Transonic potential flow around a family of quasi-elliptical aerofoil sections

A new development of the analytical hodograph theory of Chaplygin, Cherry and Lighthill is based on integral transform methods. Transonic potential flows around a family of both non-lifting and lifting quasi-elliptical two-dimensional aerofoils are obtained, and various practical examples shown. The closure of a-symmetrical aerofoils in the physical plane is ensured by a special construction. In view of the longTStanding debate on this question, a discussion of the physical aspects of these flows has been added as an Appendix. Other Appendices discuss local aspects of the hodograph transformation, and numerical problems.