Predicting discharge coefficient of triangular side orifice using ANN and GEP models

This study utilized machine learning models to predict the discharge coefficient for a sharp-crested triangular side orifice (TSO). The chosen models were the Artificial Neural Network (ANN) and Gene Expression Programming (GEP). Development of the models was based on 570 experimental datasets, with...

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Main Authors: Mohamed Kamel Elshaarawy, Abdelrahman Kamal Hamed
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Water Science
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Online Access:https://www.tandfonline.com/doi/10.1080/23570008.2023.2290301
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author Mohamed Kamel Elshaarawy
Abdelrahman Kamal Hamed
author_facet Mohamed Kamel Elshaarawy
Abdelrahman Kamal Hamed
author_sort Mohamed Kamel Elshaarawy
collection DOAJ
description This study utilized machine learning models to predict the discharge coefficient for a sharp-crested triangular side orifice (TSO). The chosen models were the Artificial Neural Network (ANN) and Gene Expression Programming (GEP). Development of the models was based on 570 experimental datasets, with 70% allocated for training and the remaining 30% for testing. Five nondimensional parameters were utilized as inputs for the models, including TSO’s crest height to its height (W*=W/H), main channel width to TSO’s base length (L*=B/L), main channel width to TSO’s height (H*=B/H), upstream flow depth to the TSO’s height (Y*=y1/H), and upstream Froude number of the main channel (Fr). While the discharge coefficient (Cd) was defined as the output. Then, the developed models were evaluated by three performance metrics, violin boxplots, and Taylor diagrams to ensure their reliability and accuracy. Furthermore, a sensitivity analysis was conducted to indicate the most effective parameter affecting the Cd value. The findings revealed that both models predicted very well compared to the actual values, with the ANN model emerging as the most reliable predictor. It exhibited the highest determination coefficient (R2), nearing 1, along with the lowest Mean-Square-Error (MSE) and Mean-Absolute-Error (MAE) values, both close to zero. The sensitivity analysis highlighted that the orifice crest height and Froude number significantly impacted the Cd value, contributing to more than 36%. In addition, the predicted discharge coefficient stayed within the range of ± 5.0% of the experimental values. Finally, the developed models demonstrated a high level of equivalence compared to previous studies, especially the ANN model. Therefore, these models are recommended as accurate, robust, and rapid tools to predict the TSO’s discharge coefficient.
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spelling doaj-art-41ae976da53e4f04a1af90048a80d6762025-08-20T02:38:09ZengTaylor & Francis GroupWater Science2357-00082024-12-0138112010.1080/23570008.2023.2290301Predicting discharge coefficient of triangular side orifice using ANN and GEP modelsMohamed Kamel Elshaarawy0Abdelrahman Kamal Hamed1Civil Engineering Department, Faculty of Engineering, Horus University-Egypt, New Damietta, EgyptCivil Engineering Department, Faculty of Engineering, Horus University-Egypt, New Damietta, EgyptThis study utilized machine learning models to predict the discharge coefficient for a sharp-crested triangular side orifice (TSO). The chosen models were the Artificial Neural Network (ANN) and Gene Expression Programming (GEP). Development of the models was based on 570 experimental datasets, with 70% allocated for training and the remaining 30% for testing. Five nondimensional parameters were utilized as inputs for the models, including TSO’s crest height to its height (W*=W/H), main channel width to TSO’s base length (L*=B/L), main channel width to TSO’s height (H*=B/H), upstream flow depth to the TSO’s height (Y*=y1/H), and upstream Froude number of the main channel (Fr). While the discharge coefficient (Cd) was defined as the output. Then, the developed models were evaluated by three performance metrics, violin boxplots, and Taylor diagrams to ensure their reliability and accuracy. Furthermore, a sensitivity analysis was conducted to indicate the most effective parameter affecting the Cd value. The findings revealed that both models predicted very well compared to the actual values, with the ANN model emerging as the most reliable predictor. It exhibited the highest determination coefficient (R2), nearing 1, along with the lowest Mean-Square-Error (MSE) and Mean-Absolute-Error (MAE) values, both close to zero. The sensitivity analysis highlighted that the orifice crest height and Froude number significantly impacted the Cd value, contributing to more than 36%. In addition, the predicted discharge coefficient stayed within the range of ± 5.0% of the experimental values. Finally, the developed models demonstrated a high level of equivalence compared to previous studies, especially the ANN model. Therefore, these models are recommended as accurate, robust, and rapid tools to predict the TSO’s discharge coefficient.https://www.tandfonline.com/doi/10.1080/23570008.2023.2290301Side orificedischarge coefficientartificial neural networkgene expression programmingprediction
spellingShingle Mohamed Kamel Elshaarawy
Abdelrahman Kamal Hamed
Predicting discharge coefficient of triangular side orifice using ANN and GEP models
Water Science
Side orifice
discharge coefficient
artificial neural network
gene expression programming
prediction
title Predicting discharge coefficient of triangular side orifice using ANN and GEP models
title_full Predicting discharge coefficient of triangular side orifice using ANN and GEP models
title_fullStr Predicting discharge coefficient of triangular side orifice using ANN and GEP models
title_full_unstemmed Predicting discharge coefficient of triangular side orifice using ANN and GEP models
title_short Predicting discharge coefficient of triangular side orifice using ANN and GEP models
title_sort predicting discharge coefficient of triangular side orifice using ann and gep models
topic Side orifice
discharge coefficient
artificial neural network
gene expression programming
prediction
url https://www.tandfonline.com/doi/10.1080/23570008.2023.2290301
work_keys_str_mv AT mohamedkamelelshaarawy predictingdischargecoefficientoftriangularsideorificeusingannandgepmodels
AT abdelrahmankamalhamed predictingdischargecoefficientoftriangularsideorificeusingannandgepmodels