Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression
The influence parameters (Π<sub>1</sub> and Π<sub>2</sub>) of the stable hydraulic geometry of the channel were found based on the dimensional analysis,namely π theorem.In addition,a set of calculation formulas for stable channel width B<sub>R</sub> and stable cha...
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Editorial Office of Pearl River
2023-01-01
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| Series: | Renmin Zhujiang |
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| Online Access: | http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2023.11.014 |
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| author | YAN Zhifang JIA Yunfei |
| author_facet | YAN Zhifang JIA Yunfei |
| author_sort | YAN Zhifang |
| collection | DOAJ |
| description | The influence parameters (Π<sub>1</sub> and Π<sub>2</sub>) of the stable hydraulic geometry of the channel were found based on the dimensional analysis,namely π theorem.In addition,a set of calculation formulas for stable channel width B<sub>R</sub> and stable channel depth h<sub>R</sub> were proposed,with multiple linear regression conducted on 303 sets of sample data from prototype measurements and flume experiments.Yalin and da Silva methods were selected as standard methods to test and compare the formula in this paper,and the results show that the channel width and the channel depth calculated in the scatter plots with both methods are all close to the measured values.In general,the error indexes of the formula in this paper are slightly better than those of the Yalin and da Silva methods,while the difference between them is not significant in terms of the values of the error indexes.Therefore,it can be considered that the calculation accuracy of the two methods is equivalent,and the formula in this paper can be applied to engineering practice. |
| format | Article |
| id | doaj-art-33213536ee4d4cf88796b337e2d97cf5 |
| institution | Kabale University |
| issn | 1001-9235 |
| language | zho |
| publishDate | 2023-01-01 |
| publisher | Editorial Office of Pearl River |
| record_format | Article |
| series | Renmin Zhujiang |
| spelling | doaj-art-33213536ee4d4cf88796b337e2d97cf52025-01-15T02:21:15ZzhoEditorial Office of Pearl RiverRenmin Zhujiang1001-92352023-01-014447627791Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear RegressionYAN ZhifangJIA YunfeiThe influence parameters (Π<sub>1</sub> and Π<sub>2</sub>) of the stable hydraulic geometry of the channel were found based on the dimensional analysis,namely π theorem.In addition,a set of calculation formulas for stable channel width B<sub>R</sub> and stable channel depth h<sub>R</sub> were proposed,with multiple linear regression conducted on 303 sets of sample data from prototype measurements and flume experiments.Yalin and da Silva methods were selected as standard methods to test and compare the formula in this paper,and the results show that the channel width and the channel depth calculated in the scatter plots with both methods are all close to the measured values.In general,the error indexes of the formula in this paper are slightly better than those of the Yalin and da Silva methods,while the difference between them is not significant in terms of the values of the error indexes.Therefore,it can be considered that the calculation accuracy of the two methods is equivalent,and the formula in this paper can be applied to engineering practice.http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2023.11.014dimensional analysismultiple linear regressionstable hydraulic geometry |
| spellingShingle | YAN Zhifang JIA Yunfei Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression Renmin Zhujiang dimensional analysis multiple linear regression stable hydraulic geometry |
| title | Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression |
| title_full | Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression |
| title_fullStr | Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression |
| title_full_unstemmed | Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression |
| title_short | Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression |
| title_sort | study on formula for stable hydraulic geometry of channel based on π theorem and multiple linear regression |
| topic | dimensional analysis multiple linear regression stable hydraulic geometry |
| url | http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2023.11.014 |
| work_keys_str_mv | AT yanzhifang studyonformulaforstablehydraulicgeometryofchannelbasedonptheoremandmultiplelinearregression AT jiayunfei studyonformulaforstablehydraulicgeometryofchannelbasedonptheoremandmultiplelinearregression |