ABSTRACT
The Joukowski airfoils and the generalized Joukowski mappings are discussed in Chapter 6. We will study the potential flow analysis of airfoils using James’s method (James [1971]), which was very successful for all types of contours that do not have corner singularity. We will develop Joukowski mapping functions, compare numerical solutions of single-element airfoils by both Theodorsen’s and James’s iterative methods, and look into the mechanism of divergence of Theodorsen’s method in those cases where the image boundary is not almost circular, and finally analyze multiple-element airfoils by using von Karman-Trefftz transformations and FFT with Garrick’s method of conjugate functions.
