Optimum Design and Construction of Hydraulic Sections of Parabolic Water Transmitting Channels using the Harris Hawks Optimization Algorithm

الموضوعات :

Mehrzad torkzadeh ¹ (Department of civil Engineering Shahrekord University, Iran)
Hamed Reza Zarif Sanayei ² (Department of civil Engineering Shahrekord University, Iran)
reza kamgar ³ (Department of civil Engineering Shahrekord University, Iran)

تاريخ الإرسال : 18 الثلاثاء , محرم, 1444 تاريخ التأكيد : 01 الثلاثاء , شعبان, 1444 تاريخ الإصدار : 16 الجمعة , صفر, 1445

الکلمات المفتاحية: Harris Hawks, parabolic channel, Optimization, Meta-heuristic Algorithm,

ملخص المقالة :

Channels have various types of cross-sectional shapes, including trapezoidal, rectangular, semi-circular, parabolic, chain-curved, semi-cubic parabolic, egg-shaped, and circular as the most common shapes. A channel designer has many design options in different conditions, including hydraulic, economic, and hydrological conditions, leakage, etc. Among the above-mentioned sections, the first two have a horizontal bottom while the other sections are curve-shaped with bottom curvature. The primary goal in the design of hydraulic channels is to achieve the maximum flow capacity considering the minimum channel construction cost. A variety of studies has been conducted on the different types of hydraulic channels so far, each dealing with the subject from a certain perspective. However, most of the studies have focused on circular, rectangular and trapezoidal channels. This study has focused on the parabolic channel. Genetic algorithm (GA) and particle swarm optimization (PSO) or GRG algorithms and their combination are usually used for optimization. However, this research adopts a novel and updated meta-heuristic algorithm, namely the Harris Hawks Optimization (HHO) algorithm, to optimize the parabolic channel with a fixed roughness coefficient and determine the optimal dimensions of the channel with different flow rates. This channel uses different flow rates, namely 50, 100, 150, 200, 250, and 300 m3/s to solve the optimization problem. Finally, it was found that the lowest construction cost and the highest efficiency for water supply is achieved with a roughness coefficient of 0.015 and a flow rate of 100 m3/s.

المصادر:

• Calvert, J. B., Open-Channel Flow, University of Denver, 2007.


• Mustafa, A. M., The Design of A Program for Open Channel Optimization, Gdansk University of Technology, 2012.


• Han, Y. C., Easa, S. M., Superior Cubic Channel Section and Analytical Solution of Best Hydraulic Properties, Flow Measurement and Instrumentation, Vol. 50, 2016, pp. 169-177.


• Loganathan, G., Optimal Design of Parabolic Canals, Journal of Irrigation and Drainage Engineering, Vol. 117, No. 5, 1991, pp. 716-735.


• Anwar, A. A., De Vries, T. T., Hydraulically Efficient Power-Law Channels, Journal of Irrigation and Drainage Engineering, Vol. 129, No. 1, 2003, pp. 18-26.


• Vatankhah, A. R., Valiani, A., Analytical Inversion of Specific Energy–Depth Relationship in Channels with Parabolic Cross-Sections, Hydrological Sciences Journal, Vol. 56, No. 5, 2011, pp. 834-840.


• Han, Y. C., Easa, S. M., Exact Solution of Optimum Hydraulic Power-Law Section with General Exponent Parameter, Irrig. Drain. Eng, Vol. 44, No., 2018, pp. 04018035.


• Chen, B. R., Wang, Y., Zhao, Y. F., and Wang, Z. Z., Optimal Design of Hydraulic and Practical Cross-Section of Parabolic Canals, Journal of Irrigation and Drainage Engineering, Vol. 37, 2018, pp. 93–101.


• Yu, X. M., Shi, Z. T., and Feng, C. Q., Evaluation System of Technical Water Supply Assembly Sequence in Turbine Maintenance Based on Analytic Hierarchy Process, International Journal of Hydrogen Energy, Vol. 36, 2018, pp. 97-100.


• Song, Q., Establishment of Mechanics and Numerical Stimulation of Frost Heaving Damage of Parabolic-Shape Canal with Concrete Lining, Northwest A & F University Shanxi, China, 2015.


• Niazkar, M., Optimum Design of Straight Circular Channels Incorporating Constant and Variable Roughness Scenarios: Assessment of Machine Learning Models, Mathematical Problems in Engineering, Vol. 2021, 2021, ID 9984934.


• Yonesi, H. A., Hosseininan, E., and Torabi Podeh, H., Investigation of Optimal Hydraulic Cross Section in Two-Section Parabolic Channels, Irrigation and Water Engineering, Vol. 11, No. 3, 2021, pp. 20-34.


• Swamee, P. K., Mishra, G. C., and Chahar, B. R., Minimum Cost Design of Lined Canal Sections, Water Resources Management, Vol. 14, No. 1, 2000, pp. 1-12.


• Niazkar, M., Afzali, S. H., Optimum Design of Lined Channel Sections, Water Resources Management, Vol. 29, No. 6, 2015, pp. 1921-1932.


• Aksoy, B., Altan-Sakarya, A. B., Optimal Lined Channel Design, Canadian Journal of Civil Engineering, Vol. 33, No. 5, 2006, pp. 535-545.


• Heidari, A. A., Harris Hawks Optimization: Algorithm and Applications, Future generation computer systems, Vol. 97, 2019, pp. 849-872.