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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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IOP Publishing
2013-01-01
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Series: | Environmental Research Letters |
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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. |
first_indexed | 2024-03-12T15:59:42Z |
format | Article |
id | doaj.art-7f3798c19ada425389cb71656b587da9 |
institution | Directory Open Access Journal |
issn | 1748-9326 |
language | English |
last_indexed | 2024-03-12T15:59:42Z |
publishDate | 2013-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | Environmental Research Letters |
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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