A simple vortex model applied to an idealized rotor in sheared inflow

Abstract A simple analytical vortex model is presented and used to study an idealized wind turbine rotor in uniform and sheared inflow, respectively. Our model predicts that 1D momentum theory should be applied locally when modelling a non-uniformly loaded rotor in a sheared inflow. Hence the maximum local power coefficient (expressed with respect to the local, upstream velocity) of an ideal rotor is not affected by the presence of shear. We study the interaction between the wake vorticity generated by the rotor and the wind shear vorticity and find that their mutual interaction results in no net generation of axial vorticity: the wake effects and the shear effects exactly cancel each other out. This means that there are no resulting cross-shear-induced velocities and therefore also no cross-shear deflection of the wake in this model.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
A simple vortex model applied to an idealized rotor in sheared inflow ; volume:8 ; number:4 ; year:2023 ; pages:503-513 ; extent:11
Wind energy science ; 8, Heft 4 (2023), 503-513 (gesamt 11)

Urheber
Gaunaa, Mac
Troldborg, Niels
Branlard, Emmanuel

DOI
10.5194/wes-8-503-2023
URN
urn:nbn:de:101:1-2023041305192020855382
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:44 MESZ

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