| S_2流面水动力学全正命题和杂交命题的变分原理与广义变分原理 |
| |
| 引用本文： | 郭齐胜. S_2流面水动力学全正命题和杂交命题的变分原理与广义变分原理[J]. 水动力学研究与进展(A辑), 1991, 0(4) |
| |
| 作者姓名： | 郭齐胜 |
| |
| 作者单位： | 甘肃工业大学 |
| |
| 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。
|
| 关 键 词： | S_2流面 水动命题 变分原理 |
Variational Principles (VPs) and Generalized VPs for Hydrodynamic Full-direct and Hybrid Problems on an S_2 Stream Surface |
| |
| Guo Qi-sheng. Variational Principles (VPs) and Generalized VPs for Hydrodynamic Full-direct and Hybrid Problems on an S_2 Stream Surface[J]. Chinese Journal of Hydrodynamics, 1991, 0(4) |
| |
| Authors: | Guo Qi-sheng |
| |
| Affiliation: | Gansu University of Technology |
| |
| Abstract: | 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. |
| |
| Keywords: | S2 strean surface hydrodynamic problems variational principles. |
| 本文献已被 CNKI 等数据库收录！ |
