| S_2流面正命题适用于纯物质流体的变分原理族及其对偶变分原理族 |
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| 引用本文： | 徐弘一,刘高联.S_2流面正命题适用于纯物质流体的变分原理族及其对偶变分原理族[J].空气动力学学报,1991(2). |
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| 作者姓名： | 徐弘一 刘高联 |
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| 作者单位： | 上海机械学院
(徐弘一)，上海机械学院(刘高联) |
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| 摘 要： | 本文建立了适用于纯物质流体轴流式S_2流面正命题的变分原理族及其对偶变分原理族。证明了其中的两条狭义变分原理在均转子焓均熵条件下在亚声速区内分别为极大值原理和极小值原理。在变分原理的构造中,采用吉布斯关系作为约束,从而使这些变分原理适用于纯物质流体。
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| 关 键 词： | 变分原理 对偶变分原理 正命题 纯物质 |
FAMILY OF VARIATIONAL PRINCIPLES AND ITS DUAL FAMILY OF VARIATIONAL PRINCIPLES FOR DIRECT PROBLEM OF PURE SUBSTANCE FLOW ALONG S_2-STREAMSHEET |
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| Xu Hongyi Liu Gaolian.FAMILY OF VARIATIONAL PRINCIPLES AND ITS DUAL FAMILY OF VARIATIONAL PRINCIPLES FOR DIRECT PROBLEM OF PURE SUBSTANCE FLOW ALONG S_2-STREAMSHEET[J].Acta Aerodynamica Sinica,1991(2). |
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| Authors: | Xu Hongyi Liu Gaolian |
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| Institution: | Shanghai Institute of Mechanical Engineering |
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| Abstract: | A family of variational principles( VPs) and its dual family of VPs for direct problem on S2-streamsheet are established in this paper. A minimum principle and a maximum principles have been proved respectively for subsonic homorothalpic and homoentropic flow. In establishing these Vps, Gibbs relation is employed as a restraint equation so that these VPs are suitable for pure substance flow. |
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| Keywords: | variational principles dual variational principles direct problem pure substance |
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