| 无压流圆形断面收缩水深的近似计算公式 |
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| 引用本文： | 赵延风,王正中,孟秦倩.无压流圆形断面收缩水深的近似计算公式[J].三峡大学学报(自然科学版),2009,31(1):6-8. |
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| 作者姓名： | 赵延风 王正中 孟秦倩 |
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| 作者单位： | 1. 西北农林科技大学,水利与建筑工程学院,陕西,杨凌,712100;西北农林科技大学水工程安全与病害防治研究中心,陕西,杨凌,712100
2. 西北农林科技大学,水利与建筑工程学院,陕西,杨凌,712100 |
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| 基金项目： | 国家高技术研究发展计划(863计划)，陕西省重大科技专项计划 |
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| 摘 要： | 无压流圆形断面收缩水深的计算需求解高次隐函数方程，理论上无解析解，传统的图解法或者试算法计算过程复杂，费时费力．通过引入无量纲收缩水深，对无压流圆形断面收缩水深的基本方程进行恒等变形，得到了快速收敛的迭代公式，再与合理的迭代初值配合使用，得到无压流圆形断面收缩水深的近似计算公式．误差分析及实例计算表明，在工程常用范围内，收缩水深的最大相对误差小于0．72％．近似计算公式形式筒捷、精度高、适用范围广．
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| 关 键 词： | 无压流 圆形断面 收缩水深 近似计算 |
An Approximate Calculation Formula of Contracted Water Depth in Free Flow Circular Cross-section |
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| Zhao Yanfeng,Wang Zhengzhong,Meng Qinqian.An Approximate Calculation Formula of Contracted Water Depth in Free Flow Circular Cross-section[J].Journal of China Three Gorges University(Natural Sciences),2009,31(1):6-8. |
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| Authors: | Zhao Yanfeng Wang Zhengzhong Meng Qinqian |
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| Institution: | Zhao Yanfeng,Wang Zhengzhong, Meng Qinqian (1. College of Water Resources ＆ Architectural Engineering, Northwest A＆F University, Yangling 712100, China; 2. Reseach Center of Water Engineering Safety ＆ Disaster Prevention, Northwest A＆F University, Yangling 712100, China) |
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| Abstract: | The contracted water depth in circular cross-section needs to solve the high implicit function equation. There is no analytical solution theoretically. The graphical method or test algorithm is complicated and time and effort consuming. This thesis obtains the iterative formula with the rapid convergence by constant deformation on the basic equation of the contracted water depth in circular cross-section; further it can obtains the approximate calculating formula of contracted water depth in circular cross-section with the reasonable initial iteration. The error analysis and examples manifest that the maximum relative error of contracted water depth is less than 0.72% within the common project. The formula has a direct and simple form, high precision and wide application. |
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| Keywords: | free flow circular cross-section contracted water depth approximate calculation |
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