Technical Notes
Jan 20, 2020

Residual Energy on Ski-Jump-Step and Stepped Spillways with Various Step Configurations

Publication: Journal of Hydraulic Engineering
Volume 146, Issue 4

Abstract

To better understand the effects of optimized step configurations and preaeration structure of a ski-jump-step spillway on the residual energy of skimming flows, skimming flow experiments were conducted on both ski-jump-step and stepped spillway models. Horizontal, inclined, and pooled steps were tested on each. The results show a significant reduction in residual energy of the ski-jump-step spillway compared to that of the stepped spillway. Use of the inclined and pooled steps on the ski-jump-step spillway aids in further reducing the residual energy, particularly under large unit discharges. The authors introduce a new geometrical parameter of steps, the area of cavity, and find that it is negatively correlated with the residual energy. A unifying correlation showing the relationship among residual energy, unit discharge, slope of step, and area of cavity is established for evaluating the residual energy of skimming flows on ski-jump-step and stepped spillways with various step configurations.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The authors acknowledge the financial support of the National Natural Science Foundation of China (Grant No. 51479057), the Fundamental Research Funds for Central Universities (Grant No. 2019B18414), and the China Postdoctoral Science Foundation (Grant No. 2018M632218).

References

Bai, Z., Y. Peng, and J. Zhang. 2017. “Three-dimensional turbulence simulation of flow in a V-shaped stepped spillway.” J. Hydraul. Eng. 143 (9): 06017011. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001328.
Boes, R. M., and W. H. Hager. 2003. “Hydraulic design of stepped spillways.” J. Hydraul. Eng. 129 (9): 671–679. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:9(671).
Chanson, H. 2001. The hydraulics of stepped chutes and spillways. Lisse, Netherlands: A.A. Balkema.
Chanson, H. 2006. “Hydraulics of skimming flows on stepped chutes: The effects of inflow conditions?” J. Hydraul. Res. 44 (1): 51–60. https://doi.org/10.1080/00221686.2006.9521660.
Chanson, H. 2010. “Hydraulics of skimming flows over stepped channels and spillways.” J. Hydraul. Res. 32 (3): 445–460. https://doi.org/10.1080/00221689409498745.
Chanson, H. 2016. Energy dissipation in hydraulic structures. Boca Raton, FL: CRC Press.
Chinnarasri, C., and S. Wongwises. 2004. “Flow regimes and energy loss on chutes with upward inclined steps.” Can. J. Civ. Eng. 31 (5): 870–879. https://doi.org/10.1139/l04-052.
Chinnarasri, C., and S. Wongwises. 2006. “Flow patterns and energy dissipation over various stepped chutes.” J. Irrig. Drain. Eng. 132 (1): 70–76. https://doi.org/10.1061/(ASCE)0733-9437(2006)132:1(70).
Christodoulou, G. C. 1993. “Energy dissipation on stepped spillways.” J. Hydraul. Eng. 119 (5): 644–650. https://doi.org/10.1061/(ASCE)0733-9429(1993)119:5(644).
Felder, S., and H. Chanson. 2013. “Aeration, flow instabilities, and residual energy on pooled stepped spillways of embankment dams.” J. Irrig. Drain. Eng. 139 (10): 880–887. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000627.
Gou, W. J., H. P. Li, Y. Y. Du, H. X. Yin, F. Liu, and J. J. Lian. 2018. “Effect of sediment concentration on hydraulic characteristics of energy dissipation in a falling turbulent jet.” Appl. Sci.-Basel 8 (9): 1672. https://doi.org/10.3390/app8091672.
Hennig, T., W. Wang, Y. Feng, X. Ou, and D. He. 2013. “Comparing small and large hydropower projects regarding their environmental implications and socio-economic consequences.” Renew. Sustainable Energy Rev. 27: 585–595. https://doi.org/10.1016/j.rser.2013.07.023.
Ohtsu, I., Y. Yasuda, and M. Takahashi. 2004. “Flow characteristics of skimming flows in stepped channels.” J. Hydraul. Eng. 60 (9): 860–869. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:9(860).
Pfister, M., and W. H. Hager. 2011. “Self-entrainment of air on stepped spillways.” Int. J. Multiphas. Flow 37 (2): 99–107. https://doi.org/10.1016/j.ijmultiphaseflow.2010.10.007.
Qian, S., J. Wu, and F. Ma. 2016. “Hydraulic performance of ski-jump-step energy dissipater.” J. Hydraul. Eng. 142 (10): 05016004. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001178.
Salmasi, F., and M. Özger. 2014. “Neuro-fuzzy approach for estimating energy dissipation in skimming flow over stepped spillways.” Arab. J. Sci. Eng. 39 (8): 6099–6108. https://doi.org/10.1007/s13369-014-1240-2.
Sorensen, R. M. 1985. “Stepped spillway hydraulic model investigation.” J. Hydraul. Eng. 6 (4): 1461–1472. https://doi.org/10.1061/(ASCE)0733-9429(1985)111:12(1461).
Takahashi, M., and I. Ohtsu. 2012. “Aerated flow characteristics of skimming flow over stepped chutes.” J. Hydraul. Res. 50 (4): 427–434. https://doi.org/10.1080/00221686.2012.702859.
Wu, J., S. Qian, and F. Ma. 2016. “A new design of ski-jump-step spillway.” J. Hydrodyn. 28 (5): 914–917. https://doi.org/10.1016/S1001-6058(16)60692-3.
Wu, J., Y. Zhou, and F. Ma. 2018. “Air entrainment of hydraulic jump aeration basin.” J. Hydrodyn. 30 (5): 962–965. https://doi.org/10.1007/s42241-018-0088-4.
Zamora, A. S., M. Pfister, W. H. Hager, and H. E. Minor. 2008. “Hydraulic performance of step aerator.” J. Hydraul. Eng. 134 (2): 127–134. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:2(127).

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 146Issue 4April 2020

History

Received: Mar 28, 2019
Accepted: Aug 23, 2019
Published online: Jan 20, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 20, 2020

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Authors

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Professor, College of Water Conservancy and Hydropower Engineering, Hohai Univ., Nanjing 210098, China (corresponding author). Email: [email protected]
Shangtuo Qian [email protected]
Associate Professor, College of Agricultural Engineering, Hohai Univ., Nanjing 210098, China. Email: [email protected]
Postdoctoral Researcher, State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China. Email: [email protected]
Lecturer, School of Water Resources and Environmental Engineering, Zhejiang Univ. of Water Resources and Electric Power, Hangzhou 310018, China. Email: [email protected]

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