An extension to thin aerofoil theory obtained by using eulerlets and oseenlets

Abstract

An extension and theoretical underpinning of thin aerofoil theory is given. To enablethis requires first a novel mathematical representation for a new matched asymptoticapproach. The new matched asymptotic approach is to match near - field Euler flow toa far - field Oseen flow. The novel mathematical representation is a Green's integral forEuler flow. This requires the development of Eulerlets. Once this mathematicalrepresentation is achieved, then the Taylor series approximation is applied assuming athin aerofoil body. The first term in the approximation yields standard thin aerofoiltheory, and additionally we give the next three terms in the approximation with theirorders of magnitude