Dimensional Analysis and Stage-Discharge Relationships for Vegetated Weirs

IF 3.9 3区环境科学与生态学 Q1 ENGINEERING, CIVIL

Water Resources Management Pub Date : 2023-10-05 DOI:10.1007/s11269-023-03636-4

Alessio Nicosia, Costanza Di Stefano, Maria Angela Serio, Vito Ferro

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Abstract

Abstract The deduction of the weir flow stage-discharge relationship is a hydraulic problem generally solved by energy considerations and using the discharge coefficient to correct the gap between theoretical results and experimental measurements. In this context, the dimensional analysis represents an alternative to find simple and reliable equations to obtain the rating curve. In this study, the outflow process of vegetated weirs is investigated applying the Π-Theorem of dimensional analysis and the incomplete self-similarity theory. The aim of this paper is to propose a new theoretically-based stage-discharge relationship, and test its applicability by measurements recently published in the literature. The results showed that the errors in discharge estimate obtained by the proposed stage-discharge relationship are always less than or equal to ± 10% and less than or equal to ± 5% for 97–100% of cases. The main advantage of the proposed relationships is providing a single stage-discharge relationship, which has better performances than the equations reported in the literature and excludes the use of discharge coefficient.

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植被堰的量纲分析及级流量关系

摘要堰级流量关系的推导是一个通常从能量考虑并利用流量系数来修正理论结果与实验测量之间差距的水力学问题。在这种情况下，量纲分析是寻找简单可靠的方程来获得评级曲线的一种替代方法。本文应用量纲分析Π-Theorem和不完全自相似理论对植被堰的出流过程进行了研究。本文的目的是提出一种新的基于理论的级流量关系，并通过最近发表的文献测量来检验其适用性。结果表明，所提出的阶段-流量关系估算的流量误差在97 ~ 100%的情况下均小于等于±10%，小于等于±5%。所提出的关系的主要优点是提供了单级流量关系，它比文献中报道的方程具有更好的性能，并且不使用流量系数。

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来源期刊

Water Resources Management 环境科学-工程：土木

CiteScore

7.40

自引率

16.30%

发文量

332

审稿时长

9 months

期刊介绍： Water Resources Management is an international, multidisciplinary forum for the publication of original contributions and the exchange of knowledge and experience on the management of water resources. In particular, the journal publishes contributions on water resources assessment, development, conservation and control, emphasizing policies and strategies. Contributions examine planning and design of water resource systems, and operation, maintenance and administration of water resource systems. Coverage extends to these closely related topics: water demand and consumption; applied surface and groundwater hydrology; water management techniques; simulation and modelling of water resource systems; forecasting and control of quantity and quality of water; economic and social aspects of water use; legislation and water resources protection. Water Resources Management is supported scientifically by the European Water Resources Association, a scientific and technical nonprofit-making European association.