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S_2流面水动全正命题和A类杂交命题的变分原理
引用本文:郭齐胜.S_2流面水动全正命题和A类杂交命题的变分原理[J].甘肃科学学报,1991(1).
作者姓名:郭齐胜
作者单位:甘肃工业大学机械工程二系 兰州
摘    要:本文首先用反推法建立了S_2流面不可压缩流动全正命题的变分原理和广义变分原理,然后进一步用反演变换建立了A类杂交命题的变分原理族,旨在为用有限元法和各种变分直接解法进行水轮机、水泵和风机叶轮的设计、改型及流场分析提供新的理论基础。

关 键 词:变分原理  S_2流面  三维流动  水动命题

Variational Principles for Hydrodynamic Full-direct and Type-a Hybrid Problems on a S_2 Stream Surface
Guo Qisheng.Variational Principles for Hydrodynamic Full-direct and Type-a Hybrid Problems on a S_2 Stream Surface[J].Journal of Gansu Sciences,1991(1).
Authors:Guo Qisheng
Abstract:The variational principles are derived for the full-direct problem of an incompressible flow along a S2 stream surface by means of the inverse-deduction method, and based on them the VPs are also developed for the Type-A hybrid problem by applying the inversive transformation. The paper aims at provision of a new theoretical basis for the design, modification and flow analysis of runners of hydraulic turbines, pumpl and ventilators by the FEM and all kinds of direct variational methods.
Keywords:Variational principle  S2 stream surface  3-D flow  hydrodynamic problem
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