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The Quarterly Journal of Mechanics and Applied Mathematics 1998 51(2):241-262; doi:10.1093/qjmam/51.2.241
© 1998 by Oxford University Press
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An asympototic theory of high-aspect-ratio non-planar curved wings in steady incompressible flow

G Iosilevskii

( Faculty of Aerospace Engineering, Technion, Haifa 32000, Israel )

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 µ across the wing's surface, which is well known in the classical wing theory. Using the reciprocal {epsilon} of the aspect ratio as a small parameter, this equation is solved asymptotically to obtain µ as a series µ0 + ({epsilon} ln {epsilon})µ1 + {epsilon}µ2 +..., 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.


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