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Flow Induced by a Vortex Disk

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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 velocity field induced by a bound vortex disk, or vortex actuator disk is derived in this chapter. Direct integration of the Biot–Savart law is used and the derivation steps are detailed. The indefinite form of the integral is expressed first. The definite form follows. Different properties of the flow are provided. The results presented in this section were published in the article titled “Cylindrical vortex wake model: right cylinder” [1]. Results from this chapter are used in Chap. 17.

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Reference

  1. E. Branlard, M. Gaunaa, Cylindrical vortex wake model: right cylinder. Wind Energy 524(1), 1–15 (2014) (Online)

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Correspondence to Emmanuel Branlard .

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Branlard, E. (2017). Flow Induced by a Vortex Disk. 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_37

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  • DOI: https://doi.org/10.1007/978-3-319-55164-7_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55163-0

  • Online ISBN: 978-3-319-55164-7

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