Skip to main content

Part of the book series: Research Topics in Wind Energy ((RTWE,volume 4))

Abstract

In this chapter, the tip correction is discussed in detail, and it is shown that the ‘traditional’ Prandtl/Glauert tip correction contains an inherent inconsistency in the vicinity of the tip when using tabulated airfoil data. In fact, the solution becomes singular if the lift coefficient is not directly proportional to the tip correction.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Betz, A.: Schraubenpropeller mit Geringstem Energieverlust. Dissertation, Göttingen Nachrichten, Göttingen (1919)

    Google Scholar 

  • Burton, T., Sharpe, D., Jenkins, N., Bossanyi, E.: Wind Energy Handbook. Wiley, New York (2002)

    Google Scholar 

  • Chaviaropoulos, P.K., Hansen, M.O.L.: Investigating three-dimensional and rotational effects on wind turbine blades by means of a quasi-3D Navier Stokes solver. J. Fluids Eng. 122, 330–336 (2000)

    Article  Google Scholar 

  • Currie, I.G.: Fundamental mechanics of fluids. Marcel Dekker, Inc., New York (2012)

    MATH  Google Scholar 

  • De Vries, O.: Fluid dynamic aspects of wind energy conversion. AGARDograph No. 243. AGARD (1979). ISBN 92-835-1326-6

    Google Scholar 

  • Glauert, H.: Airplane propellers. Division L. In: Durand, W.F. (ed.) Aerodynamic Theory, vol. IV, pp. 169–360. Springer, Berlin (1935)

    Google Scholar 

  • Goldstein, S.: On the vortex theory of screw propellers. Technical report, St. John’s College, Cambridge (1929)

    Google Scholar 

  • Hardin, J.C.: The velocity-field induced by a local helical vortex filament. Phys. Fluids 25(11), 1949–1952 (1982)

    Article  MATH  Google Scholar 

  • Katz, J., Plotkin, A.: Low-Speed Aerodynamics. McGraw-Hill, New York (1991)

    Google Scholar 

  • Mikkelsen, R.F.: Actuator disc methods applied to wind turbines. Ph.D. dissertation, Technical University of Denmark, MEK-FM-PHD 2003-02 (2003)

    Google Scholar 

  • Montgomerie, B.: De-camber: explanation of an effect of lift reduction near the tip caused by the local flow around airplane wings or wind turbine tips. In: Proceedings of Plenary meeting of the group for Dynamic Stall and 3D Effects a European Union, Joule 2 project. Cranfield Institute of Technology, 3–4 Apr 1995

    Google Scholar 

  • Mukherjee, R., Gopålarathnam, A.: An iterative decambering approach for post-stall prediction of wing characteristics using known section data. AIAA 2003-1097, 41st AIAA Aerospace Sciences Meeting, Reno, 6–9 Jan 2003

    Google Scholar 

  • Okulov, V.L.: On the stability of multiple helical vortices. J. Fluid Mech. 521, 319-342 (2004)

    Google Scholar 

  • Okulov, V.L., Sørensen, J.N.: Refined Betz limit for rotors with a finite number of blades. Wind Energy 11(4), 415–426 (2008)

    Article  Google Scholar 

  • Okulov, V.L., Sørensen, J.N.: Maximum efficiency of wind turbine rotors using Joukowsky and Betz approaches. J. Fluid Mech. 649, 497–508 (2010)

    Article  MATH  Google Scholar 

  • Ramos-García, N., Sørensen, J.N., Shen W.Z.: A strong viscous-inviscid interaction model for rotating airfoils. Published online in wind energy (2013a)

    Google Scholar 

  • Ramos-García, N., Sørensen, J.N., Shen W.Z.: Three-dimensional viscous-inviscid coupling method for wind turbine computations. Submitted to wind energy (2013b)

    Google Scholar 

  • Schepers, J.G., Snel, H.: Model experiments in controlled conditions. ECN-E-07-042, The Netherlands (2007)

    Google Scholar 

  • Shen, W.Z., Mikkelsen, R., Sørensen, J.N., Bak, C.: Tip loss corrections for wind turbine computations. Wind Energy 8(4), 457–475 (2005a)

    Article  Google Scholar 

  • Shen, W.Z., Sørensen, J.N., Mikkelsen, R.: Tip loss correction for actuator/Navier–Stokes computations. J. Sol.Energy Eng. 127, 209–213 (2005b)

    Article  Google Scholar 

  • Shen, W.Z., Zhu, W.J., Sørensen, J.N.: Actuator line/Navier–Stokes computations for the MEXICO rotor: comparison with detailed measurements. Wind Energy 15, 811–825 (2012)

    Article  Google Scholar 

  • Snel, H., van Holten, T.: Review of recent aerodynamic research on wind turbines with relevance to rotorcraft. AGARD Report CP-552, Chap. 7, pp. 1–11 (1995)

    Google Scholar 

  • Sørensen, J.N., Myken, A.: Unsteady actuator disc model for horizontal axis wind turbines. J. Wind Eng. Ind. Aerodyn. 139, 139–149 (1992)

    Article  Google Scholar 

  • Sørensen, J.N., Kock, C.W.: A model for unsteady rotor aerodynamics. J. Wind Eng. Ind. Aerodyn. 58, 259–275 (1995)

    Google Scholar 

  • Sørensen, J.N., Dag, K.O., Ramos-García, N.: A new tip correction based on the decambering approach. J. Phys. Conf. Ser. 524(1), 012097 (2014). (Online)

    Article  Google Scholar 

  • Sørensen, J.N., Shen, W.Z.: Numerical modelling of wind turbine wakes. J. Fluids Eng. 124(2), 393–399 (2002)

    Article  MATH  Google Scholar 

  • Wilson, R.E., Lissaman, P.B.S.: Applied Aerodynamics of Wind Power Machines. Oregon State University (1974)

    Google Scholar 

  • Wilson, R.E., Lissaman, P.B.S., Walker, S.N.: Aerodynamic performance of wind turbines. Energy research and development administration. ERDA NSF 04014-76 1 (1976)

    Google Scholar 

  • Yang, H., Shen, W,Z., Xu, H., Liu, C.: Prediction of the wind turbine performance by using BEM with airfoil data extracted from CFD. Renew. Energy 70, 107–115 (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jens Nørkær Sørensen .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Sørensen, J.N. (2016). The Tip Correction. In: General Momentum Theory for Horizontal Axis Wind Turbines. Research Topics in Wind Energy, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-22114-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-22114-4_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22113-7

  • Online ISBN: 978-3-319-22114-4

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics