Technical Papers
Mar 28, 2023

Influence of Piano Key Weir Crest Shapes on Flow Characteristics, Scale Effects, and Energy Dissipation for In-Channel Application

Publication: Journal of Hydraulic Engineering
Volume 149, Issue 6

Abstract

Due to their small footprint and efficient hydraulic performance, piano key weirs (PKWs) have been gaining growing attention in the past two decades. Besides the primary geometric parameters like magnification ratio and weir height, the crest shape is another crucial factor influencing the overall performance of this type of hydraulic structure. Beyond discharge aspects, the present study investigates how the flow characteristics, energy dissipation, and scale effects of a piano key weir are influenced by different crest configurations. Overall, results indicate that crest shape majorly affects the nappe trajectory and has significant influence on the hydraulic characteristics of a PKW. The downstream crest shape was observed to be the key element governing the outflow characteristic at low heads, whereas the crest shape in the upstream side was found to be more critical for upstream relative heads within the range of 0.4–0.6. With the resulting nappe behavior, half-round crest was found to provide the highest discharge capacity, while flat crest was the most efficient configuration in terms of energy dissipation. Furthermore, relative to rectangular crests, models with rounded crests were observed to have more significant scale effects at low heads and deviated downstream flow regimes. To facilitate the practical design of such structure, empirical equations were developed to predict the discharge coefficients and downstream residual energies.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request, such as discharge coefficients with corresponding values and energy dissipation data sets.

Acknowledgments

The authors wish to acknowledge Dr. Brian Crookston for sharing his data sets for reference and comparison.

References

Anderson, R. M. 2011. “Piano key weir head discharge relationships.” M.S. thesis, Dept. of Civil and Environmental Engineering, Utah State Univ.
Chanson, H., and J. S. Montes. 1995. “Characteristics of undular hydraulic jumps: Experimental apparatus and flow patterns.” J. Hydraul. Eng. 121 (2): 129–144. https://doi.org/10.1061/(ASCE)0733-9429(1995)121:2(129).
Cicero, G. 2016. “Influence of some geometrical parameters on Piano Key Weir discharge efficiency.” In Proc., Hydraulic Structures and Water System Management. 6th IAHR Int. Symp. on Hydraulic Structures, edited by B. Crookston and B. Tullis, 367–377. Logan, UT: Utah State Univ. https://doi.org/10.15142/T3320628160853.
Cicero, G. M., and J. R. Delisle. 2013. “Effects of the crest shape on the discharge efficiency of a type a piano key weir.” In Proc., Labyrinth and Piano Key Weirs II, 41–48. Boca Raton, FL: CRC Press.
Crookston, B. M., R. M. Anderson, and B. P. Tullis. 2018. “Free-flow discharge estimation method for piano key weir geometries.” J. Hydro-environ. Res. 19 (Mar): 160–167. https://doi.org/10.1016/j.jher.2017.10.003.
Crookston, B. M., and B. P. Tullis. 2013. “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.
Darvas, L. A. 1971. “Discussion of ‘Performance and design of labyrinth weir.’” J. Hydraul. Eng. 97 (8): 1246–1251. https://doi.org/10.1061/JYCEAJ.0003056.
Erpicum, S., B. M. Crookston, F. Bombardelli, D. B. Bung, S. Felder, S. Mulligan, M. Oertel, and M. Palermo. 2020. “Hydraulic structures engineering: An evolving science in a changing world.” WIREs Water 8 (2): 1–11. https://doi.org/10.1002/wat2.1505.
Erpicum, S., B. P. Tullis, M. Lodomez, P. Archambeau, B. J. Dewals, and M. Pirotton. 2016. “Scale effects in physical piano key weirs models.” J. Hydraul. Res. 54 (6): 692–698. https://doi.org/10.1080/00221686.2016.1211562.
Eslinger, K. R., and B. M. Crookston. 2020. “Energy dissipation of type a piano key weirs.” Water 12 (5). https://doi.org/10.3390/w1205125310.3390/w12051253.
Falvey, H. T. 2003. Hydraulic design of labyrinth weirs. Reston, VA: ASCE.
Johnson, M. 2000. “Discharge coeffcient analysis for flat-topped and sharp-crested weirs.” Irrig. Sci. 19 (3): 133–137. https://doi.org/10.1007/s002719900009.
Leite Ribeiro, M., J. L. Boillat, A. J. Schleiss, F. Laugier, and C. Albalat. 2007. “Rehabilitation of st-marc dam experimental optimization of a piano key weir.” In Proc., 32nd Congress of IAHR. Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Leite Ribeiro, M., M. Pfister, A. J. Schleiss, and J. L. Boillat. 2012. “Hydraulic design of a-type piano key weirs.” J. Hydraul. Res. 50 (4): 400–408. https://doi.org/10.1080/00221686.2012.695041.
Lux, F. 1984. “Discharge characteristics of labyrinth weirs.” In Proc., Conf. on Water for Resource Development. Reston, VA: ASCE.
Machiels, O. 2012. “Experimental study of the hydraulic behaviour of piano key weirs.” Ph.D. thesis, Dept. of ArGEnCo Urban and Environmental Engineering, Univ. of Liege.
Machiels, O., M. Pirotton, A. Pierre, B. Dewals, and S. Erpicum. 2014. “Experimental parametric study and design of piano key weirs.” J. Hydraul. Res. 52 (3): 326–335. https://doi.org/10.1080/00221686.2013.875070.
Oertel, M. 2019. “Size-scale effects of an a-type piano key weir.” Proc., 38th IAHR World Congress—Water: Connecting the World, 1930–1939. Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Oertel, M., and X. Shen. 2022. “3D printing technique for experimental modeling of hydraulic structures: Exemplary scaled weir models.” Water 14 (14): 2153. https://doi.org/10.3390/w14142153.
Pfister, M., E. Battisacco, G. De Cesare, and A. J. Schleiss. 2013. “Scale effects related to the rating curve of cylindrically crested piano key weirs.” In Proc., Labyrinth and Piano Key Weirs II, 73–82. Boca Raton, FL: CRC Press.
Pfister, M., and A. J. Schleiss. 2013. “Estimation of a-type piano key weir rating curve.” In Proc., Labyrinth and Piano Key Weirs II, 139–147. Boca Raton, FL: CRC Press.
Pralong, J., J. Vermeulen, B. Blancher, and F. Laugier. 2011. “A naming convention for the piano key weirs geometrical parameters.” In Proc., Labyrinth and Piano Key Weirs I, 271–278. Boca Raton, FL: CRC Press.
Schleiss, A. J. 2011. “From labyrinth to piano key weirs—A historical review.” In Proc., Int. Conf. on Labyrinth and Piano Key Weirs I, 9–11. Boca Raton, FL: CRC Press.
Shen, X., and M. Oertel. 2021. “Comparative study of nonsymmetrical trapezoidal and rectangular piano key weirs with varying key width ratios.” J. Hydraul. Eng. 147 (11): 04021045. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001942.
Tullis, B., M. Crookston, and D. Bung. 2019. “Weir head-discharge relationships: A multi-lab exercise.” In Proc., 38th IAHR World Congress, Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Tullis, B. P., B. M. Crookston, and N. Young. 2020. “Scale effects in free-flow nonlinear weir head-discharge relationships.” J. Hydraul. Eng. 146 (2): 04019056. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001661.
Tullis, J. 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).

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 149Issue 6June 2023

History

Received: Apr 25, 2022
Accepted: Feb 9, 2023
Published online: Mar 28, 2023
Published in print: Jun 1, 2023
Discussion open until: Aug 28, 2023

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Authors

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Ph.D. Candidate, Hydraulic Engineering Section, Civil Engineering, Helmut-Schmidt-University, Univ. of the Federal Armed Forces, Hamburg 22043, Germany (corresponding author). ORCID: https://orcid.org/0000-0002-2463-3262. Email: [email protected]
Full Professor, Hydraulic Engineering Section, Civil Engineering, Helmut-Schmidt-University, Univ. of the Federal Armed Forces, Hamburg 22043, Germany. ORCID: https://orcid.org/0000-0003-3787-5276

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Cited by

  • Discussion of “A Reformed Empirical Equation for the Discharge Coefficient of Free-Flowing Type-A Piano Key Weirs”, Journal of Irrigation and Drainage Engineering, 10.1061/JIDEDH.IRENG-10246, 150, 2, (2024).

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