A new tip loss correction, initially developed for 1D Blade Element/Momentum (BEM) computations (submitted to Wind Energy), is now extended to 2D Actuator Disc/Navier–Stokes (AD/NS) computations and 3D Actuator Line/Navier–Stokes (AL/NS) computations. In the paper, it is shown that the tip loss correction is an important and necessary step for actuator/Navier–Stokes models. Computed results are compared to experimental data and to results from BEM computations using the new tip correction as well as the original one of Glauert (Aerodynamic Theory, Dover, New York, Chap. VII, Div. L, pp. 251–268). From the results it is concluded that the tip loss correction has been correctly employed in the Navier–Stokes based actuator models. The results also demonstrate that the difference between actuator line and actuator disk-based models may increase, especially for flows at a low tip speed ratio. Since the flows at a low tip speed ratio are too far to be considered as axisymmetrical flows, the actuator disk models that are based on axisymmetrical flow behaviors may not be valid.

1.
Shen, W. Z., Mikkelsen, R., Sørensen, J. N., and Bak, C., 2004, “Tip Loss Corrections For Wind Turbine Computations,” submitted to Wind Energy.
2.
Glauert, H., 1963, “Airplane Propellers,” Aerodynamic Theory, W. F. Durand, ed., Dover, New York, Chap. VII, Div. L, pp. 251–268.
3.
Prandtl, L., and Betz, A., 1927, “Vier Abhandlungen Zur Hydrodynamik und Aerodynamic,” Go¨ttingen, City, pp. 88–92.
4.
Shen
,
W. Z.
,
Michelsen
,
J. A.
, and
Sørensen
,
J. N.
,
2001
, “
Improved Rhie–Chow Interpolation For Unsteady Flow Computations
,”
AIAA J.
,
39
, pp.
2406
2409
.
5.
Masson
,
C.
,
Smaili
,
A.
, and
Leclerc
,
C.
,
2001
, “
Aerodynamic Analysis of HAWTs Operating in Unsteady Conditions
,”
Wind Energy
,
4
, pp.
1
22
.
6.
Mikkelsen
,
R.
,
Sørensen
,
J. N.
, and
Shen
,
W. Z.
,
2001
, “
Modelling and Analysis of the Flow Field Around a Coned Rotor
,”
Wind Energy
,
4
, pp.
121
135
.
7.
Sørensen
,
J. N.
,
Shen
,
W. Z.
, and
Munduate
,
X.
,
1998
, “
Analysis of Wake-States by a Full-Field Actuator Disc Model
,”
Wind Energy
,
1
, pp.
73
88
.
8.
Sørensen
,
J. N.
, and
Shen
,
W. Z.
,
2002
, “
Numerical Modelling of Wind Turbine Wakes
,”
J. Fluids Eng.
,
124
, pp.
393
399
.
9.
Michelsen, J. A., 1992, “Basis3D-A Platform For Development of Multiblock PDE Solvers,” Technical University of Denmark, AFM 92-05, Lyngby, Denmark.
10.
Sørensen, N. N., 1995, “General Purpose Flow Solver Applied Over Hills,” Risø National Lab., RISO̸-R-827-(EN), Roskilde, Denmark.
11.
Giguere, P., and Selig, M. S., 1999, “Design of a Tapered and Twisted Blade For the NREL Combined Experiment Rotor,” NREL report, SR-500-26173, National Renewable Energy Laboratory, Colorado.
12.
Hand, M. M., Simms, D. A., Fingersh, L. J., Jager, D. W., Cotrell, J. R., Schreck, S., and Larwood, S. M., 2001, “Unsteady Aerodynamics Experiment Phase VI: Wind Tunnel Test Configurations and Available Data Campaigns,” NREL report, TP-500-29955, National Renewable Energy Laboratory, Colorado.
13.
Snel, H., and Van Holten, T., 1995, “Review of Recent Aerodynamic Research on Wind Turbines With Relevance to Rotorcraft,” AGARD report, CP-552, Chap. 7.
14.
Bjo¨rck, A., Ronsten, G., and Montgomerie, B., 1995, “Aerodynamic Section Characteristics of a Rotating and Non-Rotating 2.375 m Wind Turbine Blade,” FFA report, TN-1995-03, The Aeronautical Research Institute of Sweden, Sweden, 1995.
15.
Ronsten, G., Dahlberg, J., Meijer, S., He, D. X., and Chen, M., 1989, “Pressure Measurements on a 5.35 m HAWT in CARDC 12⋅16 m Wind Tunnel Compared to Theoretical Pressure Distributions,” Proceedings of the European Wind Energy Conference and Exhibition (EWEC 89), pp. 729–735, Glasgow, Scotland.
You do not currently have access to this content.