Conformal Maps and Joukowski's Transform

This lecture covers the concept of conformal maps, emphasizing the preservation of angles and the link between z and Z planes through holomorphic functions. It explores the Joukowski's transform, discussing its application in flow around ellipses and the multiplicity of solutions. The lecture also delves into the effects of thickness and camber on airfoil flows, as well as the Blasius formula and linearized profile theory. Additionally, it addresses pressure gradient effects, boundary layer behaviors, and Falkner-Skan solutions. The presentation concludes with discussions on detached boundary layers, wing profile take-off, and examples of flow around a sphere.