J Austral Math Soc Ser B 35 pp127--144, 1993.

Some accurate solutions of the lifting surface integral equation

E. O. Tuck

(Received 18 December 1991; revised 31 July 1992)

Abstract

This note describes a simple numerical method for solution of the lifting surface integral equation of aerodynamics, and provides benchmark computations of up to 7 figure accuracy for flat rectangular wings of arbitrary aspect ratio. The nature of the large aspect ratio limit is also investigated numerically and asymptotically. This enables determination of the limiting behaviour near the wing tips, which is compared to the predictions of lifting line theory. Generalisations to non-rectangular wings are discussed.

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Author

E. O. Tuck: Applied Mathematics Department, The University of Adelaide, S.A. 5005, Australia.

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Last Modified: Mon Aug 21 14:24:53 2000