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.
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Tip Loss Correction for Actuator/Navier–Stokes Computations
Wen Zhong Shen,
e-mail: shen@mek.dtu.dk
Wen Zhong Shen
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
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Jens Nørkær Sørensen,
Jens Nørkær Sørensen
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
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Robert Mikkelsen
Robert Mikkelsen
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
Search for other works by this author on:
Wen Zhong Shen
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
e-mail: shen@mek.dtu.dk
Jens Nørkær Sørensen
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
Robert Mikkelsen
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
Contributed by the Solar Energy Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the ASME Solar Energy Division May 24, 2004; final revision August 4, 2004. Associate Editor: P. Chaviaropoulos.
J. Sol. Energy Eng. May 2005, 127(2): 209-213 (5 pages)
Published Online: April 25, 2005
Article history
Received:
May 24, 2004
Revised:
August 4, 2004
Online:
April 25, 2005
Citation
Shen, W. Z., Sørensen , J. N., and Mikkelsen, R. (April 25, 2005). "Tip Loss Correction for Actuator/Navier–Stokes Computations ." ASME. J. Sol. Energy Eng. May 2005; 127(2): 209–213. https://doi.org/10.1115/1.1850488
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