Study of Tip-loss Using an Inverse 3D Navier-Stokes Method

Robert Mikkelsen; Jens Nørkær Sørensen; Wen Zhong Shen; Jess Michelsen

Study of Tip-loss Using an Inverse 3D Navier-Stokes Method

Robert Mikkelsen, Jens Nørkær Sørensen, Wen Zhong Shen, Jess Michelsen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

The tip-correction for air-screws described by Prandtl (1919) and implemented into the Blade Element Momentum (BEM) theory by Glauert (1930), is founded on certain assumptions which the present analysis seeks to overcome. In the paper we propose a method to derive the tip-correction by solving the 3D Navier-Stokes equations combined with the actuator line technique where blade loading is applied using an inverse method. The numerical simulations shows that the method captures the tip-correction when comparing with the theories of Prandtl and Goldstein, however, the accuracy of the obtained results reveal that further refinements still is needed. Keywords: Tip-loss; Actuator line; 3D Navier-Stokes methods.

Original language	English
Title of host publication	Proc. European Wind Energy Conference & Exhibition
Place of Publication	CD-ROM, www.ewea.org
Publisher	European Wind Energy Association (EWEA)
Publication date	2003
Publication status	Published - 2003
Event	2003 European Wind Energy Conference and Exhibition - Madrid, Spain Duration: 16 Jun 2003 → 19 Jun 2003

Workshop

Workshop	2003 European Wind Energy Conference and Exhibition
Country/Territory	Spain
City	Madrid
Period	16/06/2003 → 19/06/2003

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title = "Study of Tip-loss Using an Inverse 3D Navier-Stokes Method",

abstract = "The tip-correction for air-screws described by Prandtl (1919) and implemented into the Blade Element Momentum (BEM) theory by Glauert (1930), is founded on certain assumptions which the present analysis seeks to overcome. In the paper we propose a method to derive the tip-correction by solving the 3D Navier-Stokes equations combined with the actuator line technique where blade loading is applied using an inverse method. The numerical simulations shows that the method captures the tip-correction when comparing with the theories of Prandtl and Goldstein, however, the accuracy of the obtained results reveal that further refinements still is needed. Keywords: Tip-loss; Actuator line; 3D Navier-Stokes methods.",

author = "Robert Mikkelsen and S{\o}rensen, {Jens N{\o}rk{\ae}r} and Shen, {Wen Zhong} and Jess Michelsen",

year = "2003",

language = "English",

booktitle = "Proc. European Wind Energy Conference & Exhibition",

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note = "2003 European Wind Energy Conference and Exhibition, EWEC 2003 ; Conference date: 16-06-2003 Through 19-06-2003",

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TY - GEN

T1 - Study of Tip-loss Using an Inverse 3D Navier-Stokes Method

AU - Mikkelsen, Robert

AU - Sørensen, Jens Nørkær

AU - Shen, Wen Zhong

AU - Michelsen, Jess

PY - 2003

Y1 - 2003

N2 - The tip-correction for air-screws described by Prandtl (1919) and implemented into the Blade Element Momentum (BEM) theory by Glauert (1930), is founded on certain assumptions which the present analysis seeks to overcome. In the paper we propose a method to derive the tip-correction by solving the 3D Navier-Stokes equations combined with the actuator line technique where blade loading is applied using an inverse method. The numerical simulations shows that the method captures the tip-correction when comparing with the theories of Prandtl and Goldstein, however, the accuracy of the obtained results reveal that further refinements still is needed. Keywords: Tip-loss; Actuator line; 3D Navier-Stokes methods.

AB - The tip-correction for air-screws described by Prandtl (1919) and implemented into the Blade Element Momentum (BEM) theory by Glauert (1930), is founded on certain assumptions which the present analysis seeks to overcome. In the paper we propose a method to derive the tip-correction by solving the 3D Navier-Stokes equations combined with the actuator line technique where blade loading is applied using an inverse method. The numerical simulations shows that the method captures the tip-correction when comparing with the theories of Prandtl and Goldstein, however, the accuracy of the obtained results reveal that further refinements still is needed. Keywords: Tip-loss; Actuator line; 3D Navier-Stokes methods.

M3 - Article in proceedings

BT - Proc. European Wind Energy Conference & Exhibition

PB - European Wind Energy Association (EWEA)

CY - CD-ROM, www.ewea.org

T2 - 2003 European Wind Energy Conference and Exhibition

Y2 - 16 June 2003 through 19 June 2003

ER -

Study of Tip-loss Using an Inverse 3D Navier-Stokes Method

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