Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-24T08:30:06.673Z Has data issue: false hasContentIssue false
  • English
  • Français

The Calculation of Three-Dimensional Turbulent Boundary Layers: Part II: Attachment-Line Flow on an Infinite Swept Wing

Published online by Cambridge University Press:  07 June 2016

N. A. Cumpsty  and
M. R. Head
N. A. Cumpsty
Affiliation:
Cambridge University Engineering Laboratory
M. R. Head
Affiliation:
Cambridge University Engineering Laboratory
Get access

Summary

An earlier paper described a method of calculating the turbulent boundary layer flow over the rear of an infinite swept wing. It made use of an entrainment equation and momentum integral equations in streamwise and cross-flow directions, together with several auxiliary assumptions. Here the method is adapted to the calculation of the turbulent boundary layer flow along the attachment line of an infinite swept wing. In this case the cross-flow momentum integral equation reduces to the identity 0 = 0 and must be replaced by its differentiated form. Two alternative approaches are also adopted and give very similar results, in good agreement with the limited experimental data available. It is found that results can be expressed as functions of a single parameter C*, which is evidently the criterion of similarity for attachment-line flows.

Type
Research Article
Information
Aeronautical Quarterly , Volume 18 , Issue 2 , May 1967 , pp. 150 - 164
Copyright
Copyright © Royal Aeronautical Society. 1967

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

1. Cumpsty, N. A. and Head, M. R. The calculation of three-dimensional turbulent boundary layers. Part I: Flow over the rear of an infinite swept wing. Aeronautical Quarterly, Vol. XVIII p. 55, February 1967.Google Scholar
2. Gray, W. E. The nature of the boundary layer flow at the nose of a swept wing. ARC 15 021, 1952.Google Scholar
3. Gaster, M. On the flow along swept leading edges. Aeronautical Quarterly, Vol. XVIII p. 165, May 1967 (this issue).Google Scholar
4. Rosenhead, L. (Editor.) Laminar Boundary Layers. Clarendon Press, Oxford, 1963.Google Scholar
5. Thompson, B. G. J. A new two-parameter family of mean velocity profiles for incompressible turbulent boundary layers on smooth walls. ARC 26 830, 1965.Google Scholar
6. Head, M. R. Entrainment in the turbulent boundary layer. ARC R & M 3152, 1958.Google Scholar
7. Mager, A. Generalisation of the boundary layer momentum integral equations to three-dimensional flows, including those of rotating systems. NACA Report 1067, 1952.Google Scholar
8. Johnston, J. P. Three-dimensional turbulent boundary layers. Massachusetts Institute of Technology, Gas Turbine Laboratory Report No. 39, 1957.Google Scholar
9. Gardow, E. B. The three-dimensional turbulent boundary layer in a free-vortex diffuser. Massachusetts Institute of Technology, Gas Turbine Laboratory Report No. 42, 1958.Google Scholar
10. Preston, J. H. The minimum Reynolds number for a turbulent boundary layer and the selection of a transition device. Journal of Fluid Mechanics, Vol. 3, Part 4 p. 373, 1957.Google Scholar