Limit cases for rotor theories with Betz optimization

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Abstract

A complete analytical formulation of the vortex approach for the rotor with an ideal load distribution under Betz optimal condition needs some additional assumption about a correct choice of the helical pitch for vortex sheets in the rotor wake. An examination of the three evident assumptions (the pitch is independent from velocities induced by the wake; the pitch depends on the induced velocities in the far wake; the pitch depends on the induced velocities in the rotor plane) was considered by a comparison with the main restriction of the actuator disk theory – the Betz-Joukowsky limit. In the present investigation an analytical solution for the limit case of an infinite number of blades was used to re-examine the choice of the wake pitch.
Original languageEnglish
Article number012129
Book seriesJournal of Physics: Conference Series (Online)
Volume524
Issue number1
Number of pages7
ISSN1742-6596
DOIs
Publication statusPublished - 2014
Event5th International Conference on The Science of Making Torque from Wind 2014 - Technical University of Denmark, Copenhagen, Denmark
Duration: 10 Jun 201420 Jun 2014
Conference number: 5
http://indico.conferences.dtu.dk/conferenceDisplay.py?confId=138

Conference

Conference5th International Conference on The Science of Making Torque from Wind 2014
Number5
LocationTechnical University of Denmark
CountryDenmark
CityCopenhagen
Period10/06/201420/06/2014
Internet address

Bibliographical note

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