. R., “Compressible Boundary Layer Flow Past a Swept Wavy Wall with Heat Transfer and Ablation,” Astronautica Acta 19, pp. 325–338, 1971.Google Scholar
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    Ackeret, J., Feldman, F., and Rott, N., “Investigation of Compression Shocks and Boundary Layers in Gases Moving at High Speeds,” NACA TM 1113, 1947.Google Scholar
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    Conte, S. D., and deBoor, C., Elementary Numerical Analysis, 2nd edition, McGraw-Hill, New York, 1972.MATHGoogle Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1976

Authors and Affiliations

  • G. R. Inger
    • 1
  • W. H. Mason
    • 1
  1. 1.Virginia Polytechnic InstituteState University BlacksburgVirginiaUSA

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