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Vortex Systems and Models of a Rotor - Bound, Root and Wake Vorticity

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Wind Turbine Aerodynamics and Vorticity-Based Methods

Part of the book series: Research Topics in Wind Energy ((RTWE,volume 7))

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Abstract

The chapter briefly introduces the typical vortex systems involved in the analysis of a rotor. The simplification of the vortex systems leads to the different vortex models witch are studied in this book. The developments of this chapter rely on the general context of lifting bodies from Sect. 3.1.3. The chapter starts with an identification of the different vorticity components. The vorticity components described are: the bound, tip and root vorticity but also the vorticity due to the turbulence and wind shear. Typical vortex models of rotors are then introduced based on the simplification of the different vorticity components. The vortex models introduced are described in more details and used in following chapters of the book.

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Notes

  1. 1.

    Courtesy of E. Machefaux.

  2. 2.

    The vortex ring model is described in Sect. 5.2.4.

  3. 3.

    The definition of the shed and trailed vorticity is found in 3.1.3.2.

  4. 4.

    The momentum theory of an actuator disk is presented in Chap. 9.

  5. 5.

    This effectively implies that the natural tip-loss factor and the planar tip-loss factors are equal. These factors are discussed in Sect. 13.2.2 and an article by the author [2].

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Correspondence to Emmanuel Branlard .

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Branlard, E. (2017). Vortex Systems and Models of a Rotor - Bound, Root and Wake Vorticity. In: Wind Turbine Aerodynamics and Vorticity-Based Methods. Research Topics in Wind Energy, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-55164-7_5

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  • DOI: https://doi.org/10.1007/978-3-319-55164-7_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55163-0

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