| 三维水翼升力线理论(英文) |
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| 引用本文： | 梁辉,宗智.三维水翼升力线理论(英文)[J].船舶与海洋工程学报,2011,10(2):199-205. |
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| 作者姓名： | 梁辉 宗智 |
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| 作者单位： | School of Naval Architecture Engineering, Dalian University of Technology |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No.50921001;973 Program under Grant No. 2010CB83270 |
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| 摘 要： | Prandtl’s lifting line theory was generalized to the lifting problem of a three-dimensional hydrofoil in the presence of a free surface. Similar to the classical lifting theory, the singularity distribution method was utilized to solve two-dimensional lifting problems for the hydrofoil beneath the free surface at the air-water interface, and a lifting line theory was developed to correct three-dimensional effects of the hydrofoil with a large aspect ratio. Differing from the classical lifting theory, the main focus was on finding the three-dimensional Green function of the free surface induced by the steady motion of a system of horseshoe vortices under the free surface. Finally, numerical examples were given to show the relationship between the lift coefficient and submergence Froude numbers for 2-D and 3-D hydrofoils. If the submergence Froude number is small free surface effect will be significant registered as the increase of lift coefficient. The validity of these approaches was examined in comparison with the results calculated by other methods.
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| 关 键 词： | lifting line theory singularity distribution method 3-D hydrofoil free surface Green function |
| 收稿时间： | 15 March 2010 |
A lifting line theory for a three-dimensional hydrofoil |
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| Hui Liang,Zhi Zong.A lifting line theory for a three-dimensional hydrofoil[J].Journal of Marine Science and Application,2011,10(2):199-205. |
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| Authors: | Hui Liang Zhi Zong |
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| Institution: | (1) Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Maslak-Sariyer, 34469 Istanbul, Turkey |
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| Abstract: | Prandtl’s lifting line theory was generalized to the lifting problem of a three-dimensional hydrofoil in the presence of a
free surface. Similar to the classical lifting theory, the singularity distribution method was utilized to solve two-dimensional
lifting problems for the hydrofoil beneath the free surface at the air-water interface, and a lifting line theory was developed
to correct three-dimensional effects of the hydrofoil with a large aspect ratio. Differing from the classical lifting theory,
the main focus was on finding the three-dimensional Green function of the free surface induced by the steady motion of a system
of horseshoe vortices under the free surface. Finally, numerical examples were given to show the relationship between the
lift coefficient and submergence Froude numbers for 2-D and 3-D hydrofoils. If the submergence Froude number is small free
surface effect will be significant registered as the increase of lift coefficient. The validity of these approaches was examined
in comparison with the results calculated by other methods. |
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