A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing

In a vertical axis wind turbine (VAWT), turbine blades are subjected to the curved flow field caused by the revolution of turbine. However, performance prediction of VAWT is usually based on the fluid dynamic coefficients obtained in wind tunnel measurements of the two-dimensional static wing. The d...

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Main Authors: Hiromichi Akimoto, Yutaka Hara, Takafumi Kawamura, Takuju Nakamura, Yeon-Seung Lee
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:Environmental Research Letters
Subjects:
Online Access:https://doi.org/10.1088/1748-9326/8/4/044040
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author Hiromichi Akimoto
Yutaka Hara
Takafumi Kawamura
Takuju Nakamura
Yeon-Seung Lee
author_facet Hiromichi Akimoto
Yutaka Hara
Takafumi Kawamura
Takuju Nakamura
Yeon-Seung Lee
author_sort Hiromichi Akimoto
collection DOAJ
description In a vertical axis wind turbine (VAWT), turbine blades are subjected to the curved flow field caused by the revolution of turbine. However, performance prediction of VAWT is usually based on the fluid dynamic coefficients obtained in wind tunnel measurements of the two-dimensional static wing. The difference of fluid dynamic coefficients in the curved flow and straight flow deteriorates the accuracy of performance prediction. To find the correlation between the two conditions of curved and straight flow, the authors propose a conformal mapping method on complex plane. It provides bidirectional mapping between the two flow fields. For example, the flow around a symmetric wing in the curved flow is mapped to that around a curved (cambered) wing in the straight flow. Although the shape of mapped wing section is different from the original one, its aerodynamic coefficients show a good correlation to those of the original in the rotating condition. With the proposed method, we can reproduce the local flow field around a rotating blade from the flow data around the mapped static wing in the straight flow condition.
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spelling doaj.art-7f3798c19ada425389cb71656b587da92023-08-09T14:40:49ZengIOP PublishingEnvironmental Research Letters1748-93262013-01-018404404010.1088/1748-9326/8/4/044040A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wingHiromichi Akimoto0Yutaka Hara1Takafumi Kawamura2Takuju Nakamura3Yeon-Seung Lee4Division of Ocean Systems Engineering, Korea Advanced Institute of Science and Technology , 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, Republic of KoreaDepartment of Mechanical and Aerospace Engineering, Tottori University , 4-101 Koyama, Minami, Tottori 680-8552, JapanComputational Fluid Dynamics Consulting Inc. , 2-1-1 Namiki, Tokorozawa, Saitama 359-0042, JapanMODEC, Inc. , 3-10, Nihonbashi 2-chome, Chuo-ku, Tokyo 103-0027, JapanDivision of Ocean Systems Engineering, Korea Advanced Institute of Science and Technology , 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, Republic of KoreaIn a vertical axis wind turbine (VAWT), turbine blades are subjected to the curved flow field caused by the revolution of turbine. However, performance prediction of VAWT is usually based on the fluid dynamic coefficients obtained in wind tunnel measurements of the two-dimensional static wing. The difference of fluid dynamic coefficients in the curved flow and straight flow deteriorates the accuracy of performance prediction. To find the correlation between the two conditions of curved and straight flow, the authors propose a conformal mapping method on complex plane. It provides bidirectional mapping between the two flow fields. For example, the flow around a symmetric wing in the curved flow is mapped to that around a curved (cambered) wing in the straight flow. Although the shape of mapped wing section is different from the original one, its aerodynamic coefficients show a good correlation to those of the original in the rotating condition. With the proposed method, we can reproduce the local flow field around a rotating blade from the flow data around the mapped static wing in the straight flow condition.https://doi.org/10.1088/1748-9326/8/4/044040conformal mappingvertical axis wind turbinemarine current turbineblade performancevirtual camber
spellingShingle Hiromichi Akimoto
Yutaka Hara
Takafumi Kawamura
Takuju Nakamura
Yeon-Seung Lee
A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
Environmental Research Letters
conformal mapping
vertical axis wind turbine
marine current turbine
blade performance
virtual camber
title A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
title_full A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
title_fullStr A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
title_full_unstemmed A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
title_short A conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
title_sort conformal mapping technique to correlate the rotating flow around a wing section of vertical axis wind turbine and an equivalent linear flow around a static wing
topic conformal mapping
vertical axis wind turbine
marine current turbine
blade performance
virtual camber
url https://doi.org/10.1088/1748-9326/8/4/044040
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