A lifting line theory for a three-dimensional hydrofoil

被引：4

作者：

Liang H. ^{[1
]}

Zong Z. ^{[1
]}

机构：

[1] School of Naval Architecture Engineering, Dalian University of Technology

来源：

Journal of Marine Science and Application | 2011年 / 10卷 / 2期

基金：

中国国家自然科学基金;

关键词：

3-D hydrofoil; free surface; Green function; lifting line theory; singularity distribution method;

D O I：

10.1007/s11804-011-1038-5

中图分类号：

学科分类号：

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. © 2011 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.

引用

页码：199 / 205

页数：6

共 24 条

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