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The induced downwash and lift on a wing of high aspect ratio in unsteady motion

Published online by Cambridge University Press:  04 July 2016

P. Wilmott
P. Wilmott*
Affiliation:
Mathematical Institute, Oxford
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Summary

An unsteady lifting line theory for a general motion of a wing of high aspect ratio is presented. Our analysis parallels that of Van Dyke (1964) in his solution for the steady lifting line by the method of matched asymptotic expansions but is complicated by the shedding of transverse vortices associated with variation of circulation with time. We find expressions for the downwash due to three-dimensional (finite span) effects and the lift on the wing. Calculations are presented for a wing of elliptic planform following a curved path.

Type
Research Article
Information
The Aeronautical Journal , Volume 90 , Issue 892 , February 1986 , pp. 63 - 72
Copyright
Copyright © Royal Aeronautical Society 1986 

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