Roller Characteristics of Preaerated High-Froude-Number Hydraulic Jumps
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 4
Abstract
A hydraulic jump in a stilling basin at the base of spillway is typically characterized by preaerated inflow conditions. This paper presents an experimental study of high-Froude-number hydraulic jumps with different preaeration levels. Two characteristic lengths of the jump, namely the jump length and roller length, which are defined in various studies but sometimes not clearly distinguished, are obtained from the same flows by means of free-surface and air-water flow velocity measurements, respectively. The effects of changes in preaeration level are found to be opposite on the jump and roller lengths. Enhanced preaeration allows for a shorter length of the hydraulic jump, and the jump roller is elongated to achieve the same energy-dissipation rate in a shorter distance. The results imply a predominant effect of energy-dissipation enhancement over reductions associated with the extra air–water mixing and bubble–turbulence interplay. Tailwater wave characteristics are presented, showing similar frequencies for the far-field wave fluctuations and upstream jump toe oscillations on the two ends of the jump.
Get full access to this article
View all available purchase options and get full access to this article.
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
The second author thanks Professor Hubert Chanson (University of Queensland, Australia) for helpful discussion and Dr. Matthias Kramer (University of New South Wales, Australia) for sharing his code of the AWCC calculation. The research was supported by the National Natural Science Foundation of China (Grant Nos. 51909180, 51879177, and 51709293).
References
Beirami, M. K., and M. R. Chamani. 2010. “Hydraulic jump in sloping channels: Roller length and energy loss.” Can. J. Civ. Eng. 37 (4): 535–543. https://doi.org/10.1139/L09-175.
Bradley, J. N., and A. J. Peterka. 1957. “The hydraulic design of stilling basins: Hydraulic jumps on a horizontal apron (Basin I).” J. Hydraul. Div. 83 (HY5): 1–24.
Carollo, F. G., V. Ferro, and V. Pampalone. 2012. “New expression of the hydraulic jump roller length.” J. Hydraul. Eng. 138 (11): 995–999. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000634.
Castro-Orgaz, O., and W. H. Hager. 2009. “Classical hydraulic jump: Basic flow features.” J. Hydrau. Res. 47 (6): 744–754. https://doi.org/10.3826/jhr.2009.3610.
Chanson, H. 1997. Air bubble entrainment in free-surface turbulent shear flows. Cambridge, MA: Academic Press.
Chanson, H. 2010. “Convective transport of air bubbles in strong hydraulic jumps.” Int. J. Multiphase Flow 36 (10): 798–814. https://doi.org/10.1016/j.ijmultiphaseflow.2010.05.006.
Chanson, H., and T. Brattberg. 2000. “Experimental study of the air-water shear flow in a hydraulic jump.” Int. J. Multiphase Flow 26 (4): 583–607. https://doi.org/10.1016/S0301-9322(99)00016-6.
Cummings, P. D., and H. Chanson. 1997. “Air entrainment in the developing flow region of plunging jets—Part 2: Experimental.” J. Fluids Eng. 119 (3): 603–608. https://doi.org/10.1115/1.2819287.
Derakhti, M., and J. T. Kirby. 2014. “Bubble entrainment and liquid–bubble interaction under unsteady breaking waves.” J. Fluid Mech. 761 (Dec): 464–506. https://doi.org/10.1017/jfm.2014.637.
Hager, W. H. 1992. “Energy dissipators and hydraulic jump.” In Vol. 8 of Water science and technology library. Dordrecht, Netherlands: Kluwer.
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.
Hay, N., and P. R. S. White. 1975. “Effect of air entrainment on the performance of stilling basins.” In Proc., XVI IAHR-Congress, 363–372. Sao Paolo, Brazil: International Association for Hydro-Environment Engineering and Research.
Herringe, R. A., and M. R. Davis. 1974. “Detection of instantaneous phase changes in gas-liquid mixtures.” J. Phys. E: Sci. Instrum. 7 (10): 807–812. https://doi.org/10.1088/0022-3735/7/10/010.
Jesudhas, V., R. Balachandar, H. Wang, and F. Murzyn. 2020. “Modelling hydraulic jumps: IDDES versus experiments.” Environ. Fluid Mech. 20 (2): 393–413. https://doi.org/10.1007/s10652-019-09734-5.
Kramer, M., B. Hohermuth, D. Valero, and S. Felder. 2020. “Best practices for velocity estimations in highly aerated flows with dual-tip phase-detection probes.” Int. J. Multiphase Flow 126 (May): 103228. https://doi.org/10.1016/j.ijmultiphaseflow.2020.103228.
Kramer, M., D. Valero, H. Chanson, and D. B. Bung. 2019. “Towards reliable turbulence estimations with phase-detection probes: An adaptive window cross-correlation technique.” Exp. Fluids 60 (1): 2.
Lelouvetel, J., T. Tanaka, Y. Sato, and K. Hishida. 2014. “Transport mechanisms of the turbulent energy cascade in upward/downward bubbly flows.” J. Fluid Mech. 741 (Feb): 514–542. https://doi.org/10.1017/jfm.2014.24.
Long, D., P. M. Steffler, and N. Rajaratnam. 1991. “Structure of flow in hydraulic jumps.” J. Hydraul. Res. 29 (2): 207–218. https://doi.org/10.1080/00221689109499004.
Mercado, J. M., V. N. Prakash, Y. Tagawa, C. Sun, and D. Lohse. 2012. “Lagrangian statistics of light particles in turbulence.” Phys. Fluids 24 (5): 055106. https://doi.org/10.1063/1.4719148.
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.
Montes, S. 1998. Hydraulics of open channel flow. Reston, VA: ASCE.
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.
Murzyn, F., D. Mouaze, and J. R. Chaplin. 2007. “Air-water interface dynamic and free surface features in hydraulic jumps.” J. Hydraul. Res. 45 (5): 679–685. https://doi.org/10.1080/00221686.2007.9521804.
Pagliara, S. 1996. “Length and depth of hydraulic jump in sloping channels.” J. Hydraul. Res. 34 (1): 137–144. https://doi.org/10.1080/00221689609498769.
Rajaratnam, N. 1965. “The hydraulic jump as a wall jet.” J. Hydraul. Div. 91 (5): 107–132.
Rajaratnam, N. 1967. “Hydraulic jumps.” In Vol. 4 of Advances in hydroscience, edited by V. T. Chow, 197–280. New York: Academic Press.
Rao, N. S. L., and H. E. Kobus. 1971. Characteristics of self-aerated free-surface flows: Water and waste water/current research and practice 10. Berlin: Eric Schmidt Verlag.
Rao, N. S. L., and B. S. Thandaveswara. 1978. “Some characteristics of hydraulic jumps.” J. Indian Inst. Sci. 60 (1): 15–33.
Santarelli, C., J. Roussel, and J. Frohlich. 2016. “Budget analysis of the turbulent kinetic energy for bubbly flow in a vertical channel.” Chem. Eng. Sci. 141: 46–62. https://doi.org/10.1016/j.ces.2015.10.013.
Valero, D., O. Fullana, R. García-Bartual, I. Andrés-Doménech, F. Vallés, and J. Marco. 2014. “Analytical formulation for the aerated hydraulic jump and physical modeling comparison.” In Proc., 3rd IAHR Europe Congress. Porto, Portugal: International Association for Hydro-Environment Engineering and Research.
Wang, H. 2014. “Turbulence and air entrainment in hydraulic jumps.” Ph.D. thesis, School of Civil Engineering, Univ. of Queensland.
Wang, H., and H. Chanson. 2015. “Experimental study of turbulent fluctuations in hydraulic jumps.” J. Hydraul. Eng. 141 (7): 04015010. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001010.
Wang, H., and H. Chanson. 2018. “Estimate of void fraction and air entrainment flux in hydraulic jump using Froude number.” Can. J. Civ. Eng. 45 (2): 105–116. https://doi.org/10.1139/cjce-2016-0279.
Wang, H., and H. Chanson. 2019. “Characterisation of transverse turbulent motion in quasi-two-dimensional aerated flow: Application of four-point air-water flow measurement in hydraulic jump.” Exp. Therm Fluid Sci. 100 (Jan): 222–232. https://doi.org/10.1016/j.expthermflusci.2018.09.004.
Wang, H., F. Murzyn, and H. Chanson. 2015. “Interaction between free-surface, two-phase flow and total pressure in hydraulic jump.” Exp. Therm Fluid Sci. 64 (Jun): 30–41. https://doi.org/10.1016/j.expthermflusci.2015.02.003.
Witt, A., J. Gulliver, and L. Shen. 2015. “Simulating air entrainment and vortex dynamics in a hydraulic jump.” Int. J. Multiphase Flow 72 (Jun): 165–180. https://doi.org/10.1016/j.ijmultiphaseflow.2015.02.012.
Wood, I. R. 1983. “Uniform region of self-aerated flow.” J. Hydraul. Eng. 109 (3): 447–461. https://doi.org/10.1061/(ASCE)0733-9429(1983)109:3(447).
Information & Authors
Information
Published In
Copyright
© 2021 American Society of Civil Engineers.
History
Received: May 26, 2020
Accepted: Oct 16, 2020
Published online: Jan 27, 2021
Published in print: Apr 1, 2021
Discussion open until: Jun 27, 2021
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.