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JOUKOWSKI CURVE, AEROFOIL

Nikolai Joukowski (1847 - 1921): Russian mathematician. |

Complex parametrization: ,
where , is the circle passing by A(a,0) if .
Quartic? |

The Joukowski curves are the images of circles of the plane by the conformal map of Joukowski ; when the initial circle (*C*) passes by *A*(*a*,0) or *A'*(-*a*,0) (fixed points of the map), the Joukowski curve has a cuspidal point at *A*, and, in some cases, is an aerofoil.

The Joukowski transformation realises a conformal representation of the outside of the disk associated to (*C*) onto the outside of the curve, which enables to study the flowing problem around a plane wing with this shape by reducing it to the case of a circle.

Construction of the curve, using the initial curve and its image by the transformation .

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© Robert FERRÉOL, Jacques MANDONNET 2017