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Dynamic Lift of Airfoils<br />
R. Grüneberger, T. Bohlen, S. Barth and J. Peinke ∗<br />
For airfoils it is known that the lift coefficient cL depends not only on the angle of<br />
attack α but also on the steadiness of the flow. Varying the angle of attack with an<br />
angular velocity ω = ∂α/∂t the lift force for angles larger than the steady stall angle<br />
clearly depends on ω, too,i.e.cL = f(α, ω). Variations of α and ω can be either due<br />
to different pitch angles of the airfoil or due to fluctuations of amplitude and direction<br />
of the flow as it is the case for wind turbines in atmospheric boundary layers.<br />
We present wind tunnel measurements. In order to quantify the dynamic stall<br />
effect, the lift of an FX79-W-151A airfoil, which is for use on wind turbines, is determined<br />
by the integral pressure distribution at the wind tunnel walls while rotating<br />
the airfoil with defined angular velocities ω. The rotation speed is varied by numeric<br />
control. The pressure measurement is performed by two sets of 40 pressure sensors<br />
at each side wall of the wind tunnel. The temporal resolution of the pressure measurement<br />
is in the range of milliseconds. For stochastic analysis the experiment is<br />
repeated several hundred times. In contrast to static lift values, there is an increase<br />
(overshoot) of lift before flow separation on the suction side occurs, dependent on ω,<br />
see Fig 1.<br />
This knowledge of the maximum lift forces is relevant for the estimation of extreme<br />
mechanical loads on wind turbine blades and therefore of special interest for wind<br />
turbine manufacturers.<br />
∗ ForWind - Center for Wind Energy Research - University of Oldenburg<br />
Figure 1: Increase of the maximum lift coefficient cL with increase of the angular<br />
velocity ω =˙α.<br />
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