Enhancing Hydraulic Performance and Discharge Efficiency of a Type-C Piano Key Weir Through Stage Incorporation
DOI:
https://doi.org/10.31272/jeasd.28.5.8Keywords:
Control structures, Dimensional analysis, Discharge coefficient, Piano key weir, Type-CAbstract
Weirs are hydraulic constructions typically employed in dam spillways and channel control structures. The shape and size of the crest will determine whether the weir is linear or non-linear. Of the two types, non-linear weirs are often selected due to their ability to allow different discharge levels at the minimal heads. A recently introduced variation of the non-linear kind is the piano key weir. This research undertakes a comprehensive analysis of the hydraulic functionality of the type-C piano key weir under conditions of free flow. The research methodology involved modifying the models by adding stages to the sides and monitoring the effect on the efficacy of discharge, represented by the discharge coefficient. The study further extrapolated formulae linking critical variables to the discharge coefficient, using dimensional analysis and SPSS software. The findings of this study revealed that the introduction of stages significantly bolstered the discharge coefficient in the altered models compared to the standard model. This enhancement was reflected in a 6% and 11% ascent with length expansion of the stages and a 6% and 8% rise with height increase of the stages. Additionally, the model's performance was augmented with a drop in the total head ratio
References
A. Q. Rdhaiwi, A. Khoshfetrat, and A. Fathi, “Experimental Comparison of Flow Energy Loss in Type-B And -C Trapezoidal Piano Key Weirs (PKWS),” Journal of Engineering and Sustainable Development, vol. 28, no. 1, pp. 55–63, Jan. 2024, https://doi.org/10.31272/jeasd.28.1.4.
A. Al-Tameemi and H. Al-Thamiry, “The Extreme Flood Capacity of Al-Majjarah Canal and Regulator Within Al-Ramadi Project System,” Al-Nahrain Journal for Engineering Sciences, vol. 26, no. 3, pp. 235–243, Oct. 2023, https://doi.org/10.29194/njes.26030235.
F. Lempérière and A. Ouamane, “The Piano Keys weir: a new cost-effective solution for spillways,” International Journal on Hydropower & Dams, vol. 10, no. 5, pp. 144–149, 2003, Accessed: 2023. [Online]. Available: https://edisciplinas.usp.br/pluginfile.php/7678719/mod_resource/content/0/The%20Piano%20Keys%20weir.pdf
A. Ouamane and F Lempérière, “Design of a new economic shape of weir,” CRC Press eBooks, vol. 18, pp. 463–470, May 2006, https://doi.org/10.1201/b16818-74.
F. Lemperiere and J. Guo, “Low cost increase of dams storage and flood mitigation: the piano keys weir.,” presented at the 19th International Congress on Irrigation and Drainage, Beijing, China, 2005., International Commission on Irrigation and Drainage (ICID). Accessed: 2023. [Online]. Available: https://www.cabidigitallibrary.org/doi/full/10.5555/20063174108
J. Pralong et al., “A naming convention for the Piano Key Weirs geometrical parameters,” CRC Press eBooks, pp. 271–278, May 2011, https://doi.org/10.1201/b12349-40.
J Pralong, F Montarros, B. Blancher, and F Laugier, “A Sensitivity Analysis of Piano KeyWeirs Geometrical Parameters Based on3D Numerical Modeling,” CRC Press eBooks, pp. 133–139, May 2011, https://doi.org/10.1201/b12349-21.
G. Paxson, B. Tullis, and D. Hertel, “Comparison of Piano Key Weirs with labyrinth and gated spillways,” CRC Press eBooks, pp. 123–130, Oct. 2013, https://doi.org/10.1201/b15985-18.
M. F.Ribeiro, J.-L. Boillat, and A. Schleiss, “Experimental Parametric Study for Hydraulic Design of PKWs,” CRC Press eBooks, pp. 183–190, May 2011, https://doi.org/10.1201/b12349-28.
A. Kabiri-Samani and A. Javaheri, “Discharge Coefficients for Free and Submerged Flow over Piano Key Weirs,” Journal of Hydraulic Research, vol. 50, no. 1, pp. 114–120, Jan. 2012, https://doi.org/10.1080/00221686.2011.647888.
G. Cicero and J. Delisle, “Effects of the Crest Shape on the Discharge Efficiency of a Type a Piano Key Weir,” CRC Press eBooks, pp. 41–48, Oct. 2013, https://doi.org/10.1201/b15985-7.
M. L. Ribeiro, M. Pfister, A. J. Schleiss, and J.-L. Boillat, “Hydraulic Design of A-type Piano Key Weirs,” Journal of Hydraulic Research, vol. 50, no. 4, pp. 400–408, Jul. 2012, doi: https://doi.org/10.1080/00221686.2012.695041.
A. Q. Rdhaiwi, A. Khoshfetrat, and A. Fathi, “Experimental Investigation of Scour Downstream of a C-Type Trapezoidal Piano Key Weir with Stilling Basin,” Journal of Engineering and Sustainable Development, vol. 27, no. 6, pp. 688–697, Nov. 2023, https://doi.org/10.31272/jeasd.27.6.2.
R. K. Bhukya, M. Pandey, M. Valyrakis, and P. Michalis, “Discharge Estimation over Piano Key Weirs: a Review of Recent Developments,” Water, vol. 14, no. 19, p. 3029, Jan. 2022, https://doi.org/10.3390/w14193029.
S. K. Mero, D. A. J. Haleem, and A. A. Yousif, “The Influence of Inlet to Outlet Width Ratio on the Hydraulic Performance of Piano Key Weir (PKW-type A),” Water Practice and Technology, vol. 17, no. 6, pp. 1273–1283, May 2022, https://doi.org/10.2166/wpt.2022.055.
Z. Li, J. Xu, Y. Li, and C. Han, “Analysis of Piano Key Weir Drainage Characteristics,” Lecture notes in civil engineering, vol. 264, pp. 281–293, Jan. 2023, https://doi.org/10.1007/978-981-19-6138-0_25.
A. Raheem and T. Aurahman, “Hydraulic Performance of Piano Key Weir,” Proceedings of the 1st International Multi-Disciplinary Conference Theme: Sustainable Development and Smart Planning, Cyperspace, pp. 28–30, Jan. 2020, https://doi.org/10.4108/eai.28-6-2020.2297967.
S. Kadia, E. Pummer, B. Kumar, Nils Rüther, and Z. Ahmad, “A Reformed Empirical Equation for the Discharge Coefficient of Free-Flowing Type-A Piano Key Weirs,” Journal of Irrigation and Drainage Engineering, vol. 149, no. 4, Apr. 2023, https://doi.org/10.1061/jidedh.ireng-9886.
V. Rezaei, S. H. Musavi-Jahromi, A. Khosrowjerdi, and B. Beheshti, “Experimental and Simulation Studies on Water Discharge Coefficients of Rectangular Piano Key Weirs,” International Journal of Technology, vol. 13, no. 4, pp. 695–695, Oct. 2022, https://doi.org/10.14716/ijtech.v13i4.5377.
A.E. Bekheet, N. M. AboulAtta, N. Y. Saad, and D. A. El-Molla, “Effect of the Shape and Type of Piano Key Weirs on the Flow Efficiency,” Ain Shams Engineering Journal, vol. 13, no. 3, pp. 101620–101620, May 2022, https://doi.org/10.1016/j.asej.2021.10.015.
A. Javaheri, A. Parvaneh, and A. Kabiri-Samani, “Experimental Parametric Study and Design of Piano Key Weirs by O. MACHIELS, M. PIROTTON, A. PIERRE, B. DEWALS and S. ERPICUM, J. Hydraulic Res. 52(3), 2014, 326–335,” Journal of Hydraulic Research, vol. 53, no. 4, pp. 543–545, Jul. 2015, https://doi.org/10.1080/00221686.2015.1054323.
S. Erpicum, P. Archambeau, M. Pirotton, and B. Dewals, “Geometric Parameters Influence on Piano Key Weir Hydraulic Performances,” Open Repository and Bibliography (University of Liège), Jan. 2014, https://doi.org/10.14264/uql.2014.31.
M. Ho, “History and Development of Piano Key Weirs in Vietnam from 2004 to 2016,” CRC Press eBooks, pp. 3–16, Mar. 2017, https://doi.org/10.1201/9781315169064-3.
A.-H. Al-Shukur and G. Al-Khafaji, “Experimental Study of the Hydraulic Performance of Piano Key Weir,” INTERNATIONAL JOURNAL OF ENERGY AND ENVIRONMENT, vol. 9, no. 1, pp. 2076–2909, 2018, Accessed: Aug. 14, 2024. [Online]. Available: https://www.ijee.ieefoundation.org/vol9/issue1/IJEE_06_v9n1.pdf
G. Cicero, J. Delisle, V. Lefebvre, and J. Vermeulen, “Experimental and Numerical Study of the Hydraulic Performance of a Trapezoidal Piano Key Weir,” CRC Press eBooks, pp. 265–272, Oct. 2013, https://doi.org/10.1201/b15985-36.
O. Machiels, M. Pirotton, A. Pierre, B. Dewals, and S. Erpicum, “Experimental Parametric Study and Design of Piano Key Weirs,” Journal of Hydraulic Research, vol. 52, no. 3, pp. 326–335, Mar. 2014, https://doi.org/10.1080/00221686.2013.875070.
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Copyright (c) 2024 Taghreed A. Musa, Najm O.S. Alghazali (Author)
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