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马蹄形断面临界水深的一种计算公式 预览 被引量:4

Simplified calculation formulas for critical water depth of horseshoe cross section
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摘要 标准马蹄形断面隧洞是农业灌溉等引水工程中经常采用的断面形式,其临界水深是1个超越方程,不容易直接求解。为了得到该断面隧洞临界水深的一套简捷准确的显函数计算公式,该文引入准直线函数作为逼近函数,将马蹄形断面临界水深方程变换为单变量函数方程,通过对马蹄形两种标准型断面临界水深的单变量函数方程在工程常用范围内(即无量纲临界水深在[0.01,1.80]范围内)进行准直线函数逼近,得到了马蹄形标准Ⅰ型、标准Ⅱ型断面临界水深计算的准直线函数表达式,并进行了误差分析及评价。结果表明,准直线函数计算公式在工程常用范围内,计算临界水深的最大相对误差小于0.6%,准直线函数计算公式形式更为简单、精度较高、适用范围广。 The channel with standard horseshoe cross section was commonly used in diversion tunnel engineering.To get the critical depth in the section,a transcendental equation has to be solved.In order to solve the problem that the calculation formulas of critical depth in the section were not expressed by explicit function,direct calculation formulas with simple form and high efficiency were presented in the current work.The quasi-linear function,which was treated as the approximation function,was introduced.The formulas for the critical depth of the two standard horseshoe cross sections were approximated by the quasi-linear function in engineering scope,when the dimensionless critical depth ranged from 0.01 to 1.80.The expressions of the quasi-linear function for the critical depth of the two sections were also obtained,and the error analysis and evaluation were conducted.The results showed that the maximum error was less than 0.6%,indicating that the direct formulas of the quasi-linear function were much simpler,precise and wider than previous ones in applications.
作者 赵延风 王正中 芦琴 Zhao Yanfeng,Wang Zhengzhong,Lu Qin,(1.College of Water Resources and Architectural Engineering,Northwest A&F University,Yangling 712100,China;2.Research Center of Engineering Safety and Disease Prevention,Northwest A&F University,Yangling 712100,China;3.Yangling Vocational & Technical College,Yangling 712100,China)
出处 《农业工程学报》 EI CAS CSCD 北大核心 2011年第2期28-32,共5页 Transactions of the Chinese Society of Agricultural Engineering
基金 国家“863”高技术研究与发展计划项目(2002AA62Z3191) 陕西省水利科技专项计划项目(2006-01)
关键词 灌溉渠道 水位 线性化 近似理论 马蹄形断面 irrigation canals water level linearization approximation theory horseshoe cross section
作者简介 赵延风(1963-),男,陕西西安人,副研究员,从事工程水力学研究。杨凌西北农林科技大学水利与建筑工程学院,712100。Email:zhyf2009@yahoo.cn
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