基于二元非线性拟合的溢洪道宽顶堰流量系数公式研究及应用  

Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting

作　　者：闫志方 贾云飞 王宇[3] YAN Zhifang;JIA Yunfei;WANG Yu(Guangdong Zhurong Architecture&Engineering Design Co.,Ltd.,Guangzhou 510610,China;Guangzhou Development Zone Financial Investment and Construction Project Management Center,Guangzhou 510000,China;State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,Nanjing Hydraulic Research Institute,Nanjing 210029,China)

机构地区：[1]广东珠荣工程设计有限公司,广东广州510610 [2]广州开发区财政投资建设项目管理中心,广东广州510000 [3]南京水利科学研究院水文水资源与水利工程科学国家重点实验室,江苏南京210029

出　　处：《人民珠江》2021年第12期82-89,共8页Pearl River

基　　金：国家自然科学基金(52009083);江苏省自然科学基金(BK20200159)。

摘　　要：为方便对现行水利行业溢洪道设计规范中宽顶堰流量系数表格的使用,采用二元有理函数逼近对现行水利规范表格数据进行拟合得到宽顶堰流量系数公式。将拟合公式与现行电力规范公式进行验证比较,结果显示拟合公式计算结果优于电力规范公式;经比较拟合公式及电力规范公式误差指标,拟合公式在r/H各取值下各误差指标均在较优的范围内,而电力规范公式仅在r/H≥0.20时各误差指标偏离最优值较小;应用拟合公式计算某水库溢洪道宽顶堰在不同圆角半径时一系列堰顶水头对应流量系数,并对计算结果进行分析,结果表明在工程设计中可用拟合公式替代查水利规范表格确定宽顶堰流量系数。In order to facilitate the use of the discharge coefficient table of broad crest weir in the current design code for Spillway of water conservancy,the discharge coefficient formula of broad crest weir is obtained by fitting the data in the current water conservancy code with bivariate rational function approximation.By Comparing the fitting formula with the current power code formula,the results show that the fitting formula is better than the current power code formula.By comparing the error indexes of fitting formula and power code formula,it is found that the error indexes of fitting formula are in the better range under each value of r/H,while the deviation of each error index of power code from the optimal value is small when r/H≥0.20.The fitting formula is used to calculate a series of discharge coefficients corresponding to water head at different fillet radii of a spillway broad crest weir.Through the analysis of the calculation results,it can be seen that the fitting formula can be used to calculate the discharge coefficient of broad crest weir in engineering design instead of consulting the water conservancy code table.

关 键 词：二元非线性拟合 二元有理函数 宽顶堰流量系数 

分 类 号：TV651.1[水利工程—水利水电工程]