| 二级树状管路的优化分析 |
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| 引用本文： | 张东辉,张伟琳,赵忠超,唐春丽.二级树状管路的优化分析[J].工程热物理学报,2010(12). |
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| 作者姓名： | 张东辉 张伟琳 赵忠超 唐春丽 |
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| 作者单位： | 江苏科技大学船舶与海洋工程学院; |
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| 基金项目： | 国家自然科学基金之资助项目(No.50609005); 江苏科技大学启动基金项目(No.35011001) |
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| 摘 要： | 本文讨论了Y型二级管路分别在占地面积、体积以及占地面积、表面积约束下的最优管径比、最优管长比、最优分岔角度。优化方法采用拉格朗日乘子法和虚功原理方法。通过分析发现;最优树状管路的结构参数随约束条件和流动状态的变化而变化.这意味着对层流流动和湍流流动的情况,树状结构最优参数会表现出差异。本文的忧化结果为不同情况下的树状结构设计提供了基本参考。
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| 关 键 词： | 树状结构 拉格朗日乘子法 虚功原理 |
THE OPTIMIZATION ANALYSIS OF THE TWO-LEVEL TREE NETWORK |
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| ZHANG Dong-Hui ZHANG Wei-Lin ZHAO Zhong-Chao TANG Chun-Li.THE OPTIMIZATION ANALYSIS OF THE TWO-LEVEL TREE NETWORK[J].Journal of Engineering Thermophysics,2010(12). |
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| Authors: | ZHANG Dong-Hui ZHANG Wei-Lin ZHAO Zhong-Chao TANG Chun-Li |
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| Institution: | ZHANG Dong-Hui ZHANG Wei-Lin ZHAO Zhong-Chao TANG Chun-Li (Jiangsu University of Science & Technology,School of Naval Architecture & Ocean Engineering,Zhenjiang 212003,China) |
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| Abstract: | In this paper,the flow resistance of the two-level tree network is discussed in detail.The Lagrange-multiplier method and virtual work principle are applied.The optimal angles,length ratio and diameter ratio are calculated systematically under different constraints(volume,surface).It is found that the optimal structure parameters change with the flowing state and the given constraint. The optimization results world provide fundamental reference for the designers of fluid tree-shaped networks. |
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| Keywords: | tree network the Lagrange-multiplier method virtual work principle |
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