Why dimensional analysis and self-similarity are useful to determine a stage-discharge relationship: A review

IF 2.7 3区工程技术 Q2 ENGINEERING, MECHANICAL

Flow Measurement and Instrumentation Pub Date : 2025-08-14 DOI:10.1016/j.flowmeasinst.2025.103025

Mohammad Bijankhan , Costanza Di Stefano , Alessio Nicosia , Vito Ferro

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引用次数: 0

Abstract

The stage-discharge relationship of weirs, gates, and flumes is generally deduced by applying classical physics and using the experimental analysis to study the flow characteristics and correct the deviations of the theoretical discharge from the measured one by an empirical discharge coefficient. For these measurement devices, the classical hydraulic approach continues to be widely applied, notwithstanding studies applying dimensional analysis to investigate the flow over the weirs, under the gates, and in a flume are available and useful to obtain accurate theoretical stage-discharge relationships. This paper presents the state of the art on the application of dimensional analysis and self-similarity theory for different types of weirs, gates, and measurement flumes. The main aim is to demonstrate the usefulness of this approach, in comparison with the classic hydraulic one, to deduce a theoretically based stage-discharge relationship.

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为什么量纲分析和自相似性对确定级流量关系有用：综述

堰、闸、水槽的级流量关系一般采用经典物理理论和实验分析方法来研究其流动特性，并用经验流量系数来修正理论流量与实测流量的偏差。对于这些测量装置，经典的水力方法继续被广泛应用，尽管研究应用量纲分析来调查堰上、闸下和水槽内的流量是可用的，并且有助于获得准确的理论级流量关系。本文介绍了量纲分析和自相似理论在不同类型堰、闸和测量水槽中的应用现状。主要目的是证明该方法的有效性，与经典的水力方法相比，推导出基于理论的级流量关系。

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

Flow Measurement and Instrumentation 工程技术-工程：机械

CiteScore

4.30

自引率

13.60%

发文量

123

审稿时长

6 months

期刊介绍： Flow Measurement and Instrumentation is dedicated to disseminating the latest research results on all aspects of flow measurement, in both closed conduits and open channels. The design of flow measurement systems involves a wide variety of multidisciplinary activities including modelling the flow sensor, the fluid flow and the sensor/fluid interactions through the use of computation techniques; the development of advanced transducer systems and their associated signal processing and the laboratory and field assessment of the overall system under ideal and disturbed conditions. FMI is the essential forum for critical information exchange, and contributions are particularly encouraged in the following areas of interest: Modelling: the application of mathematical and computational modelling to the interaction of fluid dynamics with flowmeters, including flowmeter behaviour, improved flowmeter design and installation problems. Application of CAD/CAE techniques to flowmeter modelling are eligible. Design and development: the detailed design of the flowmeter head and/or signal processing aspects of novel flowmeters. Emphasis is given to papers identifying new sensor configurations, multisensor flow measurement systems, non-intrusive flow metering techniques and the application of microelectronic techniques in smart or intelligent systems. Calibration techniques: including descriptions of new or existing calibration facilities and techniques, calibration data from different flowmeter types, and calibration intercomparison data from different laboratories. Installation effect data: dealing with the effects of non-ideal flow conditions on flowmeters. Papers combining a theoretical understanding of flowmeter behaviour with experimental work are particularly welcome.