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196 B. Hillmer et al.<br />

c f<br />

0.010<br />

0.008<br />

0.006<br />

0.004<br />

0.002<br />

0.000 0.0 0.1 0.2<br />

x / l<br />

0.3<br />

Ma = 0.15, Re = 6.6, clean<br />

FLOWer<br />

Ma = 0.15, Re = 6.6, c = 0.25,<br />

FLOWer, Hansen<br />

Ma = 0.15, Re = 6.6, c = 0.50,<br />

FLOWer, Hansen<br />

Ma = 0.15, Re = 6.6, c = 1.00,<br />

FLOWer, Hansen<br />

Ma = 0.15, Re = 6.6, bump,<br />

h = 0.4mm, FLOWer<br />

Ma = 0.15, Re = 6.6, bump,<br />

h = 0.6mm, FLOWer<br />

Ma = 0.15, Re = 6.6, bump,<br />

h = 1.0mm, FLOWer<br />

Fig. 35.5. Measured and simulated friction coefficients cf (suction side) against<br />

axial distance over chord x/c at an angle of attack α =6 ◦<br />

The k-ω-model is not able to predict cmax l . The comparison with another<br />

turbulence model in future is reasonable. The calculated drag values are<br />

considerably below measured values. This is probably due to experimental<br />

conditions.<br />

The discrete roughness created with an obstacle as part of the airfoil<br />

contour indicates a correct trend with a decreasing lift/drag ratio against<br />

the obstacle height. However, the calculated lift/drag ratios are considerably<br />

too large. The effect on the transition location is small. The discrete roughness<br />

represented by an additional turbulence source does not have a significant<br />

effect.<br />

References<br />

1. Rooij R.P.J.O.M. van, Timmer W.A. (2003) Roughness considerations for thick<br />

rotor blade airfoils, Journal of Solar <strong>Energy</strong> Engineering 125:468–478<br />

2. Timmer W.A., Rooij R.P.J.O.M. van (2003) Summary of the delft university<br />

wind turbine dedicated airfoils, AIAA-2003-0352:11–21<br />

3. Timmer W.A., Schaffarczyk A.P. (2004) The effect of roughness on the performance<br />

of a 30% thick wind turbine airfoil at high Reynolds numbers, <strong>Wind</strong><br />

<strong>Energy</strong> 7(4):295–307<br />

4. Freudenreich K., Kaiser K., Schaffarczyk A.P., Winkler H., Stahl B. (2004)<br />

Reynolds number and rougness effects on thick airfoils for wind turbines, <strong>Wind</strong><br />

Engineering, 28(5):529–546<br />

5. Krumbein A. (2002) Coupling the DLR Navier–Stokes Solver FLOWer with an<br />

eN-Database Method for laminar-turbulent Transition Prediction on Airoils,

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