An impulse-based derivation of the Kutta–Joukowsky equation for wind turbine thrust

Limacher, Eric J.; Wood, David H.

doi:https://doi.org/10.5194/wes-6-191-2021

Articles | Volume 6, issue 1

https://doi.org/10.5194/wes-6-191-2021

© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/wes-6-191-2021

© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 6, issue 1

Research article

|

02 Feb 2021

Research article |

| 02 Feb 2021

An impulse-based derivation of the Kutta–Joukowsky equation for wind turbine thrust

Eric J. Limacher and David H. Wood

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Final revised paper (published on 02 Feb 2021)
Preprint (discussion started on 19 Dec 2019)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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RC1: 'Referees comment', Anonymous Referee #1, 09 Feb 2020
RC2: 'Review of the manuscript “Derivation of an Impulse Equation for Wind Turbine Thrust” by Eric J. Limacher and David H. Wood', Anonymous Referee #2, 08 Apr 2020
AC1: 'Authors' response to reviewer comments', David Wood, 06 May 2020

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by David Wood on behalf of the Authors (27 May 2020) Author's response Manuscript

ED: Referee Nomination & Report Request started (14 Jun 2020) by Jens Nørkær Sørensen

RR by Anonymous Referee #1 (30 Jun 2020)

RR by Anonymous Referee #3 (27 Jul 2020)

ED: Reconsider after major revisions (04 Aug 2020) by Jens Nørkær Sørensen

AR by David Wood on behalf of the Authors (14 Oct 2020) Author's response Manuscript

ED: Referee Nomination & Report Request started (23 Oct 2020) by Jens Nørkær Sørensen

RR by Anonymous Referee #3 (03 Nov 2020)

RR by Anonymous Referee #1 (28 Nov 2020)

ED: Publish subject to minor revisions (review by editor) (28 Nov 2020) by Jens Nørkær Sørensen

AR by David Wood on behalf of the Authors (01 Dec 2020) Author's response Manuscript

ED: Publish as is (07 Dec 2020) by Jens Nørkær Sørensen

ED: Publish as is (08 Dec 2020) by Joachim Peinke (Chief editor)

AR by David Wood on behalf of the Authors (22 Dec 2020) Manuscript

Short summary

This paper describes a new analysis of wind turbine thrust based on removing pressure from the equations for the wind flow through a wind turbine rotor. We show that the equation is free from the effects of flow expansion that must accompany the slowing down of the wind through the blades as they extract the kinetic energy. The conditions under which the assumptions are used in blade-element analysis, which is fundamental for wind turbine aerodynamics, are made clear for the first time.