Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length
Abstract- A gradually varied flow computation is important for the design of water structures. To design dimensions of channels, examining the depth of water in a gradually varied flow is required. In this study, experiments study were performed to evaluate different methods for calculating the leng...
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| Format: | Article |
| Language: | Arabic |
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Faculty of engineering, Tanta University
2021-12-01
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| Series: | Journal of Engineering Research - Egypt |
| Subjects: | |
| Online Access: | https://erjeng.journals.ekb.eg/article_204400_e42717864908784a6957f5ed5b3b4244.pdf |
| _version_ | 1797799131558707200 |
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| author | Amal Naeem Ebrahim Rashwan Mossad Khadr |
| author_facet | Amal Naeem Ebrahim Rashwan Mossad Khadr |
| author_sort | Amal Naeem |
| collection | DOAJ |
| description | Abstract- A gradually varied flow computation is important for the design of water structures. To design dimensions of channels, examining the depth of water in a gradually varied flow is required. In this study, experiments study were performed to evaluate different methods for calculating the lengths of gradually varied flow curves in mild slope circular open channel. The study was performed in a circular flume with an inner diameter equal to 24.40 cm with a mild slope equal to 0.00083 for different discharges from 2.38 l/sec to 14.08 l/sec. The objective of this study is to compare water surface profiles resulting from experimental measurements with the water surface profiles computed from graphical integration method), direct step method, and Runge-Kutta method for two gradually varied flow curves M3 and M2. The graphical integration method has a minimum percentage error of -0.18% and a maximum of -8.68% for M3 curves, while it has a minimum percentage error of 0.78% and a maximum of 8.37% for M2 curves. The direct step method has a minimum percentage error of 0.04% and a maximum of 9.34% for M3 curves while having a minimum percentage error of 0.91% and a maximum of 8.25 for curves M2 curves. For the Runge-Kutta method, the maximum error in water surface for all runs is -5.00% for M3 curves and 1.95% for M2 curves. The Runge-Kutta method perfectly fits in the circular channels. |
| first_indexed | 2024-03-13T04:14:22Z |
| format | Article |
| id | doaj.art-3189bc8c651d4d2f975ea0ce5a85463d |
| institution | Directory Open Access Journal |
| issn | 2356-9441 2735-4873 |
| language | Arabic |
| last_indexed | 2024-03-13T04:14:22Z |
| publishDate | 2021-12-01 |
| publisher | Faculty of engineering, Tanta University |
| record_format | Article |
| series | Journal of Engineering Research - Egypt |
| spelling | doaj.art-3189bc8c651d4d2f975ea0ce5a85463d2023-06-21T06:47:12ZaraFaculty of engineering, Tanta UniversityJournal of Engineering Research - Egypt2356-94412735-48732021-12-0154152410.21608/erjeng.2021.104696.1038204400Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental LengthAmal Naeem0Ebrahim Rashwan1Mossad Khadr2Department of hydraulic and irrigation, faculty of engineering, Tanta university, Tanta, EgyptProfessor of Irrigation & Hydraulics EngineeringCollege of Engineering, University of Bisha, Bisha, Saudi Arabia, Department of Irrigation and Hydraulics Engineering, Faculty of Engineering, Tanta University, Tanta, Egypt,Abstract- A gradually varied flow computation is important for the design of water structures. To design dimensions of channels, examining the depth of water in a gradually varied flow is required. In this study, experiments study were performed to evaluate different methods for calculating the lengths of gradually varied flow curves in mild slope circular open channel. The study was performed in a circular flume with an inner diameter equal to 24.40 cm with a mild slope equal to 0.00083 for different discharges from 2.38 l/sec to 14.08 l/sec. The objective of this study is to compare water surface profiles resulting from experimental measurements with the water surface profiles computed from graphical integration method), direct step method, and Runge-Kutta method for two gradually varied flow curves M3 and M2. The graphical integration method has a minimum percentage error of -0.18% and a maximum of -8.68% for M3 curves, while it has a minimum percentage error of 0.78% and a maximum of 8.37% for M2 curves. The direct step method has a minimum percentage error of 0.04% and a maximum of 9.34% for M3 curves while having a minimum percentage error of 0.91% and a maximum of 8.25 for curves M2 curves. For the Runge-Kutta method, the maximum error in water surface for all runs is -5.00% for M3 curves and 1.95% for M2 curves. The Runge-Kutta method perfectly fits in the circular channels.https://erjeng.journals.ekb.eg/article_204400_e42717864908784a6957f5ed5b3b4244.pdfgradually varied flowcircular channelmild slopecomputation flow profilerunge-kutta method |
| spellingShingle | Amal Naeem Ebrahim Rashwan Mossad Khadr Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length Journal of Engineering Research - Egypt gradually varied flow circular channel mild slope computation flow profile runge-kutta method |
| title | Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length |
| title_full | Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length |
| title_fullStr | Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length |
| title_full_unstemmed | Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length |
| title_short | Comparison between Methods for Estimating Length of G.V.F. Curves in Mild Circular Open Channel with Experimental Length |
| title_sort | comparison between methods for estimating length of g v f curves in mild circular open channel with experimental length |
| topic | gradually varied flow circular channel mild slope computation flow profile runge-kutta method |
| url | https://erjeng.journals.ekb.eg/article_204400_e42717864908784a6957f5ed5b3b4244.pdf |
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