The Zhukovsky transform is a mathematical technique used in complex analysis and fluid dynamics. It transforms the shape of an airfoil or other objects in a way that simplifies the analysis of their flow characteristics. By mapping a circle in the complex plane to a more complex shape, it allows for easier calculations of lift and drag. This transform is particularly useful in aerodynamics, where understanding airflow around wings is crucial. It helps engineers design more efficient aircraft by providing insights into how different shapes affect performance. The Zhukovsky transform is named after the Russian mathematician Nikolai Zhukovsky, who contributed significantly to the field.