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轴对称体大角度斜出水的非线性摄动解

叶取源 何友声

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.
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.

轴对称体大角度斜出水的非线性摄动解

基金项目: 国家自然科学基金

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.
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    [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).
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    [9] Hess,J.L.and H.M.O.Smith,Calculation of potential flow about arbitrary bodies.Prog,in Aeron.Sci.,8(1967).
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出版历程
  • 收稿日期:  1990-02-26
  • 刊出日期:  1991-04-15

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