Analytical Method in the Linear Three-Dimensional Aerodynamics of a Thin Rectangular Wing

Abstract

The paper develops an analytical method in the classical problem on a flow around a thin rectangular plate of large span. It is shown that with a specific expansion on an orthogonal system of functions with a weight defined by qualitative properties of the solution, the initial 2d integral equation is asymptotically equivalent to a set of independent 1d integral equations. For them, we construct an asymptotic method allied to a boundary layer method, which permits development of analytical representations for basic aerodynamic characteristics. Comparison with the numerical method of discrete vortices shows that precision of the obtained solution is good not only for large but also for medium span of the wing.