Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-18T23:53:01.524Z Has data issue: false hasContentIssue false

Glancing interactions between single and intersecting oblique shock waves and a turbulent boundary layer

Published online by Cambridge University Press:  21 April 2006

D. J. Mee
Affiliation:
University of Queensland, Brisbane, Australia
R. J. Stalker
Affiliation:
University of Queensland, Brisbane, Australia
J. L. Stollery
Affiliation:
University of Queensland, Brisbane, Australia Permanent address: College of Aeronautics, Cranfield Institute of Technology, Bedford, UK.

Abstract

The three-dimensional interactions of weak swept oblique shock and expansion waves and a turbulent boundary layer on a flat plate are investigated. Upstream influences in a single swept interaction are found to be consistent with a model of the flow involving shock/boundary-layer interaction characteristics. The model implies that there is more rapid thickening of the boundary layer close to the shock generator and this is seen to be consistent with surface streamline patterns. It is also found that a superposition principle, which is inherent in the triple-deck model of shock/boundary-layer interactions proposed by Lighthill, can be used to predict the pressure field and surface streamlines for the case of intersecting shock interactions and for the intersection of a shock with a weak expansion.

Type
Research Article
Copyright
© 1986 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adamson, T. C. & Messiter A. F.1980 Analysis of two-dimensional interactions between shock waves and boundary layers. Ann. Rev. Fluid Mech. 12, 103138.Google Scholar
Dolling, D. S. & Bogdonoff S. M.1981 Upstream influence scaling of sharp fin-induced shock wave turbulent boundary layer interactions. AIAA Paper 81–0336.Google Scholar
Gadd G. E.1961 Interactions between normal shock waves and turbulent boundary layers. ARC R & M, 3262, 1961.
Inger G. R.1980 Upstream influence and skin friction in non-separating shock-turbulent boundary layer interactions. AIAA Paper 80–1411.Google Scholar
Inger, G. R. & Mason W. H.1976 Analytical theory of transonic normal shock-turbulent boundary-layer interaction. AIAA J. 14 (9) 12661272.Google Scholar
Korkegi R. H.1973 A simple correlation for incipient turbulent boundary-layer separation due to a skewed wave. AIAA J. 11 (11) 15781579.Google Scholar
Kubota, H. & Stollery J. L.1982 Experimental study of the interaction between a glancing shock wave and a turbulent boundary layer. J. Fluid Mech. 116, 431458.Google Scholar
Lighthill M. J.1953 On boundary layers and upstream influence II. Supersonic flows without separation Proc. R. Soc. Lond. A 217, 478507.Google Scholar
Lighthill M. J.1963 Introduction to Laminar Boundary Layer Theory. In Laminar Boundary Layers. pp. 46109 (ed. L. Rosenhead). Oxford University Press.
Mccabe A.1966 The three dimensional interaction of a shock wave with a turbulent boundary layer. Aero. Quart. 27, 231252.Google Scholar
Messiter A. F.1980 Interaction between a normal shock wave and a turbulent boundary layer at high transonic speeds. Z. angew. Math. Phys. 31, 204226.Google Scholar
Oskam B., Bogdonoff, S. M. & Vas I. E.1975 Study of the three-dimensional flow fields generated by the intersection of a skewed shock wave with a turbulent boundary layer. AFFDL TR–75–21.
Oskam B.1976 Three-dimensional flow fields generated by the interaction of a swept shock wave with a turbulent boundary layer. Gas Dynamics Lab. Rep. 1313, Princeton University.Google Scholar
Stalker R. J.1958 Shock boundary layer interactions in three dimensions. PhD thesis, Dept. Aero. Eng. University of Sydney.
Stalker R. J.1960 Sweepback effects in a turbulent boundary-layer shock-wave interaction. J. Aero. Sci. 27, 348356.Google Scholar
Stalker R. J.1984 A characteristics approach to swept shock wave-boundary layer interactions. AIAA J. 22 (11), 1626–1632.Google Scholar
Stewartson, K. & Williams P. G.1969 Self induced separation Proc. R. Soc. Lond. A 312, 181206.Google Scholar