摘要
本文首先以r向动量方程为主方程,利用反推法建立了S_2流面不可压缩流动全正命题的变分原理与广义变分原理,然后将坐标系z-r旋转α角得到斜置坐标系x-y,引入映象平面并利用反演变换建立了A和B型杂交命题的变分原理族,旨在为用有限元法和其它变分直接解法进行水力机械叶轮的设计、改型及三元流场分析提供新的理论基础。
By choosing r directional momentum equation as the primary equation and by employing the inverse-deduction method, the VPs are derived for full-direct problem of an incompressible flow along S, streamsheet. And then a coordinate's system x-y is obtained from rotation of r-z. In the image plane introduced the families of VPs are developed for types A and B hybrid problems by means of the inversive transformation. This paper is aimed to provide some new theoretical bases for the design, modification and 3-D flow analysis of runners of hydraulic machinery by FEM and other direct variational methods.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1991年第4期54-59,共6页
Chinese Journal of Hydrodynamics
关键词
S2流面
水动力学
命题
变分原理
S2 strean surface, hydrodynamic problems, variational principles.
