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 Hui Liang and Zhi Zong.A Lifting Line Theory for a Three-dimensional Hydrofoil[J].Journal of Marine Science and Application,2011,(2):199-205.
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A Lifting Line Theory for a Three-dimensional Hydrofoil


A Lifting Line Theory for a Three-dimensional Hydrofoil
Hui Liang and Zhi Zong
School of Naval Architecture Engineering, Dalian University of Technology, Dalian 116024, China
lifting line theory singularity distribution method 3-D hydrofoil free surface Green function
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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Last Update: 2011-05-04