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On the Accuracy of the Representation of a Lifting Line by a Finite Set of Horseshoe Vortices

Published online by Cambridge University Press:  07 June 2016

A. R. Collar
A. R. Collar*
Affiliation:
University of Bristol
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Summary

The paper examines the error involved when the continuous distribution of lift on an unswept lifting surface is represented by a finite number of horseshoe vortices, the strengths of which are determined by a prescribed downwash. Attention is directed mainly to the case of elliptic loading, but an anti-symmetrical case is also studied to ensure that the conclusions are not peculiar to the elliptic case.

Type
Research Article
Information
Aeronautical Quarterly , Volume 9 , Issue 3 , August 1958 , pp. 232 - 250
Copyright
Copyright © Royal Aeronautical Society. 1958

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References

1. Collar, A. R. On the Reciprocal of a Segment of a Generalised Hilbert Matrix. Proc. Camb. Phil. Soc, Vol. 47, Part. 1, 1950.Google Scholar
2. Glauert, H. Aerofoil and Airscrew Theory, Second Edition. Cambridge University Press, 1947.Google Scholar