Numerical Study of Energy Dissipation of Pooled Stepped Spillways

Khosro Morovati, Afshin Eghbalzadeh, Saba Soori

Abstract


Water transferring to the dam downstream creates high levels of kinetic energy. Stepped spillways are amongst the most effective spillways in reducing the kinetic energy of the flow moving towards the downstream. The geometry of the steps in stepped spillways can affect the reduction of kinetic energy of the flow transferring to the downstream. Therefore, in this study the effect of different number of steps and discharge on flow pattern especially energy dissipation were investigated. The VOF method was used to simulate the flow surface and the k-ε (RNG) turbulence model was used for flow turbulence simulation. Comparing the results obtained from the numerical simulation with the experimental data indicated an acceptable level of consistency. Comparing the obtained results showed that decreasing the number of the steps of pooled stepped spillways reduced flow velocity and increased the relative energy dissipation at the end of the spillway. Decreasing the number of steps increased the turbulent kinetic energy value. Also, the maximum turbulent kinetic energy was obtained near the step’s pool. Moreover the results indicated that the value of turbulent kinetic energy increased along the spillway.

 



Keywords


Three-Dimensional Simulation; Energy Dissipation; Flow Patterns; Turbulent Kinetic Energy.

References


Chanson, Hubert. "Hydraulic design of stepped spillways and downstream energy dissipators." Dam Engineering 11, no. 4 (2001): 205-242.

Sorensen, Robert M. "Stepped spillway hydraulic model investigation." Journal of Hydraulic Engineering 111, no. 12 (1985): 1461-1472.

Christodoulou, George C. "Energy dissipation on stepped spillways." Journal of Hydraulic Engineering 119, no. 5 (1993): 644-650.

Boes, Robert M., and Willi H. Hager. "Hydraulic design of stepped spillways." Journal of Hydraulic Engineering 129, no. 9 (2003): 671-679.

Kisi, Ozgur, M. Emin Emiroglu, and Ahmet Baylar. "Flow regime prediction in stepped channels using neural computing technique." International Journal of Science & Technology 3, no. 1 (2008): 109-121.

Chanson, Hubert. "Stepped spillway flows and air entrainment." Canadian journal of civil engineering 20, no. 3 (1993): 422-435.

Felder, Stefan, Christopher Fromm, and Hubert Chanson. Air entrainment and energy dissipation on a 8.9° slope stepped spillway with flat and pooled steps. No. CH86/12. School of Civil Engineering, 2012.

Felder, Stefan, Philipp Guenther, and Hubert Chanson. Air-water flow properties and energy dissipation on stepped spillways: a physical study of several pooled stepped configurations. No. CH87/12. School of Civil Engineering, The University of Queensland, 2012.

Pfister, Michael, and Willi H. Hager. "Self-entrainment of air on stepped spillways." International Journal of Multiphase Flow 37, no. 2 (2011): 99-107.

Felder, Stefan, and Hubert Chanson. "Energy dissipation, flow resistance and gas-liquid interfacial area in skimming flows on moderate-slope stepped spillways." Environmental fluid mechanics 9, no. 4 (2009): 427-441.

Felder, Stefan, and Hubert Chanson. "Aeration, flow instabilities, and residual energy on pooled stepped spillways of embankment dams." Journal of Irrigation and Drainage Engineering 139, no. 10 (2013): 880-887.

Gonzalez CA, “An experimental study of free-surface aeration on embankment stepped chutes”. Ph.D. thesis, Department of Civil Engineering, The University of Queensland, Brisbane, Australia, 240 pages, (2005).

Chinnarasri, Chaiyuth, and Somchai Wongwises. "Flow patterns and energy dissipation over various stepped chutes." Journal of irrigation and drainage engineering 132, no. 1 (2006): 70-76.

Felder, Stefan, and Hubert Chanson. "Energy dissipation down a stepped spillway with nonuniform step heights." Journal of Hydraulic Engineering 137, no. 11 (2011): 1543-1548.

Felder, S., and H. Chanson. "Air–water flow measurements in a flat slope pooled stepped waterway." Canadian journal of civil engineering 40, no. 4 (2013): 361-372.

Thorwarth J. “Hydraulisches Verhalten von Treppengerinnen mit eingetieften Stufen: selbstinduzierte Abflussinstationaritäten und Energiedissipation (Hydraulics of pooled stepped spillways—Self-induced unsteady flow and energy dissipation)”. ( Ph.D. thesis), University of Aachen, Germany (in German), (2008).

Kökpinar, Mehmet Ali. "Flow over a stepped chute with and without macro-roughness elements." Canadian Journal of Civil Engineering 31, no. 5 (2004): 880-891.

Felder, S., and H. Chanson. "Air entrainment and energy dissipation on porous pooled stepped spillways." In International Workshop on Hydraulic Design of Low-Head Structures (IWLHS 2013), pp. 87-97. Bundesanstalt fur Wasserbau (BAW), 2013.

Felder, Stefan, and Hubert Chanson. "Effects of step pool porosity upon flow aeration and energy dissipation on pooled stepped spillways." Journal of Hydraulic Engineering 140, no. 4 (2014): 04014002.

Guenther, Philipp, Stefan Felder, and Hubert Chanson. "Flow aeration, cavity processes and energy dissipation on flat and pooled stepped spillways for embankments." Environmental fluid mechanics 13, no. 5 (2013): 503-525.

Guenther, P., S. Felder, and H. Chanson. "Flat and pooled stepped spillways for overflow weirs and embankments: cavity flow processes, flow aeration and energy dissipation." In International Workshop on Hydraulic Design of Low-Head Structures (IWLHS 2013), pp. 77-86. Bundesanstalt fur Wasserbau (BAW), 2013.

Wüthrich, Davide, and Hubert Chanson. "Hydraulics, Air Entrainment, and Energy Dissipation on a Gabion Stepped Weir." Journal of Hydraulic Engineering 140, no. 9 (2014): 04014046.

Tabbara, Mazen, Jean Chatila, and Rita Awwad. "Computational simulation of flow over stepped spillways." Computers & structures 83, no. 27 (2005): 2215-2224.

Cheng, Xiangju, Yongcan Chen, and Lin Luo. "Numerical simulation of air-water two-phase flow over stepped spillways." Science in China Series E: Technological Sciences 49, no. 6 (2006): 674-684.

Dong, Zhi-yong. "Numerical simulation of skimming flow over mild stepped channel*." Journal of Hydrodynamics, Ser. B 18, no. 3 (2006): 367-371.

Carvalho, Rita Fernandes, and António Táboas Amador. "Physical and numerical investigation of the skimming flow over a stepped spillway." Advances in Water Resources and Hydraulic Engineering (2009): 1767-1772.

Qian, ZhongDong, XiaoQing Hu, WenXin Huai, and António Amador. "Numerical simulation and analysis of water flow over stepped spillways." Science in China Series E: Technological Sciences 52, no. 7 (2009): 1958-1965.

Baylar, Ahmet, Mehmet Unsal, and Fahri Ozkan. "The effect of flow patterns and energy dissipation over stepped chutes on aeration efficiency." KSCE Journal of Civil Engineering 15, no. 8 (2011): 1329-1334.

Zhenwei, M. U., Zhang Zhiyan, and Z. H. A. O. Tao. "Numerical simulation of 3-D flow field of spillway based on VOF method." Procedia Engineering 28 (2012): 808-812.

Nikseresht, A. H., N. Talebbeydokhti, and M. J. Rezaei. "Numerical simulation of two-phase flow on step-pool spillways." Scientia Iranica 20, no. 2 (2013): 222-230.

Attarian, Alireza, Khosrow Hosseini, Hassan Abdi, and Moein Hosseini. "The effect of the step height on energy dissipation in stepped spillways using numerical simulation." Arabian Journal for Science and Engineering 39, no. 4 (2014): 2587-2594.

Bombardelli, Fabián A., Inês Meireles, and Jorge Matos. "Laboratory measurements and multi-block numerical simulations of the mean flow and turbulence in the non-aerated skimming flow region of steep stepped spillways." Environmental Fluid Mechanics 11, no. 3 (2011): 263-288.

Pope SB (2000): Turbulent flows. Cambridge University Press, Cambridge.

Rodi W (1984): Turbulence models and their application in hydraulics. State-of-the-Art Paper, IAHR.

Cheng, Xiang-ju, Lin Luo, and Wen-qian Zhao. "Study of aeration in the water flow over stepped spillway." In Proceedings of the world water congress. 2004

Cheng, Xiangju, Lin Luo, Wenqian Zhao, and Ran Li. "Two-phase flow simulation of aeration on stepped spillway." Progress in Natural Science 14, no. 7 (2004): 626-630.


Full Text: PDF

DOI: 10.28991/cej-2016-00000027

Refbacks

  • There are currently no refbacks.




Copyright (c) 2016 Khosro Morovati, Afshin Eghbalzadeh, Saba Soori

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
x
Message