半立方抛物线形断面收缩水深简化计算  

A direct calculation formula for contracted water depth in semi-cubic parabolic cross-sections

作　　者：沈刚 彭凯 王洁 沈洲 孙少江 SHEN Gang;PENG Kai;WANG Jie;SHEN Zhou;SUN Shao-jiang(Liyang Water Conservancy Bureau,Liyang 213300,China;College of Hydraulic,Energy and Power Engineering,Yangzhou University,Yangzhou 225009,China;Jiangmen Branchof Guangdong Hydrology Bureau,Jiangmen 529030,China)

机构地区：[1]溧阳市水利局,江苏溧阳213300 [2]扬州大学水利与能源动力工程学院,江苏扬州225009 [3]广东省水文局江门水文分局,广东江门529030

出　　处：《水科学与工程技术》2018年第2期14-16,共3页Water Sciences and Engineering Technology

摘　　要：针对现有半立方抛物线形断面收缩水深计算公式中存在参数多、计算过程复杂的问题,通过对基本方程进行数学变换,得到无量纲迭代式,在此基础上建立了一套形式简捷的直接计算公式。误差分析及实例计算结果表明:在适用范围内,收缩水深计算值的最大相对误差绝对值仅0.296%,在不借助于迭代计算的前提下提高了计算效率,为工程设计及水工设计手册的编制提供参考。Aiming at the problem that the existing formulae for calculating contracted water depth in semi-cubic parabolic cross-sections have multi-parameter forms and complex computational process,mathematical manipulations were made to the fundamental equation,thus deriving a dimensionless iterative expression,on which basis an explicit formula of simple form was established.Results of error analysis and calculation example indicate that the maximum absolute relative errors of the computed values of contracted water depth was only 0.296%within the applicable range.The proposed equation perfectly improves the computational efficiency and accuracy without the iteration calculating process,which would be used for engineering design practice and for the compilation of hydraulic structure design handbooks.

关 键 词：抛物线形断面 收缩水深 高次方程 简化计算 

分 类 号：TV131.4[水利工程—水力学及河流动力学]