A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel
Flow measurements in open channels have often utilized velocity-area methods. Thus, estimations of the average velocity in a cross-section of rural canals play an important role in the flow measurement of an irrigation district. This paper derives a model for calculating depth average velocity. This...
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MDPI AG
2019-08-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/9/16/3222 |
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| author | Zhuangzhuang Ma Zhangsheng Wu Tongshu Li Yu Han Jian Chen Liangpei Zhang |
| author_facet | Zhuangzhuang Ma Zhangsheng Wu Tongshu Li Yu Han Jian Chen Liangpei Zhang |
| author_sort | Zhuangzhuang Ma |
| collection | DOAJ |
| description | Flow measurements in open channels have often utilized velocity-area methods. Thus, estimations of the average velocity in a cross-section of rural canals play an important role in the flow measurement of an irrigation district. This paper derives a model for calculating depth average velocity. This model considers the classical logarithmic formula describing the velocity distribution and flow partitioning theory, which is aimed at finding out a location that represents the depth average velocity (LDAV) along the vertical line from boundary to water surface. Subsequently, the average flow velocity of the whole channel can be further determined by using the velocity-area method in different regions. Moreover, the LDAV has different expressions in different sub-regions according to flow partitioning theory under various aspect ratios. The results are verified by experiments under different experimental conditions, and the formula is highly applicable and has a high theoretical significance and practical value. |
| first_indexed | 2024-12-11T21:11:40Z |
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| id | doaj.art-f748ab56e3fd4e07902eb426d421a3c1 |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-11T21:11:40Z |
| publishDate | 2019-08-01 |
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| series | Applied Sciences |
| spelling | doaj.art-f748ab56e3fd4e07902eb426d421a3c12022-12-22T00:50:43ZengMDPI AGApplied Sciences2076-34172019-08-01916322210.3390/app9163222app9163222A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation ChannelZhuangzhuang Ma0Zhangsheng Wu1Tongshu Li2Yu Han3Jian Chen4Liangpei Zhang5College of Water Resources & Civil Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, ChinaCollege of Water Resources & Civil Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, ChinaCollege of Water Resources & Civil Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, ChinaCollege of Water Resources & Civil Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, ChinaCollege of Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, ChinaState Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, 129 Luoyu Rd., Wuhan 430079, ChinaFlow measurements in open channels have often utilized velocity-area methods. Thus, estimations of the average velocity in a cross-section of rural canals play an important role in the flow measurement of an irrigation district. This paper derives a model for calculating depth average velocity. This model considers the classical logarithmic formula describing the velocity distribution and flow partitioning theory, which is aimed at finding out a location that represents the depth average velocity (LDAV) along the vertical line from boundary to water surface. Subsequently, the average flow velocity of the whole channel can be further determined by using the velocity-area method in different regions. Moreover, the LDAV has different expressions in different sub-regions according to flow partitioning theory under various aspect ratios. The results are verified by experiments under different experimental conditions, and the formula is highly applicable and has a high theoretical significance and practical value.https://www.mdpi.com/2076-3417/9/16/3222flow partitioningvelocityflow measurementlog-law |
| spellingShingle | Zhuangzhuang Ma Zhangsheng Wu Tongshu Li Yu Han Jian Chen Liangpei Zhang A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel Applied Sciences flow partitioning velocity flow measurement log-law |
| title | A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel |
| title_full | A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel |
| title_fullStr | A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel |
| title_full_unstemmed | A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel |
| title_short | A Simplified Computational Model for the Location of Depth Average Velocity in a Rectangular Irrigation Channel |
| title_sort | simplified computational model for the location of depth average velocity in a rectangular irrigation channel |
| topic | flow partitioning velocity flow measurement log-law |
| url | https://www.mdpi.com/2076-3417/9/16/3222 |
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