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

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 funct...

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Main Authors: YAN Zhifang, JIA Yunfei, WANG Yu
Format: Article
Language:zho
Published: Editorial Office of Pearl River 2021-01-01
Series:Renmin Zhujiang
Subjects:
Online Access:http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2021.12.011
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author YAN Zhifang
JIA Yunfei
WANG Yu
author_facet YAN Zhifang
JIA Yunfei
WANG Yu
author_sort YAN Zhifang
collection DOAJ
description 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.
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institution Kabale University
issn 1001-9235
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publisher Editorial Office of Pearl River
record_format Article
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spelling doaj-art-32c2227d27f64c08af4c83c45b80d55e2025-01-15T02:28:15ZzhoEditorial Office of Pearl RiverRenmin Zhujiang1001-92352021-01-014247646483Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear FittingYAN ZhifangJIA YunfeiWANG YuIn 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.http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2021.12.011binary nonlinear fittingbivariate rational functiondischarge coefficient of broad crest weir
spellingShingle YAN Zhifang
JIA Yunfei
WANG Yu
Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting
Renmin Zhujiang
binary nonlinear fitting
bivariate rational function
discharge coefficient of broad crest weir
title Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting
title_full Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting
title_fullStr Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting
title_full_unstemmed Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting
title_short Research and Application of the Formula for Calculating Discharge Coefficient of the Spillway Broad Crest Weir Based on the Binary Nonlinear Fitting
title_sort research and application of the formula for calculating discharge coefficient of the spillway broad crest weir based on the binary nonlinear fitting
topic binary nonlinear fitting
bivariate rational function
discharge coefficient of broad crest weir
url http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2021.12.011
work_keys_str_mv AT yanzhifang researchandapplicationoftheformulaforcalculatingdischargecoefficientofthespillwaybroadcrestweirbasedonthebinarynonlinearfitting
AT jiayunfei researchandapplicationoftheformulaforcalculatingdischargecoefficientofthespillwaybroadcrestweirbasedonthebinarynonlinearfitting
AT wangyu researchandapplicationoftheformulaforcalculatingdischargecoefficientofthespillwaybroadcrestweirbasedonthebinarynonlinearfitting