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Eddy Viscosity Distributions in Compressible Turbulent Boundary Layers with Injection

Published online by Cambridge University Press:  07 June 2016

L. C. Squire*
Affiliation:
Cambridge University, Engineering Department
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Summary

Shear stress, eddy viscosity and mixing length distributions have been obtained from measured boundary-layer developments over porous surfaces with air and carbon dioxide injection at Mach numbers up to M=3·6. It is found that, if the eddy viscosity is non-dimensionalised by dividing by the product of the free-stream velocity and the kinematic displacement thickness then this non-dimensional ratio is almost independent of injection ratio, but decreases slightly with Mach number.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1971

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References

1. Squire, L. C. Further experimental investigations of compressible turbulent boundary layers with air injection. ARC R & M 3627, 1970.Google Scholar
2. Dunbar, D. I. A. Turbulent boundary layers with foreign gas injection. PhD Dissertation, Cambridge University, 1969.Google Scholar
3. Jeromin, L. O. F. An experimental investigation of the compressible turbulent boundary layer with air injection. ARC R & M 3526, 1968.CrossRefGoogle Scholar
4. Maise, G. and McDonald, H. Mixing length and kinematic eddy viscosity in a compressible boundary layer. AIAA Journal, Vol 6, pp 73-80, 1968.Google Scholar
5. Klebanoff, P. S. Characteristics of turbulence in a boundary layer with zero pressure gradient. NACA Report 1247, 1955.Google Scholar
6. Spalding, D. B. and Chi, S. W. The drag of a compressible turbulent boundary layer on a smooth flat plate with and without heat transfer. Journal of Fluid Mechanics, Vol 18, pp 117-143, 1964.Google Scholar
7. Wooldridge, C. E. and Muzzy, R. J. Boundary layer turbulence measurements with mass addition and combustion. AIAA Journal, Vol 4, pp 2009-2016, 1966.Google Scholar
8. Muzzy, R. J. Surface mass addition into a turbulent boundary layer. AIAA Journal, Vol 5, pp 1029-1032, 1967.Google Scholar
9. Coles, D. The turbulent boundary layer in a compressible fluid. Rand Corporation Report R-403-PR, 1962.Google Scholar
10. Michel, R., Quemart, C. and Elena, M. Distributions de vitesses des couches limites turbulentes en écoulement compresssible, uniforme ou accéléré. La Recherche Aérospatiale, No 128, 1969.Google Scholar
11. Coles, D. Measurements in the boundary layer on a smooth flat plate in supersonic flow. Jet Propulsion Laboratory, California Institute of Technology, Report 20-71, 1953.Google Scholar
12. Matting, F. W., Chapman, D. R., Nyholm, J. R. and Thomas, A. G. Turbulent skin-friction at high Mach numbers and Reynolds numbers in air and helium. NASA TR R-82, 1961.Google Scholar
13. Moore, D. R. and Harkness, J. Experimental investigations of the compressible turbulent boundary layer at very high Reynolds numbers. Ling-Temco-Vought, Research Center Report 0.7100 14R-9, 1964.Google Scholar
14. Lobb, R. K., Winkler, E. M. and Persh, J. Experimental investigations of turbulent boundary layers in hypersonic flow. Journal of the Aeronautical Sciences, Vol 22, pp 1-9, 1955.CrossRefGoogle Scholar
15. Fenter, F. W. and Stalmach, C. J. The measurement of turbulent-boundary-layer shear stress by means of surface impact-pressure tubes. Journal of the Aero/Space Sciences, Vol 25, pp 793-4, 1958.Google Scholar
16. Michel, R. Resultats sur la couche limite turbulente aux grandes vitesses. ONERA Mémo Tech 22, 1961.Google Scholar
17. Winter, K. G. and Gaudet, L. Some recent work on compressible turbulent boundary layers and excrescence drag. Paper 15 in NASA SP 216, 1969. (See also AGARDograph 97, pp 97-124.)Google Scholar
18. Hastings, R. Unpublished RAE results.Google Scholar
19. Herring, H. J. and Mellor, G. L. A method for calculating compressible turbulent boundary layers. Paper 3 in NASA SP 216, 1969.Google Scholar
20. Cebeci, T., Smith, A. M. O. and Mosinskis, G. Calculation of compresssible adiabatic turbulent boundary layers. AIAA Preprint 69-687, 1969. (Also private communication.)CrossRefGoogle Scholar