6533b85bfe1ef96bd12bb6aa
RESEARCH PRODUCT
New stage-discharge relationship for inclined non-rectangular weirs
Vito Ferrosubject
Stage-discharge0208 environmental biotechnologyComputer Science Applications1707 Computer Vision and Pattern RecognitionGeometry04 agricultural and veterinary sciences02 engineering and technologyOpen channel flow020801 environmental engineeringComputer Science ApplicationsPower (physics)Modeling and SimulationInclination angleWeir040103 agronomy & agricultureExponentInclined weir0401 agriculture forestry and fisheriesOutflowStage (hydrology)Buckingham theoremElectrical and Electronic EngineeringConstant (mathematics)InstrumentationMathematicsdescription
Abstract In this paper, the outflow process of inclined non-rectangular weirs is studied applying the dimensional analysis and the incomplete self-similarity theory. At first, a new stage-discharge equation, applicable for the non-rectangular weirs having a different geometrical shape (parabolic, semicircular, inverted semicircular), is theoretically deduced using a characteristic width. Then, this power stage-discharge relationship (Eq. (17) ) is calibrated and tested using measurements carried out by Raiknar for parabolic, semicircular and inverted semicircular weirs having different inclination respect to the vertical (10°, 20°, 30°, 40° and 45°). For each geometrical shape, the analysis showed that the exponent of the power stage-discharge relationship is quasi constant while its coefficient is related to the weir inclination. Finally, the accuracy of the stage-discharge relationship was improved taking into account the effect of the weir inclination angle. The proposed stage-discharge equations (Eqs. (20) , (21) , (22) ) allow to calculate discharge values which are characterized by an estimate accuracy always greater than that of the corresponding values calculated by relationships proposed by Raiknar.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-12-01 | Flow Measurement and Instrumentation |