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RESEARCH PRODUCT
New Theoretical Solution of Stage-Discharge Relationship for Slit Weirs
Vito FerroIsmail Aydinsubject
Dimensional analysiSelf-similarityBasis (linear algebra)0208 environmental biotechnologyDischarge measurements02 engineering and technologyMechanics01 natural sciencesAgricultural and Biological Sciences (miscellaneous)SlitOpen channel flow010305 fluids & plasmas020801 environmental engineeringOpen-channel flowSelf-similarity0103 physical sciencesWeirSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliStage (hydrology)Discharge measurementWeirWater Science and TechnologyCivil and Structural EngineeringMathematicsdescription
In this paper, the flow-process of a slit weir was analyzed on the basis of a theorem of dimensional analysis and incomplete selfsimilarity theory. The theoretically deduced stage-discharge formula then was calibrated using experimental data obtained for a ratio between the weir and the channel width, ranging from 0.05 to 0.25. The deduced stage-discharge relationship allowed measuring discharge values characterized by errors that, for 98% of the measured values, were less than or equal to 5%. The performance of the proposed theoreticalstage-discharge formula also was improved by introducing the Reynolds number (for 98.5% of the measured values the error was less than or equal to 5%, and the error for 74% of the measured values was less than or equal t0 2%).
year | journal | country | edition | language |
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2018-03-01 | Journal of Irrigation and Drainage Engineering |