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当前位置: 首页 > 文章 > 梯形明渠水力学特征水深的解析计算式研究 灌溉排水学报 2016,35 (3) 73-77+85
Position: Home > Articles > Analytic Formula of Characteristic Depths for Trapezoidal Open Channel Journal of Irrigation and Drainage 2016,35 (3) 73-77+85

梯形明渠水力学特征水深的解析计算式研究

作  者：
黄朝煊
单  位：
浙江省水利水电勘测设计院
关键词：
梯形渠道;临界水深;正常水深;无量纲化;数值分析
摘  要：
通过数学理论分析,推出了梯形明渠的临界水深和正常水深高精度解析计算式,并与现有文献相关计算式进行了对比分析。结果表明,新推出的临界水深计算式相对误差小于0.3%;当梯形明渠坡比0.1~7时,新推出的正常水深初值计解析算公式相对误差一般小于3%;另外,给出了收敛速度更快的正常水深迭计算公式,且在m>1时正常水深计算公式在初值迭代一次后其误差均小于0.5%。新推出的梯形明渠临界水深和正常水深解析计算式方便简捷、精度可靠。
译  名：
Analytic Formula of Characteristic Depths for Trapezoidal Open Channel
作  者：
HUANG Chaoxuan;Zhejiang Provincial Water Conservancy and Hydropower Survey and Design Institute;
关键词：
trapezoidal channels;;critical depth;;normal depth;;dimensionless;;numerical analysis
摘  要：
Calculating characteristic level of trapezoidal open channel is particularly important.Through mathematical theory analysis,the high-precision analytic formulas of critical water depth and normal depth for trapezoidal open channel were derived and were analyzed with the equation of existing literature.The results showed that the critical depth formula error was less than 0.3%;when slope ratio of trapezoidal open channel varied from 0.1to 7,the analytical formula of normal depth for calculating the initial count error was less than 3%.The normal depth iterative formula of faster convergence was given,of which the calculated error was less than 0.5% when m was more than 1.The derived trapezoidal critical depth and normal depth analytical formulas facilitate simple and their precision are reliable.

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