Energy flow rate equation for river networks
Rational allocation of water flow energy in river networks is essential to addressing water-related issues in river network areas. However, current methods of calculating the spatiotemporal distribution of flow energy in river networks lack precision and efficiency. This paper introduces a novel hyd...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Water Science and Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1674237025000286 |
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| author | Sai-yu Yuan Jia-wei Lin Hong-wu Tang |
| author_facet | Sai-yu Yuan Jia-wei Lin Hong-wu Tang |
| author_sort | Sai-yu Yuan |
| collection | DOAJ |
| description | Rational allocation of water flow energy in river networks is essential to addressing water-related issues in river network areas. However, current methods of calculating the spatiotemporal distribution of flow energy in river networks lack precision and efficiency. This paper introduces a novel hydrodynamic representation, the energy flow rate, defined as the product of the flow rate and kinetic energy head, to quantify the kinetic energy stored and transported in river networks. A linear equation system for the energy flow rate in a river network has been theoretically derived, enabling rapid calculations under steady flow conditions. A simplified equation is proposed to describe the exponential decay of the energy flow rate, accompanied by potential energy conversion. The coefficients in the linear equation system are determined using control equations at flow confluence and diversion nodes. This study provides foundational insights that can be used to develop new hydrodynamic modeling strategies to regulate water flow energy and achieve coordinated management of water-related issues in river networks. |
| format | Article |
| id | doaj-art-a22475c49cbd4c3491ae04a67ad4597c |
| institution | OA Journals |
| issn | 1674-2370 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Water Science and Engineering |
| spelling | doaj-art-a22475c49cbd4c3491ae04a67ad4597c2025-08-20T02:17:19ZengElsevierWater Science and Engineering1674-23702025-06-0118222122410.1016/j.wse.2025.04.003Energy flow rate equation for river networksSai-yu Yuan0Jia-wei Lin1Hong-wu Tang2The National Key Laboratory of Water Disaster Prevention, Hohai University, Nanjing 210098, China; Key Laboratory of Hydrologic-Cycle and Hydrodynamic-System of Ministry of Water Resources, Hohai University, Nanjing 210098, China; Corresponding author.The National Key Laboratory of Water Disaster Prevention, Hohai University, Nanjing 210098, ChinaThe National Key Laboratory of Water Disaster Prevention, Hohai University, Nanjing 210098, China; Key Laboratory of Hydrologic-Cycle and Hydrodynamic-System of Ministry of Water Resources, Hohai University, Nanjing 210098, ChinaRational allocation of water flow energy in river networks is essential to addressing water-related issues in river network areas. However, current methods of calculating the spatiotemporal distribution of flow energy in river networks lack precision and efficiency. This paper introduces a novel hydrodynamic representation, the energy flow rate, defined as the product of the flow rate and kinetic energy head, to quantify the kinetic energy stored and transported in river networks. A linear equation system for the energy flow rate in a river network has been theoretically derived, enabling rapid calculations under steady flow conditions. A simplified equation is proposed to describe the exponential decay of the energy flow rate, accompanied by potential energy conversion. The coefficients in the linear equation system are determined using control equations at flow confluence and diversion nodes. This study provides foundational insights that can be used to develop new hydrodynamic modeling strategies to regulate water flow energy and achieve coordinated management of water-related issues in river networks.http://www.sciencedirect.com/science/article/pii/S1674237025000286River networkEnergy flow rateHydrodynamic reconstructionFlow energy allocationIntegrated management |
| spellingShingle | Sai-yu Yuan Jia-wei Lin Hong-wu Tang Energy flow rate equation for river networks Water Science and Engineering River network Energy flow rate Hydrodynamic reconstruction Flow energy allocation Integrated management |
| title | Energy flow rate equation for river networks |
| title_full | Energy flow rate equation for river networks |
| title_fullStr | Energy flow rate equation for river networks |
| title_full_unstemmed | Energy flow rate equation for river networks |
| title_short | Energy flow rate equation for river networks |
| title_sort | energy flow rate equation for river networks |
| topic | River network Energy flow rate Hydrodynamic reconstruction Flow energy allocation Integrated management |
| url | http://www.sciencedirect.com/science/article/pii/S1674237025000286 |
| work_keys_str_mv | AT saiyuyuan energyflowrateequationforrivernetworks AT jiaweilin energyflowrateequationforrivernetworks AT hongwutang energyflowrateequationforrivernetworks |