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The Effect of the Boundary Layer on the Lift of Finite Wings

Published online by Cambridge University Press:  07 June 2016

L. C. Squire
L. C. Squire*
Affiliation:
Department of Aeronautical Engineering, The Queen's University of Belfast
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Summary

The vorticity shed behind a finite wing has been studied and a condition found for steady circulation. This condition is then combined with three-dimensional boundary layer theory to find the lift of a finite wing. An example shows that on a thin ellipsoid of aspect ratio 6·37 the lift as found by the present method is 2 per cent lower than the lift obtained using a sectional boundary layer approach.

Type
Research Article
Information
Aeronautical Quarterly , Volume 14 , Issue 3 , August 1963 , pp. 241 - 253
Copyright
Copyright © Royal Aeronautical Society. 1963

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References

1. Howarth, L. The Theoretical Determination of the Lift Coefficient of a Thin Elliptic Cylinder. Proc. Roy. Soc. A, Vol. 149, 1935.Google Scholar
2. Stuper, J. Auftriebverminderung eines Flugels durch seinen Widerstand. Zeitschrift fur Flugtechnik und Motorluftschiffahrt, Vol. 24, 1933.Google Scholar
3. Goldstein, S. (Editor). Modern Developments in Fluid Dynamics. Oxford University Press, 1938.Google Scholar
4. Preston, J. H. The Approximate Calculation of the Lift of Symmetrical Aerofoils Taking Account of the Boundary Layer. R. & M. 1996, 1943.Google Scholar
5. Spence, D. A. Prediction of the Characteristics of Two-Dimensional Aerofoils. Journal of the Aeronautical Sciences, Vol. 21, p. 577, 1954.Google Scholar
6. Thwaites, B. Incompressible Aerodynamics, Chapter V. Oxford University Press, 1960.Google Scholar
7. Jeffreys, H. The Equations of Viscous Motion and the Circulation Theorem. Proceedings, Cambridge Philosophical Society, Vol. 24, 1928.Google Scholar
8. Glauert, H. The Elements of Aerofoil and Airscrew Theory. Cambridge University Press, 1926.Google Scholar
9. Lamb, H. Hydrodynamics. Cambridge University Press, 1916.Google Scholar
10. Squire, L. C. Three-Dimensional Boundary Layers. Thesis, University of Bristol, 1956.Google Scholar
11. Fage, A. and Simmons, L. F. G. An Investigation of the Air Flow Pattern in the Wake of an Aerofoil of Finite Span. Phil. Trans. Roy. Soc. A, Vol. 225, 1925.Google Scholar
12. Goldstein, S. On the Two-Dimensional Steady Flow of a Viscous Fluid Behind a Solid Body. Proc. Roy. Soc. A, Vol. 142, 1933.Google Scholar
13. Cooke, J. C. and Hall, M. G. Boundary Layers in Three Dimensions. In Vol. 2 of Progress in Aeronautical Sciences. Pergamon Press, 1962.Google Scholar
14. Squire, L. C. The Three'-Dimensional Boundary Layer Equations and Some Power Series Solutions. R. & M. 3006, 1957.Google Scholar