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

Kapoulas, A

Abstract

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

• Thesis Type: Thesis
• Deposit Date: Jul 27, 2021
• Award Date: Jan 1, 2013