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Kutta–Joukowski theorem is an inviscid theory, but it is a good approximation for real viscous flow in typical aerodynamic applications. [2] Kutta–Joukowski theorem relates lift to circulation much like the Magnus effect relates side force (called Magnus force) to rotation. [3] However, the circulation here is not induced by rotation of the ...
Calculating the lift per unit span using Kutta–Joukowski requires a known value for the circulation. In particular, if the Kutta condition is met, in which the rear stagnation point moves to the airfoil trailing edge and attaches there for the duration of flight, the lift can be calculated theoretically through the conformal mapping method.
This is known as the Kutta–Joukowski theorem. [6] This equation applies around airfoils, where the circulation is generated by airfoil action; and around spinning objects experiencing the Magnus effect where the circulation is induced mechanically. In airfoil action, the magnitude of the circulation is determined by the Kutta condition. [6]
Kutta condition; Kutta–Joukowski theorem; Kuznetsov NK-14; Kuzyk quantum gap; Kyong Wonha; Kyriakos Tamvakis; K·p perturbation theory; Kármán line; Kármán vortex street; Kármán–Howarth equation; Källén–Lehmann spectral representation; Köhler theory; König's theorem (kinetics) Küssner effect
Lifting line theory supposes wings that are long and thin with negligible fuselage, akin to a thin bar (the eponymous "lifting line") of span 2s driven through the fluid. . From the Kutta–Joukowski theorem, the lift L(y) on a 2-dimensional segment of the wing at distance y from the fuselage is proportional to the circulation Γ(y) about the bar a
He was also responsible for the eponymous water hammer equation used by civil engineers. He published a derivation for the maximum energy obtainable from a turbine in 1920, at the same time as German scientist Albert Betz. [3] This is known controversially as Betz's law, as this result was also derived by British scientist Frederick W. Lanchester.
The force on a rotating cylinder is an example of Kutta–Joukowski lift, [2] named after Martin Kutta and Nikolay Zhukovsky (or Joukowski), mathematicians who contributed to the knowledge of how lift is generated in a fluid flow. [3]
1910 – Nikolay Zhukovsky introduces the Joukowsky transform and the Kutta–Joukowski theorem based on the work of Kutta. 1911 – Augustus Edward Hough Love predicts the existence of Love surface waves. [48] 1915–1916 – Frederick W. Lanchester comes up with the Lanchester's laws, a set of differential equations that were practical for ...