Estimation of Discharge Coefficient of the Trapezoidal Broad Crested Weir Flow Using Support Vector Machines

Weirs are the oldest and most practical structures used to control, regulate, and measure flow in rivers or open channels. The ratio of the actual discharge, smaller than the theoretical discharge due to the separation zone and boundary layer development, to the theoretically discharge is defined as...

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Bibliographic Details
Main Authors: Oğuz ŞİMŞEK, Veysel GÜMÜŞ, Abdulkadir ÖZLÜK
Format: Article
Language:English
Published: Gazi University 2021-09-01
Series:Gazi Üniversitesi Fen Bilimleri Dergisi
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1742385
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Summary:Weirs are the oldest and most practical structures used to control, regulate, and measure flow in rivers or open channels. The ratio of the actual discharge, smaller than the theoretical discharge due to the separation zone and boundary layer development, to the theoretically discharge is defined as the discharge coefficient (Cd). Cd values are depended on the hydraulic properties of the open channel flow and the type and geometric properties of the weir. In this study, a total of 88 weir head (H0) of the trapezoidal broad crested weir with different upstream and downstream slopes are experimentally measured and Cd values are calculated according to the weir characteristics. Calculated Cd values are estimated by using eight different input combinations with the dimensionless parameters. Three different kernel functions (Linear, Polynomial and Gaussian) of Support Vector Machines method are used. To determine the performance of the models, Root Mean Square Error (RMSE), Mean Absolute Percentage Error (MAPE), and the coefficient of determination (R2) values are employed. As a result of the study, the Gaussian kernel function is the most successful model and the input combination is H0/L (L as crest height), ɛ (H0/(H0+L)), upstream slope (α) and downstream slope (ꞵ) parameters are found to be most successful model to estimate Cd values.
ISSN:2147-9526