Estimation of Discharge Coefficient of Curved Plan-form Labyrinth Weirs using a Hybrid WOA-ANFIS Method

Document Type : Original Article

Authors

1 Water Engineering Department of Tabriz

2 Department of Water Engineering, University of Tabriz

3 University of Bonab, Bonab, Iran

Abstract

The use of labyrinth weirs is one of the most effective and economical ways to increase weir efficiency by enhancing weir crown length, so that at a specified width and hydraulic height compared to other weirs, more discharge passes. In this study, the hybrid method of the Whale optimization algorithm and the fuzzy neural- inference system to estimate the optimal discharge coefficient of labyrinth weirs with the curved plan is introduced. In the proposed method, the efficiency and convergence of the Whale algorithm have been measured. The experimental data were used to validate the proposed method. The performance of the proposed method was evaluated with four statistics, including the correlation coefficient (R2), the root means square error (RMSE), the mean absolute error (MAE) and the efficiency criterion (NSE). The results indicate a good match between the observed and estimated values. The results of the WOA-ANFIS method with (H /P) and (θ), showed that the discharge coefficient of labyrinth weirs with the curved plan (Cd=0.786) in compared to labyrinth weirs with a triangular plan (Cd=0.682), it increases by 10%. Also, statistical analyzes performed on the obtained results showed that the WOA-ANFIS method with high values of RMSE = 0.021, R2 = 0.981, MAE = 0.010 and NSE = 0.976 has high efficiency in estimating the discharge coefficient of this type of weirs.

Keywords

References

نصراصفهانی، ا. بهینه سازی هوشمند ضریب آبگذری سرریز اوجی. پایان­نامه کارشناسی­ارشد سازه‌های هیدرولیکی، دانشکده مهندسی عمران، دانشگاه پیام نور مرکز تهران شمال.
امامی، س. 1395. بررسی عددی تأثیر پارامترهای هندسی سرریز منقاری بر ضریب دبی جریان. پایان­نامه کارشناسی­ارشد سازه‌های آبی، دانشکده کشاورزی، دانشگاه تبریز.
خوشبین، ف.، ابتهاج، ع.، بنکداری، ح. و لشته­نشایی م.ا. 1393. ارایه مدل ریاضی جهت پیش­بینی ضریب دبی سرریز کنگره­ای مثلثی با استفاده از شبکه عصبی GMDH و الگوریتم ژنتیک. سیزدهمین کنفرانس هیدرولیک ایران. آبان ماه، دانشکده کشاورزی دانشگاه تبریز.
ظهیری، ع. 1394. استخراج رابطه ضریب دبی در سرریزهای قوسی به کمک روش برنامه­ریزی ژنتیک. نشریه آبیاری و زهکشی ایران. 9(2): 334-232.
حیاتی، ف.، یعقوبی، ب.، و ایزدبخش، م.ع. 1398. پیش­بینی ضریب دبی سرریزهای مثلثی در پلان با استفاده از مدل ترکیبی مبتنی بر سیستم نرو فازی و الگوریتم تکامل تفاضلی. نشریه علمی سد و نیروگاه برق آبی. 6(22): 95-85.
کیاء، ع.، عمادی، ع. ر.، و غلامی سفیدکوهی، م.ع. 1398. مدل‌سازی بارش-رواناب با سیستم استنتاج فازی-عصبی تطبیقی (ANFIS) و رگرسیون خطی چندمتغیره (MLR). نشریه مهندسی آب و آبیاری ایران. 9(4): 39-51.
Emami, S., Arvanaghi, H. and Parsa, J. 2018. Numerical investigation of geometric parameters effect of the labyrinth weir on the discharge coefficient. Journal of Rehabilitation in Civil Engineering. 6(1): 1-9.
Hay, N. and Taylor, G. 1970. Performance and design of labyrinth weirs. Journal of Hydraulic Engineering. 96(11): 2337–2357.
Taylor, G. 1968. The performance of labyrinth weirs. Ph.D. Thesis, University of Nottingham, Nottingham, UK.
Lux, F.L. and Hinchcliff, D. 2003. Design and construction of labyrinth spillways. International Congress on Large Dams. ICOLD Paris France, 4(15): 249-274.
Haghiabi, A.H., Parsaie, A. and Ememgholizadeh, S. 2017. Prediction of discharge coefficient of triangular labyrinth weirs using Adaptive Neuro Fuzzy Inference System. Alexandria Engineering Journal. 57(3): 1773-1782.
Bonakdari, H. and Zaji, A.H. 2018. New type side weir discharge coefficient simulation using three novel hybrid adaptive neuro-fuzzy inference systems. Applied Water Science. 8(1): 1-15. 
Ayaz,M.D. Mansoor, T. 2019. Discharge coefficient of oblique sharp crested weir for free and submerged flow using trained ANN model. Water Science. 32(2): 192-212.
Bonakdari, H., Ebtehaj, I., Gharabaghi, B. and Sharifi, A. 2020. Prediction of discharge capacity of labyrinth weir with Gene Expression Programming. doi: 10.20944/preprints202001.0313.v1.
Shafiei, S., NajarchiM. and Shabanlou, S. 2020. A novel approach using CFD and neuro-fuzzy-firefly algorithm in predicting labyrinth weir discharge coefficient. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 42(1), 44.
Kumar, S., Ahmad, Z., Mansoor, T. and Himanshu, S.K. 2012. Discharge Characteristics of Sharp Crested Weir of Curved Plan-form. Research Journal of Engineering Sciences. 1(4): 16-20.
Rehbock, T. 1929. Discussion of Precise weir measurement. by E.W. Schoder and K. B. Turner, Trans., ASCE. 93: 1143-1162.  
Henderson, F.M. 1966. Open Channel flow. Macmillan Publishing, New York.
Tullis, J.P., Nosratollah, A. and Waldron, D. 1995. Design of Labyrinth Spillways. Journal of Hydraulic Engineering ASCE. 121(3): 247-255.
Mirjalili, S.A. and Lewis, A. 2016. The Whale Optimization Algorithm. Advances in Engineering Software. 95: 51-67.
Jang, J.S.R. 1993. ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Manage Cybernet. 23(3): 665–685.
Kisi, O., Haktanir, T., Ardiclioglu, M., Ozturk, O., Yalcin, E. and Uludag, S. 2009. Adaptive neuro-fuzzy computing technique for suspended sediment estimation. Advances in Engineering Software. 40: 438-444.
Ghorbani, M.A., Haghi, D.Z., Azani, A., Bonakdari, H. and Ebtehaj, I. 2017. Application of grey algorithm-based support vector machines for prediction of  field capacity and permanent wilting point. Soil Tillage Res. 172: 32-38.
Zaji, A.H., Bonakdari, H. and Khodashenas, S.R. Firefly optimization algorithm effect on support vector regression prediction improvement of a modified labyrinth side weir's discharge coefficient. Applied Mathematics and Computation. 24: 14-19. 
Haghiabi, A.H., Parsaie, A. and Shamsi, Z. 2019. Intelligent Mathematical Modeling of Discharge Coefficient of Nonlinear Weirs. 3(2): 149–156
Iranian Journal of Irrigation & Drainage
Volume 14, Issue 5 - Serial Number 83
January and February 2021
Pages 1664-1676

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