Küssner effect

Source: Wikipedia, the free encyclopedia.
An airfoil flying into a gust region. The airfoil speed is denoted with V and is constant, the lift force on the airfoil is given by L, and its pitching moment by M. The gust has a transverse (vertical) velocity w, which is assumed to be a constant in the gust region, left of the dashed line.

In fluid dynamics, the Küssner effect describes the unsteady aerodynamic forces on an airfoil or hydrofoil caused by encountering a transverse gust. This is directly related to the Küssner function, used in describing the effect. Both the effect and function are named after Hans Georg Küssner (1900–1984), a German aerodynamics engineer.[1]

Küssner derived an approximate model for an airfoil encountering a sudden step-like change in the transverse gust

impulse response function (known as Küssner function[3]) needed to compute the unsteady lift and moment
exerted by the air on the airfoil.

Notes

  1. ^ Hirschel, Prem and Madelung (2004) p. 283.
  2. ^ Cebeci (2005) pp. 15–16.
  3. ^ Bisplinghoff, Ashley and Halfman (1996) pp. 287–288.

References

  • H.G. Küssner (December 20, 1936), "Zusammenfassender Bericht über den instationären Auftrieb von Flügeln (Summary report on the instationary lift of wings)", Luftfahrtforschung (in German), 13 (12): 410–424
  • H.G. Küssner (1937), "Flügel- und Leitwerkflattern" (in German)
  • H.G. Küssner (1940), "Der schwingende Flügel mit aerodynamisch ausgeglichenem Ruder" (in German)
  • H.G. Küssner (1940), "Allgemeine Tragflächentheorie" (in German)
  • Ernst H. Hirschel; Horst Prem; Gero Madelung (2004), Aeronautical Research in Germany: From Lilienthal until Today, Springer, p. 287,
  • Tuncer Cebeci (2005), Analysis of Low-speed Unsteady Airfoil Flows, Springer, pp. 15–16 & 52,
  • Raymond L. Bisplinghoff; Holt Ashley; Robert L. Halfman (1996), Aeroelasticity (revised ed.), Dover, pp. 281–286,
  • John M. Eggleston (1956), Calculation of the forces and moments on a slender fuselage and vertical fin penetrating lateral gusts (PDF),
    NACA
    Technical Note 3805 Page 3
  • Beerinder Singh; Inderjit Chopra (September 2008), "Insect-Based Hover-Capable Flapping Wings for Micro Air Vehicles: Experiments and Analysis", AIAA Journal, 46 (9): 2115–2135,
  • L.M. Laudanski (July 2000), "Random disturbances, airplane loads and its fatigue life", Probabilistic Engineering Mechanics, 15 (3): 233–240,

External links