6533b873fe1ef96bd12d591b

RESEARCH PRODUCT

New Theoretical Solution of Stage-Discharge Relationship for Slit Weirs

Vito FerroIsmail Aydin

subject

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 EngineeringMathematics

description

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%).

https://doi.org/10.1061/(asce)ir.1943-4774.0001285