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The Turbulent Boundary Layer on a Rotating Nose-Body

Published online by Cambridge University Press:  07 June 2016

T-S. Cham  and
M. R. Head
T-S. Cham
Affiliation:
Engineering Department, Cambridge University
M. R. Head
Affiliation:
Engineering Department, Cambridge University
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Summary

Earlier papers described a method of calculating three-dimensional turbulent boundary layers based on the use of momentum-integral equations in the streamwise and cross-flow directions. Here the method is applied to a problem which is initially formulated in a coordinate system appropriate to the somewhat complex body geometry. Transformation to a streamline coordinate system is then made before the application of a rapidly converging iterative method of solution. The calculations, which are confined to single Reynolds number and a particular value of the rotation parameter, show the very large increases in drag and torque that accompany early transition.

Type
Research Article
Information
Aeronautical Quarterly , Volume 22 , Issue 4 , November 1971 , pp. 389 - 402
Copyright
Copyright © Royal Aeronautical Society. 1971

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References

1. Cham, T-S. and Head, M. R. Turbulent boundary-layer flow on a rotating disc. Journal of Fluid Mechanics, Vol. 37, p. 129, 1969.Google Scholar
2. Cham, T-S. and Head, M. R. Calculation of the turbulent boundary layer in a vortex diffuser. ARC R & M 3646, 1970.Google Scholar
3. Cham, T-S. and Head, M. R. The turbulent boundary layer on a rotating cylinder in an axial stream. Journal of Fluid Mechanics, Vol. 42, p. 1, 1970.Google Scholar
4. Schlichting, H. Laminar flow about a rotating body of revolution in an axial airstream. NACATM 1415, 1953.Google Scholar
5. Owen, P. R. and Randall, D. G. Boundary layer transition on a swept-back wing. RAE TM 277, 1952.Google Scholar
6. Gregory, N., Stuart, J. T. and Walker, W. S. On the stability of three-dimensional boundary layers with application to the flow due to a rotating disc. Phil. Trans. Roy. Soc. A 248, p. 155, 1955.Google Scholar
7. Milne-Thomson, L. M. Theoretical hydrodynamics. Macmillan Press, 1962.Google Scholar
8. Cumpsty, N. A. and Head, M. R. Flow over the rear of an infinite swept wing. Aeronautical Quarterly, Vol. XVIII, p. 55, 1967.Google Scholar
9. Thompson, B. G. J. A new two-parameter family of mean velocity profiles for incompressible turbulent boundary layers on smooth walls. ARC R & M 3463, 1965.Google Scholar
10. Head, M. R. Entrainment in the turbulent boundary layer. ARC R & M 3152, 1960.Google Scholar
11. Mager, A. Generalisation of boundary layer momentum integral equations to three-dimensional flows including those of rotating systems. NACA Report 1967, 1952.Google Scholar
12. Cumpsty, N. A. A critical examination of the use of a two-dimensional turbulent profile family to represent three-dimensional boundary layers. ARC Current Paper 1068, 1970.Google Scholar