Technical Notes
Apr 28, 2020

Experimental Investigation of One-Cycle Triangular Labyrinth Weirs with an Upstream Pool

Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 7

Abstract

The hydraulic performance of triangular labyrinth weirs with an upstream pool was experimentally studied in both free and submerged flow conditions. The discharge coefficients based on channel width B and the weir length L were calculated from experimental data. It was found that the additional length provided by the pool can significantly increase the capacity of the new weir design. The tested weir models were found efficient and required less concrete in comparison with classical labyrinth weirs for a relatively low head water to weir height ratio of ho/P=0.17. Empirical formulations were developed to predict the discharge coefficient and the critical depth of flow for labyrinth weirs with an upstream pool. The discharge reduction factor ψ of the new weir design was found to be slightly lower than the ψ value of sharp-crested weirs. Performance of the tested weir models in submerged flow condition was directly compared with the sharp-crested weirs. It was found that the submerged flow discharges of the tested weir models were significantly higher than the corresponding submerged flow discharge in sharp-crested weirs. A power law model was proposed to predict the submerged flow discharge from a given water head. The superior performance of labyrinth weirs with an upstream pool over classical labyrinth and sharp-crested weirs in both free and submerged flow conditions make them a suitable choice as a flow measuring device, depth regulator, and flood control structure.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request such as head-discharge and ADV measurements.

Acknowledgments

The experimental study presented here was partially supported by the NSERC-Discovery Grant No. 421785. The author is thankful to his undergraduate students (Abel Raath, HabenRussom, and Dumitru Liubeznii) for their help with conducting the laboratory measurements.

References

Ackers, P., W. R. White, J. A. Perkins, and A. J. Harrison. 1978. Weirsand flumes for flow measurements. Chichester, UK: Wiley.
Azimi, A. H. 2013. “Discussion of ‘Experimental Studies on Flow over Labyrinth Weir’ by B. V. Khode, A. R. Tembhurkar, P. D. Porey, and R. N. Ingle.” J. Irrig. Drain. Eng. 139 (12): 1053–1055. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000585.
Azimi, A. H., and N. Rajaratnam. 2009. “Discharge characteristics of weirs of finite crest length.” J. Hydraul. Eng. 135 (12): 1081–1085. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000117.
Azimi, A. H., N. Rajaratnam, and D. Z. Zhu. 2014. “Submerged flowsover rectangular weirs of finite crest length.” J. Irrig. Drain. Eng. 140 (5): 06014001. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000728.
Azimi, A. H., N. Rajaratnam, and D. Z. Zhu. 2016. “Water surface characteristics of submerged rectangular sharp-crested weirs.” J. Hydraul. Eng. 142 (5): 06016001. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001110.
Azimi, A. H., and S. Seyed Hakim. 2019. “Hydraulics of flow over rectangular labyrinth weirs.” Irrig. Sci. 37 (2): 183–193. https://doi.org/10.1007/s00271-018-0616-6.
Bijankhan, M., and S. Kouchakzadeh. 2017. “Unified discharge coefficient formula for free and submerged triangular labyrinth weirs.” Flow Meas. Instrum. 57 (Oct): 46–56. https://doi.org/10.1016/j.flowmeasinst.2017.08.007.
Borghei, S. M., A. R. Kabiri-Samani, and N. Nekoee. 2006. “Oblique weir equation using incomplete self-similarity.” Can. J. Civil Eng. 33 (10): 1241–1250. https://doi.org/10.1139/l06-071.
Borghei, S. M., Z. Vattania, M. Ghodsian, and M. R. Jalili. 2003. “Oblique rectangular sharp crested weir.” ICE J. Water Marit. Eng. 156 (2): 185–191. https://doi.org/10.1680/wame.2003.156.2.185.
Carollo, F. G., V. Ferro, and V. Pampalone. 2012. “Experimental investigation of the outflow process over a triangular labyrinth weir.” J. Irrig. Drain. Eng. 138 (1): 73–79. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000366.
Crookston, B. M., G. S. Paxson, and B. M. Savage. 2012. “Hydraulic performance of labyrinth weirs for high head water ratios.” In Proc., 4th IAHR Int. Symp. on Hydraulic Structures, 1–8. Panama: International Association for Hydro-Environment Engineering and Research.
Crookston, B. M., and B. P. Tullis. 2012a. “Arced labyrinth weirs.” J. Hydraul. Eng. 138 (6): 555–562. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000553.
Crookston, B. M., and B. P. Tullis. 2012b. “Discharge efficiency of reservoir application specific labyrinth weirs.” J. Hydraul. Eng. 138 (6): 555–562. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000553.
Crookston, B. M., and B. P. Tullis. 2013a. “Hydraulic design and analysis of labyrinth weirs. I: Discharge relationships.” J. Irrig. Drain. Eng. 139 (5): 363–370. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000558.
Crookston, B. M., and B. P. Tullis. 2013b. “Hydraulic design and analysis of labyrinth weirs. II: Nappe aeration, instability, and vibration.” J. Irrig. Drain. Eng. 139 (5): 371–377. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000553.
Dabling, M. R., and B. M. Crookston. 2012. “Staged and notched labyrinth weir hydraulics.” In Proc., 4th Int. Junior Researcher and Engineer Workshop on Hydraulic Structures, IJREWHS’12, 28–35. Denver: International Junior Researcher and Engineer Workshop on Hydraulic Structures.
Di Stefano, C., and V. Ferro. 2013. “A new approach for deducing the stage-discharge relationship of triangular in plan sharp-crested weirs.” Flow Meas. Instrum. 32 (Aug): 71–75. https://doi.org/10.1016/j.flowmeasinst.2013.04.004.
Dizabadi, S., and A. H. Azimi. 2020. “Hydraulic and turbulence structure of triangular labyrinth weir-pool fishways.” River Res. Appl. 36 (2): 280–295. https://doi.org/10.1002/rra.3581.
Dizabadi, S., S. Seyed Hakim, and A. H. Azimi. 2020. “Discharge characteristics and structure of flow in labyrinth weirs with a downstream pool.” Flow Meas. Instrum. 71 (Mar): 101683. https://doi.org/10.1016/j.flowmeasinst.2019.101683.
Falvey, H. T. 2003. Hydraulic design of labyrinth weirs. Reston, VA: ASCE.
Ferro, V. 2012. “New theoretical solution of the stage-discharge relationship for sharp-crested and broad weirs.” J. Irrig. Drain. Eng. 138 (3): 257–265. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000397.
Ghodsian, M. 2009. “Stage-discharge relationship for a triangular labyrinth spillway.” Proc. Inst. Civ. Eng. Water Manage. 162 (3): 173–178. https://doi.org/10.1680/wama.2009.00033.
Hay, N., and G. Taylor. 1970. “Performance and design of labyrinth weirs.” J. Hydraul. Div. 96 (11): 2337–2357.
Kabiri-Samani, A. R., A. Ansari, and S. M. Borghei. 2010. “Hydraulic behaviour of flow over an oblique weir.” J. Hydraul. Res. 48 (5): 669–673. https://doi.org/10.1080/00221686.2010.507358.
Karami, H., S. Karimi, H. Bonakdari, and S. Shamshirband. 2018. “Predicting discharge coefficient of triangular labyrinth weir using extreme learning machine, artificial neural network and genetic programming.” Neural Comput. Appl. 29 (11): 983–989. https://doi.org/10.1007/s00521-016-2588-x.
Khode, B. V., A. R. Tembhurkar, P. D. Porey, and R. N. Ingle. 2011. “Determination of crest coefficient for flow over trapezoidal labyrinth weir.” World Appl. Sci. J. 12 (3): 324–329.
Kumar, S., Z. Ahmad, and T. Mansoor. 2011. “A new approach to improve the discharging capacity of sharp-crested triangular plan form weirs.” Flow Meas. Instrum. 22 (3): 175–180. https://doi.org/10.1016/j.flowmeasinst.2011.01.006.
Salehi, S., and A. H. Azimi. 2019. “Discharge characteristics of weir-orifice and weir-gate structures.” J. Irrig. Drain. Eng. 145 (11): 04019025. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001421.
Salehi, S., K. Esmaili, and A. H. Azimi. 2019. “Mean velocity and turbulent characteristics of flow over half-cycle cosine sharp-crested weirs.” Flow Meas. Instrum. 66 (Apr): 99–110. https://doi.org/10.1016/j.flowmeasinst.2019.02.002.
Seyed Hakim, S. 2017. “Hydraulic behaviour of sharp-crested rectangular and triangular labyrinth weirs with downstream pool.” M.Sc. thesis, Dept. of Civil Engineering, Lakehead Univ.
Seyed Hakim, S., and A. H. Azimi. 2017. “Submerged flows over triangular weirs and of finite crest length with upstream and downstream ramps.” J. Irrig. Drain. Eng. 143 (8): 06017008. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001207.
Tullis, B., J. Young, and M. Chandler. 2007. “Head-discharge relationships for submerged labyrinth weirs.” J. Hydraul. Eng. 133 (3): 248–254. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:3(248).
Tullis, S. P., N. Amanian, and D. Waldron. 1995. “Design of labyrinth spillway.” J. Hydraul. Eng. 121 (3): 247–255. https://doi.org/10.1061/(ASCE)0733-9429(1995)121:3(247).
Villemonte, J. R. 1947. “Submerged weir discharge studies.” Eng. News-Rec. 139 (26): 54–56.
Wu, S., and N. Rajaratnam. 1996. “Submerged flow regimes of rectangularsharp-crested weirs.” J. Hydraul. Eng. 122 (7): 412–414. https://doi.org/10.1061/(ASCE)0733-9429(1996)122:7(412).
Zaji, A. H., and H. Bonakdari. 2014. “Performance evaluation of two different neural network and particle swarm optimization methods for prediction of discharge capacity of modified triangular side weirs.” Flow Meas. Instrum. 40 (Dec): 149–156. https://doi.org/10.1016/j.flowmeasinst.2014.10.002.
Zaji, A. H., H. Bonakdari, and S. Karimi. 2015. “Radial basis neural network and particle swarm optimization-based equations for predicting the discharge capacity of triangular labyrinth weirs.” Flow Meas. Instrum. 45 (Oct): 341–347. https://doi.org/10.1016/j.flowmeasinst.2015.08.002.
Zaji, A. H., H. Bonakdari, S. R. Khodashenas, and S. Shamshirband. 2016. “Firefly optimization algorithm effect on support vector regression prediction improvement of a modified labyrinth side weir’s discharge coefficient.” Appl. Math. Comput. 274 (Feb): 14–19. https://doi.org/10.1016/j.amc.2015.10.070.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 146Issue 7July 2020

History

Received: Oct 28, 2019
Accepted: Feb 11, 2020
Published online: Apr 28, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 28, 2020

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Authors

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Associate Professor, Dept. of Civil Engineering, Lakehead Univ., Thunder Bay, ON, Canada P7B 5E1 (corresponding author). ORCID: https://orcid.org/0000-0003-0166-8830. Email: [email protected]
Assistant Professor, Dept. of Soils and Agri-Food Engineering, Laval Univ., Québec, QC, Canada G1V0A6. ORCID: https://orcid.org/0000-0001-6169-3654. Email: [email protected]

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