Estimating the Discharge Coefficient of the Type B Piano-Key Side Weir at a 120° Curve using RBF and ANFIS Models in Comparison with Artificial Neural Networks

Document Type : Research Paper


1 M.Sc Graduate and PhD. Student, Department of Irrigation and Reclamation Engineering, College of Agriculture and Natural Resources, University of Tehran.

2 Professor, Agricultural Engineering Research Institute, Agricultural Research, Education and Extension Organization (AREEO), Karaj, Iran.


Side weirs are used to control the water level, flow deviations and drain the excess discharge in irrigation networks, sewer systems, and flood control systems. Considering that it is not possible to increase the length of side weirs to increase their capacity, other types of weirs may be used to overcome this problem. Therefore, incorporating weirs that are associated with a higher length of the same width can be helpful. Accordingly, non-linear piano-key weirs may be used side weirs. Numerical methods can be used to estimate the discharge coefficient of piano-key weirs. Bilhan et al. (2011) used an ANN to estimate the discharge coefficient in a curved canal with a labyrinth weir. Ebtehaj et al. (2015) used the GEP model to estimate the coefficient of discharge in a straight canal. Parsaei (2016) studied the accuracy of the ANN in estimating the coefficient of discharge in a sharp-crested rectangular ogee weir and found the ANN to offer an acceptable accuracy. None of the previous studies have addressed the efficiency of intelligent models in estimating the discharge coefficient of ogee-shaped piano-key weirs. Therefore, this study aims to obtain the discharge coefficient of the piano-key weirs using RBF, ANFIS, and ANN models.


Main Subjects

1- Bilhan, O., Emiroglu, M.E. and Kisi, O., 2011. Use of artificial neural networks for prediction of discharge coefficient of triangular labyrinth side weir in curved channels. Advances in Engineering Software, 42(4), pp.208-214.
2- Dursun, O.F., Kaya, N. and Firat, M., 2012. Estimating discharge coefficient of semi-elliptical side weir using ANFIS. Journal of Hydrology, 426, pp.55-62.
3- Ebtehaj, I., Bonakdari, H., Zaji, A.H., Azimi, H. and Khoshbin, F., 2015a. GMDH-type neural network approach for modeling the discharge coefficient of rectangular sharp-crested side weirs. Engineering Science and Technology, an International Journal, 18(4), pp.746-757.
4- Ebtehaj, I., Bonakdari, H., Zaji, A.H., Azimi, H. and Sharifi, A., 2015b. Gene expression programming to predict the discharge coefficient in rectangular side weirs. Applied Soft Computing, 35, pp.618-628.
5- Emiroglu, M.E. and Kisi, O., 2013. Prediction of discharge coefficient for trapezoidal labyrinth side weir using a neuro-fuzzy approach. Water Resources Management, 27(5), pp.1473-1488.
6- Karbasi, M. and Azamathulla, H.M., 2016. GEP to predict characteristics of a hydraulic jump over a rough bed. KSCE Journal of Civil Engineering, 20(7), pp.3006-3011.
7- Mahdavi, A. and Ahadiyan, J., 2015. Evaluation of Statistical, Empirical, Neural Networks and Neural – Fuzzy Techniques for Estimation of Spillway Aerators. Journal of Water Sciences Engineering, 38(3), pp.51-61. (In Persian)
8- Onen, F., 2014. GEP prediction of scour around a side weir in curved channel. Journal of Environmental Engineering and Landscape Management, 22(3), pp.161-170.
9- Parsaie, A., 2016. Predictive modeling the side weir discharge coefficient using neural network. Modeling Earth Systems and Environment, 2:63, 1-11.
10- Salmasi, F., Yıldırım, G., Masoodi, A. and Parsamehr, P., 2013. Predicting discharge coefficient of compound broad-crested weir by using genetic programming (GP) and artificial neural network (ANN) techniques. Arabian Journal of Geosciences, 6(7), pp.2709-2717.
11- Shamshirband, S., Bonakdari, H., Zaji, A.H., Petkovic, D. and Motamedi, S., 2016. Improved side weir discharge coefficient modeling by adaptive neuro-fuzzy methodology. KSCE Journal of Civil Engineering, 20(7), pp.2999-3005.
12- Yar Mohammadi, B., and Ahadiyan, J., 2016. Experimental Study of Flow Hydraulic in Piano Key          Weirs at Different Parapet Wall. Journal of Water Sciences Engineering,39(4), PP. 47-48. (In Persian).  
Volume 43, Issue 1
March 2020
Pages 89-100
  • Receive Date: 06 December 2017
  • Revise Date: 11 March 2018
  • Accept Date: 14 March 2018
  • Publish Date: 20 March 2020