Conformal Mapping: The Joukowski Transformation by Isabel Perry ’20, Monday, December 2, 1 – 1:45 pm, Stetson Court Classroom 110, Mathematics Colloquium
Abstract: In my presentation I will be discussing conformal mapping as a useful tool in aerodynamics. Conformal maps preserve the angles between curves, and are therefore important in simplifying computations involving geometrically complex structures. Using the Joukowski transformation, a foundational tool in airfoil theory, we will explore a physical example of conformal mapping’s usefulness by theoretically computing the circulation and lift of an airfoil. Additionally, we will briefly discuss some of the modifications to the Joukowski transformation that have allowed for more accurate physical predictions of these quantities.