Joukowsky actuator disc momentum theory

van Kuik, Gijs A. M.

doi:https://doi.org/10.5194/wes-2-307-2017

Articles | Volume 2, issue 1

https://doi.org/10.5194/wes-2-307-2017

© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue:

The Science of Making Torque from Wind (TORQUE) 2016

https://doi.org/10.5194/wes-2-307-2017

© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 2, issue 1

Research article

|

15 Jun 2017

Research article |

| 15 Jun 2017

Joukowsky actuator disc momentum theory

Gijs A. M. van Kuik

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Feb 2024	2	18	1	21
Mar 2024	1	30	0	31
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May 2024	12	12	3	27
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Cumulative views and downloads (calculated since 02 Jan 2017)

Month	HTML	PDF	XML	Total
Jan 2017	33	9	0	42
Feb 2017	16	7	0	23
Mar 2017	29	7	2	38
Apr 2017	13	2	1	16
May 2017	17	3	0	20
Jun 2017	64	41	2	107
Jul 2017	25	26	0	51
Aug 2017	16	38	0	54
Sep 2017	18	30	2	50
Oct 2017	2	10	0	12
Nov 2017	10	16	1	27
Dec 2017	4	16	0	20
Jan 2018	6	11	0	17
Feb 2018	18	16	4	38
Mar 2018	8	20	1	29
Apr 2018	11	19	0	30
May 2018	8	14	0	22
Jun 2018	8	13	1	22
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Sep 2018	9	18	0	27
Oct 2018	6	22	1	29
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Jan 2019	5	12	0	17
Feb 2019	6	13	0	19
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Apr 2019	5	11	1	17
May 2019	10	14	0	24
Jun 2019	4	15	0	19
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Aug 2019	8	18	2	28
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Jan 2020	18	6	2	26
Feb 2020	14	11	0	25
Mar 2020	18	8	1	27
Apr 2020	2	4	0	6
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Jun 2020	39	36	1	76
Jul 2020	60	90	38	188
Aug 2020	7	7	2	16
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Sep 2023	10	14	1	25
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Dec 2023	7	14	3	24
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Feb 2024	2	18	1	21
Mar 2024	1	30	0	31
Apr 2024	7	12	2	21
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Jun 2024	31	28	11	70

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Short summary

Actuator disc theory is the basis of most rotor design methods. However, the off-design condition of a very low rotational speed Ω is still a topic for scientific discussions. A small modification in the momentum theory for Joukowsky discs with uniform circulation results in the efficiency going to 0 instead of ∞ when Ω goes to 0. For high values of Ω, the classical momentum theory is reproduced. The new theory is confirmed by a very good match with numerically obtained results.

Joukowsky actuator disc momentum theory

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