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The asymptotic structure of the turbulent attachment-line boundary layer

Published online by Cambridge University Press:  04 July 2016

B. W. van Oudheusden*
Affiliation:
Department of Aerospace EngineeringDelft University of TechnologyThe Netherlands

Abstract

The method of matched asymptotic expansions has been applied to analyse the asymptotic structure of the incompressible turbulent attachment-line boundary layer at large Reynolds numbers. Inner and outer solutions were obtained that give the ‘wall-unit’ and ‘velocity-defect’ represention of both the spanwise and chordwise velocity profiles. The predictions from the theory agree with experimental and DNS data in the range of fully developed turbulence.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2003 

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References

1. Pfenninger, W. Some results from the X-21 program, Part I: Flow phenomena at the leading edge of swept wings, 1965, AGARDograph 97.Google Scholar
2. Gaster, M. On the flow along swept leading edges, Aeronaut Q, 1967, 18, pp 165184.Google Scholar
3. Cumpsty, N.A. and Head, M.R. The calculation of three-dimensional turbulent boundary layers, Part III Comparison of attachment line calculations with experiment, Aeronaut Q, 1969, 20, pp 99113.Google Scholar
4. Poll, D.I.A. Transition in the infinite swept attachment line boundary layer, Aeronaut Q, 1979, 30, pp 607629.Google Scholar
5. Rosenhead, L. (Ed) Laminar Boundary Layers, 1963, Oxford University Press.Google Scholar
6. Theofilis, V. On linear and nonlinear instability of the incompressible swept attachment-line boundary layer, J Fluid Mech, 1998, 335, pp 193227.Google Scholar
7. Gaster, M. A simple device for preventing turbulent contamination on swept leading edges, J R Aero Soc, 1965, 69, pp 788789.Google Scholar
8. Poll, D.I.A. and Danks, M. Relaminarization of the swept wing attachment line by surface suction, 1994, In: Proceedings of Fourth IUTAM Symposium on Laminar-Turbulent Transition, Sendai, Japan, p 137.Google Scholar
9. Arnal, D., Juillen, J.C., Reneaux, J. and Gasparian, G. Effect of wall suction on leading edge contamination. Aero Sci and Tech, 1997, 8, pp 505517.Google Scholar
10. Spalart, P.R. Direct numerical simulation of leading-edge contamination, 1989, In: Fluid Dynamics of Three-Dimensional Flow and Transition, AGARD-CP-438, Ch 5.Google Scholar
11. Tennekes, H. and Lumley, J.L. A First Course in Turbulence, 1972 MIT Press.Google Scholar
12. Schlichting, H. and Gersten, K. Boundary Layer Theory, 2000, Eighth edition, Springer Verlag.Google Scholar
13. Mellor, G.L. and Gibson, D.M. Equilibrium turbulent boundary layers, J Fluid Mech, 1966, 24, pp 225253.Google Scholar