\(\) The Joukowski transform is a stunningly simple mathematical operation that converts a circle into an airfoil.

$$w=z+\frac{c^2}{z}$$

The beauty of the transform is that ideal fluid flow past a circle is described by a classic and well known set of terms.

I made a small visualization program that allows experimentation with a Joukowski airfoil in an ideal fluid flow environment. This is meant to illustrate conformal mapping to my GES 554 class and airfoil theory to AEM 614.