Theorem of Kutta-Jukowski

The theorem of Kutta-Jukowski is the fruit of the search for two aerodynamicists, Kutta, German, and Jukowski, Russian.

This theorem quantifies the Portance undergone by a cylinder in rotation in a Fluide moving.

The relation is Portance per unit of length $=\; L\; =\; \backslash \; rho\; G\; V\; \backslash ,$, where $\backslash \; rho$ is the density of the fluid, V the speed of flow, and G the “force of vortex”, defined by $G\; =\; 2\; \backslash \; pi\; \backslash \; Omega\; r^2\; \backslash ,$, where $\backslash \; omega$ is the angular velocity of spin of the cylinder, and R is its ray.

See too

• Effect Magnus

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