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192 B. Hillmer et al.<br />

For a better basic comprehension of the flow regime at discrete roughness<br />

and for improved modelling further numerical flow simulations of the airfoil<br />

with trip wire and zigzag tape have been carried out. In the simulations the<br />

obstacle is aerodynamically represented by modifying the airfoil contour and<br />

by modifying the turbulence energy equation.<br />

35.2 Measurements<br />

The numeric results are compared with measurements for the airfoil<br />

DU97-300mod with a relative thickness of 30% and a modified trailing edge<br />

thickness of 0.49%. The measurements have been carried out in cooperation<br />

with the wind turbine manufacturer De<strong>Wind</strong> at DNW’s cryogenetic<br />

wind tunnel in Cologne in 2003. Reynolds numbers between 1 and 10 M and<br />

Mach numbers (Ma) between 0.1 and 0.2 were obtained by decreasing the<br />

fluid temperature down to 100K. Surface roughness was investigated using<br />

Carborundum of different grain sizes in the leading edge region as well as<br />

zigzag tape and cylindrical trip wire at different locations. In this study<br />

experimental results with 11 mm wide zigzag tape of 0.4 mm and 0.6 mm<br />

height and trip wire of 1.0 mm height are analysed. The devices are located<br />

on the suction side at 30% of the chord.<br />

35.3 Modelling<br />

The used CFD-code FLOWer (release 116.4) has been developed by the<br />

German Aerospace Center (DLR) as a part of the research project<br />

MEGAFLOW. The code requires a block structured grid and solves the<br />

Reynolds averaged Navier–Stokes (RANS) equation. Krumbein [5] implemented<br />

a prediction module for the laminar-turbulent transition. The module<br />

is coupled to the boundary layer calculation allowing free transition simulations.<br />

In the present study an e N -database method is used as transition<br />

criterion. The parameter N is set to N = 3. According to Mack’s correlation<br />

this corresponds to a turbulence intensity of 0.85%. The Wilcox k–ω-model is<br />

applied.<br />

Two dimensional C-grids are created with the hyperbolic grid generator<br />

KGrid3D [6] developed at the University of Applied Sciences Westküste. The<br />

number of cells for the used grid is between 46,000 and 48,000. The airfoil contour<br />

line is segmented into 600 cells. In order to achieve a sufficient resolution<br />

of the boundary layer calculation the height of the cells at the profile surface<br />

is decreased down to 1 µm. In the normal direction to the surface 60–75 cells<br />

are created. The wake flow area covers 30 times the chord length using 30<br />

cells in this direction.<br />

The first CFD-model uses a grid created with an obstacle as part of the<br />

airfoil contour. Figure 35.1 illustrates the grid around the modelled obstacle.

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