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Scaling of incipient separation in high speed laminar flows

Published online by Cambridge University Press:  04 July 2016

G. R. Inger*
Affiliation:
College of Aeronautics*Cranfield Institute of Technology, UK

Abstract

This study provides the theoretical foundation for a well-established, but.heretofore empirical, criterion for incipient separation in moderately hypersonic shock/boundary layer interactions. It is based on an examination of the leading high Reynolds number approximation to triple deck theory, combined with its reformulation in terms of the reference temperature concept. The analysis further provides extensions giving the effects of both low supersonic Mach numbers and non-adiabatic wall temperatures on incipient separation.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1994 

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Footnotes

*

Visiting Professor; permanent address, Department of Aerospace Engineering and Engineering Mechanics, Iowa State University, Ames, Iowa, USA.

References

1. Stollery, J.L. Aerodynamic aspects of hypersonic flows, Proceedings of IUTAM Meeting, Marseilles, September 1992.Google Scholar
2. Stollery, J.L. Laminar and turbulent boundary layer separation at supersonic and hypersonic speeds, AGARD CP-168 Flow Separation, 1966.Google Scholar
3. Needham, D.A. Laminar separation in hypersonic flow, AIAA Paper 66-455, 1966.Google Scholar
4. Holden, M.S. A review of the characteristics of regions of shock wave/boundary layer interaction, AGARD Report 764, 1989.Google Scholar
5. Rizzetta, D.P., Burggraf, O. and Jensen, R. Triple-deck solutions for viscous supersonic and hypersonic flow past corners, J Fluid Mech, 1978, 89, (3), pp 535552.Google Scholar
6. Stewartson, K. Multistructured boundary layers on flat plates and related bodies, In Advances in Applied Mechanics, 14, Academic Press, 1971, pp 145239.Google Scholar
7. White, F. Viscous Fluid Flow, 2nd Edition, McGraw-Hill, NY, 1991, p 511.Google Scholar
8. Burggraf, O.R. The compressibility transformation and the boundary layer equation, J Assoc Sci, 1962, 29, pp 434–39.Google Scholar
9. Dorrance, W.H. Viscous Hypersonic Flow, McGraw-Hill, NY, 1968, pp 134139.Google Scholar
10. Napolitano, M., Werle, M.J. and Davis, R.T. Numerical technique for the triple-deck problem, AIAA J, July 1979, 17, pp 699706.Google Scholar
11. Burggraf, O., Rizzetta, D., Werle, M.J. and Vatsa, V.N. Effect of Reynolds number on laminar separation of a supersonic stream, AIAA J, April 1979, 17, pp 336344.Google Scholar
12. Lighthill, M.J. On boundary layers and upstream influence II. Supersonic flows without separation, Proc R Soc, 1953, A217, pp 478507.Google Scholar
13. Van dyke, M. The combined supersonic-hypersonic similarity rule, J Aeronaut Sci, 18, pp 499500.Google Scholar
15. Hakkinen, R.J., Greber, I., Trilling, L. and Abarbanel, S. The in teraction of an oblique shock wave with a laminar boundary layer, NACATM2-18-59W.Google Scholar
16. Inger, G.R. Similitude properties of high speed laminar and turbulent boundary layer incipient separation, AIAA J, May 1977, 15, pp 619623.Google Scholar
17. Inger, G.R. Hypersonic oblique shock interaction with a laminar boundary layer, Int J Turbo Jet Engine, June 1991 (see also AIAA Paper 88-0603).Google Scholar
17. Inger, G.R. Interaction of a compression ramp with a hypersonic laminar boundary layer, AIAA Paper 89-1843, June 1989.Google Scholar
18. Needham, D.A. A note on hypersonic incipient separation, AIAA J, December 1967, pp 22842285.Google Scholar
19. Stewartson, K. Theory of Laminar Boundary Layers in Compressible Fluids, Oxford University Press, London 1964.Google Scholar
20. Cheng, H.K. University of Southern California, Dept of Aerospace Eng, Unpublished manuscript (private communication).Google Scholar
21. Oswaititcsh, K. Die ablosungsbedingung von grenzschichten, In: Boundary Layer Research, Gortler, H. (ed), IUTAM Symposium Freiburg, 1957, Springer-Verlag, Berlin, pp 357367.Google Scholar
22. Inger, G.R. On the curvature of compressible boundary layer flows near separation, TAMP, 1977, 28, (6).Google Scholar
23. Stollery, J.L., Kumar, D., Atcliefe, P. and Babinsky, H. control effectiveness at hypersonic speeds, AGARD CP-514 Theoretical and Experimental Methods in Hypersonic Flows, April 1993.Google Scholar