Energy flow rate equation for river networks

IF 3.7 Q1 WATER RESOURCES

Water science and engineering Pub Date : 2025-06-01 DOI:10.1016/j.wse.2025.04.003

Sai-yu Yuan , Jia-wei Lin , Hong-wu Tang

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引用次数: 0

Abstract

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.

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河网的能量流量方程

合理配置河网水能是解决河网区域水问题的关键。然而，现有的河网流能时空分布计算方法缺乏精度和效率。本文引入了一种新的水动力表示，即能量流量，它被定义为流量与动能水头的乘积，用来量化河网中储存和输送的动能。从理论上推导了河网能量流量的线性方程组，实现了在定流条件下的快速计算。提出了一个简化的方程来描述能量流率的指数衰减，并伴有势能转换。线性方程组的系数由汇流和导流节点的控制方程确定。该研究为开发新的水动力学建模策略以调节水流能量和实现河网中与水有关的问题的协调管理提供了基础见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Water science and engineering WATER RESOURCES-

CiteScore

6.60

自引率

5.00%

发文量

573

审稿时长

50 weeks

期刊介绍： Water Science and Engineering journal is an international, peer-reviewed research publication covering new concepts, theories, methods, and techniques related to water issues. The journal aims to publish research that helps advance the theoretical and practical understanding of water resources, aquatic environment, aquatic ecology, and water engineering, with emphases placed on the innovation and applicability of science and technology in large-scale hydropower project construction, large river and lake regulation, inter-basin water transfer, hydroelectric energy development, ecological restoration, the development of new materials, and sustainable utilization of water resources.