| 半立方抛物线形渠道正常水深算法 |
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| 引用本文： | 赵延风,王正中,方兴,刘计良,洪安宇.半立方抛物线形渠道正常水深算法[J].排灌机械,2011(3):241-245. |
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| 作者姓名： | 赵延风 王正中 方兴 刘计良 洪安宇 |
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| 作者单位： | 西北农林科技大学水工程安全与病害防治研究中心;奥本大学土木工程系; |
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| 基金项目： | 国家863计划项目(2002AA62Z3191); 陕西省水利科技专项计划项目(2006-01) |
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| 摘 要： | 为了给半立方抛物线形渠道断面正常水深的计算提供一种简捷、通用、精度较高的显函数计算公式,根据迭代理论并采用优化计算确定初值函数的方法进行分析研究.通过引入断面特征水深的概念,对半立方抛物线形渠道正常水深的基本方程进行变换处理,推导出收敛速度较快的迭代公式,并证明了公式的收敛性;在断面特征水深范围即无量纲正常水深H∈0.025,40]范围内,对迭代公式进行优化计算,取得合理的迭代初值函数;合理初值与迭代公式的配合使用,得到半立方抛物线形渠道断面正常水深的显函数直接计算公式,并对公式进行了误差分析以及用工程实例进行了验证.结果表明：在工程常用的断面特征水深范围内,正常水深的最大相对误差小于0.3%,计算公式具有形式简单、精度高、适用范围广的优点,该研究为排灌渠道的断面设计以及渠道流量控制时求解均匀流水深提供了简捷方法.
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| 关 键 词： | 灌溉渠道 正常水深 迭代理论 优化计算 半立方抛物线 断面特征水深 |
Calculation method for normal depth of semi-cubic parabolic channels |
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| Zhao Yanfeng,Wang Zhengzhong,Fang Xing,Liu Jiliang,Hong Anyu.Calculation method for normal depth of semi-cubic parabolic channels[J].Drainage and Irrigation Machinery,2011(3):241-245. |
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| Authors: | Zhao Yanfeng Wang Zhengzhong Fang Xing Liu Jiliang Hong Anyu |
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| Institution: | Zhao Yanfeng1,Wang Zhengzhong1,Fang Xing2,Liu Jiliang1,Hong Anyu1(1.Research Center of Water Engineering Safety and Disaster Prevention,Northwest A & F University,Yangling,Shaanxi 712100,China,2.Department of Civil Engineering,Auburn University,Auburn,Alabama 36849,U.S.A.) |
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| Abstract: | In order to obtain the simple and general explicit formula with high accuracy for computing the normal depth of semi-cubic parabolic channels,formula for direct computation of the normal depth was developed by obtaining initial function using iteration theory and optimization.Mathematical transformation on the basic equation for determining the normal depth of semi-cubic parabolic channel was made by introducing the concept of characteristic depth of cross-section,and the iterative formula with high converg... |
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| Keywords: | irrigation channels normal depth iteration theory optimization semi-cubic parabola characteristic depth of cross-section |
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