| 径流式S_1流面叶栅半反命题的变分原理 |
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| 引用本文： | 郭齐胜. 径流式S_1流面叶栅半反命题的变分原理[J]. 兰州理工大学学报, 1990, 0(3) |
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| 作者姓名： | 郭齐胜 |
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| 作者单位： | 甘肃工业大学机械工程二系 |
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| 基金项目： | 甘肃省青年科学基金资助项目 |
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| 摘 要： | 本文将径向动量方程作为主方程,用反推法建立了径流式S_1流面叶栅内不可压缩流动半反命题的变分原理与广义变分原理,将原偏微分方程组的边值问题转化为一等价泛函的驻值问题,从而可以用各种变分直接解法进行普遍的S_1流面叶栅的流场分析。
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| 关 键 词： | 叶栅 三维流动 变分法 S_1流面 半反命题 |
Variational Principles for Semi-inverse Problem of Cascades on a Radial-flow S1 Stream Surface |
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| Guo Qisheng. Variational Principles for Semi-inverse Problem of Cascades on a Radial-flow S1 Stream Surface[J]. Journal of Lanzhou University of Technology, 1990, 0(3) |
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| Authors: | Guo Qisheng |
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| Affiliation: | Second Department of Mechanical Engineering |
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| Abstract: | By choosing the momentum equation in radial direction as the primary equation and employing the inverse-deduction method, the variational and generalized variational principles have been derived for semi-inverse problem of an incompressible flow in cascades on a radial-flow S1 stream surface. The original boundary value problem of partial differential equations is changed into a stationary value problem of an equivalent functional so that it will be possible to analyse the flow field in cascades on a general S1 stream surface by means of direct variational methods. |
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| Keywords: | cascades three dimensional flow variational method S str-eam surface semi-inverse problem |
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