Effect of 30-Degree Sloping Smooth and Stepped Chute Approach Flow on the Performance of a Classical Stilling Basin
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 2
Abstract
Advances in dam construction techniques have significantly increased the number of stepped spillways implemented worldwide. Although stepped chutes provide enhanced energy dissipation along the chute, as compared to smooth chutes, an adequate energy dissipater is usually needed at their toe to govern the remaining energy. Stilling basins downstream of stepped spillways are currently designed using the approaches developed for smooth chutes. As a stepped surface alters the structure of the approaching flow, such practice is questionable. This paper reports a study on the effect of stepped chute approach flows on the performance of a classical stilling basin. Physical modeling was conducted using a large-scale facility of a smooth and stepped spillway with a 30° sloping chute. Experiments were performed under different discharges, two step heights, and variable approach flow aeration. The characteristics of the hydraulic jump were described, focusing mainly on flow depth, bottom pressure, and length. The results indicated a significant effect of stepped chute approach flows on bottom pressure and length of the hydraulic jump. Near the jump toe, pronounced fluctuating and extreme pressures were observed after stepped chutes and attributed to the higher turbulence level of the incoming flow. The normalized hydraulic jump lengths were found to be about 17% longer downstream of stepped chutes as compared to smooth chutes.
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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.
Acknowledgments
This research was conducted in the frame of the H2Doc program, a joint doctoral initiative of IST and EPFL. This project is supported by “Fundação para a Ciência e a Tecnologia” (FCT) from Portugal (Grant No. PD/BD/113621/2015), Laboratory of Hydraulic Constructions (LCH) of EPFL, Switzerland and Swiss Committee on Dams. The authors thank Mr. Cédric Bron, lead technician at LCH, for his support during the model setup and operation.
References
Abdul Khader, M. H., and K. Elango. 1974. “Turbulent pressure field beneath a hydraulic jump.” J. Hydraul. Res. 12 (4): 469–489. https://doi.org/10.1080/00221687409499725.
Akbari, M. E., M. K. Mittal, and P. K. Pande. 1982. “Pressure fluctuations on the floor of free and forced hydraulic jumps.” In Proc., Int. Conf. on the Hydraulic Modelling of Civil Engineering Structure, edited by H. S. Stephenson and C. A. Stapleton, 87–96. Coventry, UK: British Hydromechanics Research Association.
Amador, A., M. Sánchez-Juny, and J. Dolz. 2006. “Characterization of the nonaerated flow region in a stepped spillway by PIV.” J. Fluids Eng. 128 (6): 1266–1273. https://doi.org/10.1115/1.2354529.
Amador, A., M. Sánchez-Juny, and J. Dolz. 2009. “Developing flow region and pressure fluctuations on steeply sloping stepped spillways.” J. Hydraul. Eng. 135 (12): 1092–1100. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000118.
Barjastehmaleki, S., V. Fiorotto, and E. Caroni. 2016a. “Design of stilling basin linings with sealed and unsealed joints.” J. Hydraul. Eng. 142 (12): 04016064. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001218.
Barjastehmaleki, S., V. Fiorotto, and E. Caroni. 2016b. “Spillway stilling basins lining design via Taylor hypothesis.” J. Hydraul. Eng. 142 (6): 04016010. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001133.
Baumann, A., F. Arefi, and A. J. Schleiss. 2006. “Design of two stepped spillways for a pumped storage scheme in Iran.” In Proc., Int. Conf. Hydro 2006—Maximising the Benefits of Hydropower. Wallington, UK: Aqua Media Int.
Boes, R. M., and W. H. Hager. 2003a. “Hydraulic design of stepped spillways.” J. Hydraul. Eng. 129 (9): 671–679. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:9(671).
Boes, R. M., and W. H. Hager. 2003b. “Two-phase flow characteristics of stepped spillways.” J. Hydraul. Eng. 129 (9): 661–670. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:9(661).
Bollaert, E., E. Lesleighter, S. McComber, P. Bozorgmehr, L. Fahey, and D. Scriven. 2016. “Rock scour in Australia: Some latest Queensland experiences.” In Proc., 8th Int. Conf. on Scour and Erosion, edited by J. Harris, R. Whitehouse, and S. Moxon. Boca Raton: CRC Press.
Bukreev, V. I. 1966. “Statistical characteristics of the pressure fluctuation in a hydraulic jump.” J. Appl. Mech. Tech. Phys. 7 (5): 97–99. https://doi.org/10.1007/BF00912642.
Bung, D. B. 2011. “Developing flow in skimming flow regime on embankment stepped spillways.” J. Hydraul. Res. 49 (5): 639–648. https://doi.org/10.1080/00221686.2011.584372.
Bung, D. B., Q. Sun, I. Meireles, T. Viseu, and J. S. Matos. 2012. “USBR type III stilling basin performance for steep stepped spillways.” In Proc., 4th Int. IAHR Symp. on Hydraulic Structures, edited by J. Matos, S. Pagliara, and I. Meireles. Lisbon, Portugal: Portuguese Water Resources Association.
Cardoso, G., I. Meireles, and J. Matos. 2007. “Pressure head along baffle stilling basins downstream of steeply sloping stepped chutes.” In Proc., 32nd IAHR World Congress, edited by G. Di Silvio and S. Lanzoni. Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Chamani, M. R., and N. Rajaratnam. 1999. “Characteristics of skimming flow over stepped spillways.” J. Hydraul. Eng. 125 (4): 361–368. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:4(361).
Chanson, H. 1993. “Self-aerated flows on chutes and spillways.” J. Hydraul. Eng. 119 (2): 220–243. https://doi.org/10.1061/(ASCE)0733-9429(1993)119:2(220).
Chanson, H. 2011. “Hydraulic jumps: Turbulence and air bubble entrainment.” La Houille Blanche 2011 (3): 5–16. https://doi.org/10.1051/lhb/2011026.
Chanson, H., and R. Carvalho. 2015. “Hydraulic jumps and stilling basins.” In Energy dissipation in hydraulic structures, edited by H. Chanson, 65–104. Leiden, Netherlands: CRC Press.
Chanson, H., and Y. Chachereau. 2013. “Scale effects affecting two-phase flow properties in hydraulic jump with small inflow Froude number.” Exp. Therm. Fluid Sci. 45 (Feb): 234–242. https://doi.org/10.1016/j.expthermflusci.2012.11.014.
Chanson, H., and C. Gualtieri. 2008. “Similitude and scale effects of air entrainment in hydraulic jumps.” J. Hydraul. Res. 46 (1): 35–44. https://doi.org/10.1080/00221686.2008.9521841.
Chanson, H., and L. Toombes. 2002. “Air-water flows down stepped chutes: Turbulence and flow structure observations.” Int. J. Multiphase Flow 28 (11): 1737–1761. https://doi.org/10.1016/S0301-9322(02)00089-7.
Chanson, H., and L. Toombes. 2004. “Hydraulics of stepped chutes: The transition flow.” J. Hydraul. Eng. 42 (1): 43–54. https://doi.org/10.1080/00221686.2004.9641182.
Felder, S., and H. Chanson. 2016. “Air-water flow characteristics in high-velocity free-surface flows with 50% void fraction.” Int. J. Multiphase Flow 85 (Oct): 186–195. https://doi.org/10.1016/j.ijmultiphaseflow.2016.06.004.
Fiorotto, V., and A. Rinaldo. 1992a. “Fluctuating uplift and lining design in spillway stilling basins.” J. Hydraul. Eng. 118 (4): 578–596. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:4(578).
Fiorotto, V., and A. Rinaldo. 1992b. “Turbulent pressure fluctuations under hydraulic jumps.” J. Hydraul. Res. 30 (4): 499–520. https://doi.org/10.1080/00221689209498897.
Frisch, U. 1995. Turbulence. Cambridge, UK: Cambridge University Press.
Frizell, K. H. 1990. Hydraulic model study of Mc Clure Dam existing and proposed RCC Stepped Spillways. Denver: US Bureau of Reclamation.
Frizell, K. H. 2006. Research state-of-the-art and needs for hydraulic design of stepped spillways. Denver: US Bureau of Reclamation.
Frizell, K. W., and C. D. Svoboda. 2012. Performance of type III stilling basins—Stepped spillway studies. Denver: US Bureau of Reclamation.
Frizell, K. W., C. D. Svoboda, and J. Matos. 2016. “Performance of type III stilling basins for stepped spillways.” In Proc., 2nd Int. Seminar on Dam Protection against Overtopping. Fort Collins, CO: Colorado State Univ. Libraries.
Hager, W. H. 1991. “Uniform aerated chute flow.” J. Hydraul. Eng. 117 (4): 528–533. https://doi.org/10.1061/(ASCE)0733-9429(1991)117:4(528).
Hager, W. H. 1992. Energy dissipators and hydraulic jump. Dordrecht, Netherlands: Springer.
Hager, W. H., R. Bremen, and N. Kawagoshi. 1990. “Classical hydraulic jump: Length of roller.” J. Hydraul. Res. 28 (5): 591–608. https://doi.org/10.1080/00221689009499048.
Houston, K. 1987. Hydraulic model studies of Upper Stillwater Dam stepped spillway and outlet works. Denver: US Bureau of Reclamation.
Hunt, S. L., and K. C. Kadavy. 2010. “Energy dissipation on flat-sloped stepped spillways. Part 1: Upstream of the inception point.” Trans. ASABE 53 (1): 103–109. https://doi.org/10.13031/2013.29506.
Hunt, S. L., K. C. Kadavy, and G. J. Hanson. 2014. “Simplistic design methods for moderate-sloped stepped chutes.” J. Hydraul. Eng. 140 (12): 04014062. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000938.
Khatsuria, R. M. 2005. Hydraulics of spillways and energy dissipators. New York: Marcel Dekker.
Kramer, K. 2004. Development of aerated chute flow: VAW Mitteilungen 183. Edited by H.-E. Minor. Zürich, Switzerland: Laboratory of Hydraulics, Hydrology and Glaciology, ETH Zürich.
Kramer, M., and H. Chanson. 2018. “Transition flow regime on stepped spillways: Air-water flow characteristics and step-cavity fluctuations.” Environ. Fluid Mech. 18 (4): 947–965. https://doi.org/10.1007/s10652-018-9575-y.
Lopardo, R. A., J. C. De Lio, and G. F. Vernet. 1982. “Physical modelling on cavitation tendency for macroturbulence of hydraulic jump.” In Proc., Int. Conf. on the Hydraulic Modelling of Civil Engineering Structure, edited by H. S. Stephenson and C. A. Stapleton, 109–121. Coventry, UK: British Hydromechanics Research Association.
Lopardo, R. A., and R. E. Henning. 1985. “Experimental advances on pressure fluctuation beneath hydraulic jumps.” In Proc., 21st IAHR World Congress, 634–638. Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Lopardo, R. A., and M. Romagnoli. 2009. “Pressure and velocity fluctuations in stilling basins.” In Advances in water resources and hydraulic engineering, 2093–2098. Berlin: Springer.
Lueker, M. L., O. Mohseni, J. S. Gulliver, H. Schulz, and R. A. Christopher. 2008. The physical model study of the Folsom Dam auxiliary spillway system.. Minneapolis: St. Anthony Falls Laboratory, Univ. of Minnesota.
Matos, J., M. Sánchez-Juny, A. Quintela, and J. Dolz. 2000. “Air entrainment and safety against cavitation damage in stepped spillways over RCC dams.” In Proc., Int. Workshop on Hydraulics of Stepped Spillways, edited by H.-E. Minor and W. H. Hager, 69–76. Rotterdam, Netherlands: A.A. Balkema.
McDonald, L. 2013. Paradise dam review.. Brisbane, Australia: Dept. of Energy and Water Supply, Queensland Government.
Meireles, I., and J. Matos. 2009. “Skimming flow in the nonaerated region of stepped spillways over embankment dams.” J. Hydraul. Eng. 135 (8): 685–689. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000047.
Meireles, I., J. Matos, and J. F. Melo. 2005. “Pressure head and residual energy in skimming flow on steeply sloping stepped spillways.” In Proc., 31st IAHR World Congress, edited by B.-H. Jun, 2654–2663. Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Meireles, I., J. Matos, and A. Silva Afonso. 2010. “Flow characteristics along a USBR type III stilling basin downstream of steep stepped spillways.” In Proc., 3rd Int. Junior Researcher and Engineer Workshop on Hydraulic Structures, edited by R. Janssen and H. Chanson, 57–64. Brisbane, Australia: Univ. of Queensland.
Meireles, I., F. Renna, J. Matos, and F. Bombardelli. 2012. “Skimming, nonaerated flow on stepped spillways over roller compacted concrete dams.” J. Hydraul. Eng. 138 (10): 870–877. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000591.
Monin, A. S., and A. M. Yanglom. 1975. Vol. 2 of Statistical fluid mechanics. Cambridge, MA: MIT Press.
Montano, L., R. Li, and S. Felder. 2018. “Continuous measurements of time-varying free-surface profiles in aerated hydraulic jumps with a LIDAR.” Exp. Therm Fluid Sci. 93 (May): 379–397. https://doi.org/10.1016/j.expthermflusci.2018.01.016.
Mossa, M., and U. Tolve. 1998. “Flow visualization in bubbly two-phase hydraulic jump.” J. Fluids Eng. 120 (1): 160–165. https://doi.org/10.1115/1.2819641.
Murzyn, F., and H. Chanson. 2008. “Experimental assessment of scale effects affecting two-phase flow properties in hydraulic jumps.” Exp. Fluids 45 (3): 513–521. https://doi.org/10.1007/s00348-008-0494-4.
Murzyn, F., and H. Chanson. 2009. “Free-surface fluctuations in hydraulic jumps: Experimental observations.” Exp. Therm Fluid Sci. 33 (7): 1055–1064. https://doi.org/10.1016/j.expthermflusci.2009.06.003.
Novakoski, C. K., E. Conterato, M. Marques, E. D. Teixeira, G. A. Lima, and A. Mees. 2017a. “Macro-turbulent characteristics of pressures in hydraulic jump formed downstream of a stepped spillway.” RBRH (Braz. J. Water Resour.) 22 (22): 8. https://doi.org/10.1590/2318-0331.011716034.
Novakoski, C. K., R. F. Hampe, E. Conterato, M. G. Marques, and E. D. Teixeira. 2017b. “Longitudinal distribution of extreme pressures in a hydraulic jump downstream of a stepped spillway.” RBRH (Braz. J. Water Resour.) 22 (42): 8. https://doi.org/10.1590/2318-0331.0117160035.
Peterka, A. J. 1958. Hydraulic design of stilling basins and energy dissipators. Denver: US Dept. of the Interior.
Pfister, M., and H. Chanson. 2014. “Two-phase air-water flows: Scale effects in physical modeling.” J. Hydrodyn. 26 (2): 291–298. https://doi.org/10.1016/S1001-6058(14)60032-9.
Pinheiro, A. N. 1995. “Acções hidrodinâmicas em soleiras de bacias de dissipação de energia por ressalto.” [In Portuguese.] Ph.D. thesis, Instituto Superior Técnico.
Schiebe, F. R., and C. E. Bowers. 1971. “Boundary pressure fluctuations due to macroturbulence in hydraulic jumps.” In Proc., Symp. on Turbulence in Liquids, 134–139. Rolla, MO: Missouri Univ. of Science and Technology.
Schwalt, M., and W. H. Hager. 1992. “Die Strahlbox.” [In German.] Schweiz. Ing. Architekt 110 (27–28): 547–549.
Stojnic, I. 2020. “Stilling basin performance downstream of stepped spillways.” Ph.D. thesis, École Polytechnique Fédérale de Lausanne (EPFL), Switzerland and Instituto Superior Técnico (IST).
Stojnic, I., M. Pfister, J. Matos, and A. J. Schleiss. 2020. “Bottom pressure characteristics in a stilling basin downstream of a stepped spillway for two different chute slopes.” In Proc., 8th Int. IAHR Symp. on Hydraulic Structures, edited by R. Janssen and H. Chanson. Brisbane, Australia: Univ. of Queensland. https://doi.org/10.14264/uql.2020.617.
Straub, L. G., and A. G. Anderson. 1958. “Experiments on self-aerated flow in open channels.” J. Hydraul. Div. 84 (7): 1–35.
Toso, J. W., and C. E. Bowers. 1988. “Extreme pressures in hydraulic-jump stilling basins.” J. Hydraul. Eng. 114 (8): 829–843. https://doi.org/10.1061/(ASCE)0733-9429(1988)114:8(829).
Wang, H., and H. Chanson. 2015. “Experimental study of turbulent fluctuations in hydraulic jumps.” J. Hydraul. Eng. 141 (7): 4015010. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001010.
Wilhelms, S. C., and J. S. Gulliver. 2005. “Bubbles and waves description of self-aerated spillway flow.” J. Hydraul. Res. 43 (5): 522–531. https://doi.org/10.1080/00221680509500150.
Wood, I. 1983. “Uniform region of self-aerated flow.” J. Hydraul. Eng. 109 (2): 447–461. https://doi.org/10.1061/(ASCE)0733-9429(1983)109:3(447).
Zhang, G., and H. Chanson. 2017. “Self-aeration in the rapidly-and gradually-varying flow regions of steep smooth and stepped spillways.” Environ. Fluid Mech. 17 (1): 27–46. https://doi.org/10.1007/s10652-015-9442-z.
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Journal of Hydraulic Engineering
Volume 147 • Issue 2 • February 2021
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© 2020 American Society of Civil Engineers.
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Received: Nov 19, 2019
Accepted: Aug 25, 2020
Published online: Dec 4, 2020
Published in print: Feb 1, 2021
Discussion open until: May 4, 2021
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