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A Note on the Evaluation of the Supersonic Downwash Integral

Published online by Cambridge University Press:  07 June 2016

B. A. Hunn
B. A. Hunn*
Affiliation:
lately of Hawker Aircraft Ltd.
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Summary

To calculate tail loads in flight it is necessary to know the angle of downwash at all points of the tailplane for any given value of wing incidence. Current trends in aircraft design place the tailplane off the plane of the wing. There exist solutions for the downwash in the z=0 plane for a delta wing with subsonic leading edges. This note gives a form of integral suitable for numerical evaluation which determines the downwash in the plane of symmetry (y=0) of a delta wing with subsonic leading edges. This note also points out an apparent error in Ref. 4 by G. N. Ward and gives a closed form for the downwash at a point whose forward Mach cone totally includes an arrowhead wing with supersonic trailing edges and whose centre line coincides with the axis of the cone.

Type
Research Article
Information
Aeronautical Quarterly , Volume 5 , Issue 2 , July 1954 , pp. 111 - 118
Copyright
Copyright © Royal Aeronautical Society. 1954

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References

1. Lomax, H., Heaslet, M. A. and Fuller, F. B. (1951). Integrals and Integral Equations in Linearized Wing Theory. N.A.C.A. Report 1054, 1951.Google Scholar
2. Lomax, H., Sluder, L. and Heaslet, M. A. (1950). The Calculation of Downwash Behind Supersonic Wings with an Application to Triangular Planforms. N.A.C.A. Report 957, 1950.Google Scholar
3. Robinson, A. and Hunter-tod, J. H. (1947). Bound and Trailing Vortices in the Linearized Theory of Supersonic Flow and the Downwash in the Wake of a Delta Wing. R. & M. 2409, 1947.Google Scholar
4. Ward, G. N. (1949). Calculation of Downwash Behind a Supersonic Wing. The Aeronautical Quarterly, Vol. 1, May 1949.Google Scholar
5. Copson, E. T. (1935). The Theory of Functions of a Complex Variable. Oxford University Press, 1935.Google Scholar