## 留言板

 引用本文: 叶取源, 何友声. 轴对称体大角度斜出水的非线性摄动解[J]. 应用数学和力学, 1991, 12(4): 303-313.
Ye Qu-yuan, He You-sheng. Perturbation Solution to the Nonlinear Problem of Oblique Water Exit of an Axisymmetric Body with a Large Exit-Angle[J]. Applied Mathematics and Mechanics, 1991, 12(4): 303-313.
 Citation: Ye Qu-yuan, He You-sheng. Perturbation Solution to the Nonlinear Problem of Oblique Water Exit of an Axisymmetric Body with a Large Exit-Angle[J]. Applied Mathematics and Mechanics, 1991, 12(4): 303-313.

## Perturbation Solution to the Nonlinear Problem of Oblique Water Exit of an Axisymmetric Body with a Large Exit-Angle

• 摘要: 本文处理的是轴对称体大角度斜出水三元非线性问题,以出水角的余角α为小参数进行摄动展开,化为二维非线性问题求解.给出了零阶、一阶和二阶解的积分形式.其中零阶解对应于轴对称体垂直出水的情况,仍是非线性的.数值结果给出了不同Froude数、物体不同长细比情况下各阶自由面形状及各阶力的变化过程.
•  [1] Moran,J.P.,Image solution of vertical motion of a point source towards a free surface,J.Fluid Mech.,18(1964). [2] Yim,B.,Linear theory on water entry and exit problem of a ventilating thin wedge,J.Ship Research,18(1974). [3] Wang,D.P.,Water entry and exit of a fully ventilated foil J.Ship Research,21(1977). [4] Moran,J.P.,On the small perturbation theory of water exit and entry,Devel.in Mech..2,1(1963). [5] 叶取源,何友声,轴对称体垂直出水的非线性数值解,应用力学学报,3,3(1986). [6] Dommermuth,D.G.and D.K.P.Yue,Numerical simulations of nonlinear axisymmetric flows with a free surface,J.Fluid Mech.,178(1987). [7] Longuet-Higgins,M.S.and E.D.Cokelet,The deformation of steep surface waves on water,(Ⅰ)A numerical method of computation.Proc.Roy.Soc.London,Series A,350(1976). [8] Cody,W.J.,Chebyshev approximations for the complete elliptic integrals K and E.Math.Comp.J.,19,89(1965). [9] Hess,J.L.and H.M.O.Smith,Calculation of potential flow about arbitrary bodies.Prog,in Aeron.Sci.,8(1967).
##### 计量
• 文章访问数:  2134
• HTML全文浏览量:  149
• PDF下载量:  599
• 被引次数: 0
##### 出版历程
• 收稿日期:  1990-02-26
• 刊出日期:  1991-04-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈