AN ASYMPOTOTIC THEORY OF HIGH-ASPECT-RATIO NONPLANAR CURVED WINGS IN STEADY INCOMPRESSIBLE-FLOW

An asymptotic aerodynamic theory of a high-aspect-ratio thin wing in a steady incompressible flow is developed for the general case where th e wing is curved into a swept non-planar are. The theory is based on a boundary integral equation for (velocity) potential jump mu across th e wing's surface, which is well known in the classical wing theory. Us ing the reciprocal epsilon of the aspect ratio as a small parameter, t his equation is solved asymptotically to obtain mu as a series mu(0) (epsilon In epsilon)mu(1) + epsilon mu(2) +..., 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, si de-force, drag and rolling moment coefficients, are found explicitly.