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。
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.
基金
甘肃省自然科学基金(青年基金)资助课题
关键词
S2流面
水动命题
变分原理
Variational principle, S2 stream surface, 3-D flow, hydrodynamic problem
