An asympototic theory of high-aspect-ratio non-planar curved wings in steady incompressible flow

Author: Iosilevskii, G

Source: Quarterly Journal of Mechanics and Applied Mathematics, Volume 51, Number 2, May 1998 , pp. 241-262(22)

Publisher: Oxford University Press

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Abstract:

An asymptotic aerodynamic theory of a high-aspect-ratio thin wing in a steady incompressible flow is developed for the general case where the wing is curved into a swept non-planar arc. The theory is based on a boundary integral equation for (velocity) potential jump mgr across the wing's surface, which is well known in the classical wing theory. Using the reciprocal egr of the aspect ratio as a small parameter, this equation is solved asymptotically to obtain mgr as a series mgr<INF>0</INF> + (egr ln egr)mgr<INF>1</INF> + egrmgr<INF>2</INF> +..., where the respective terms are given by quadratures. The first three terms in this series, as well as the first three terms in comparable series for the lift, side-force, drag and rolling moment coefficient, are found explicitly.

Document Type: Research article

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