Potential flow over a Joukowski airfoil is one of the classical problems of aerodynamics. This Demonstration plots the flow field by using complex analysis to map the simple known solution for potential flow over a circle to flow over an airfoil shape. The map is the Joukowski transformation , with the circle centered at passing through . You can vary the parameters and . The inverse Joukowski transformation then gives the streamlines. The pressure field is shown using a color-coded density plot of the pressure coefficient.