Turbulence Characteristics of Classical Hydraulic Jump Using DES
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 144, Issue 6
Abstract
This paper performs a three-dimensional, unsteady, detached-eddy simulation (DES) of a classical hydraulic jump with an inlet Froude number of 8.5. The volume of fluid (VOF) method with a high-resolution interface capturing (HRIC) scheme is used for free-surface tracking. The computational results are validated using available experimental results and by ensuring that details of the flow physics based on existing knowledge are properly captured. The three-dimensional nature of the flow in the developed zone of the hydraulic jump is well demonstrated, and a better understanding of the interaction between the wall-jet flow and the roller region above it is revealed. The paper also resolves the internal turbulent structure of the classical hydraulic jump, which is not completely realized in the experimental results. Quadrant decomposition of the Reynolds shear stresses reveals that inward and outward interactions dominate the flow field. This is further ascertained by the analysis of the third-order moments of the velocity field. It is also revealed that the expanding shear layer interacts with the free surface resulting in intense undulations and breaking up of the free surface.
Get full access to this article
View all available purchase options and get full access to this article.
References
AIAA (American Institute of Aeronautics and Astronautics). (2002). “Guide for the verification and validation of computational fluid dynamics simulations.” AIAA G-077-1998, Reston, VA.
Balachandar, R., and Bhuiyan, F. (2007). “Higher-order moments of velocity fluctuations in an open-channel flow with large bottom roughness.” J. Hydraul. Eng., 77–87.
Boyer, C., Duquenne, A.-M., and Wild, G. (2002). “Measuring techniques in gas–liquid and gas–liquid–solid reactors.” Chem. Eng. Sci., 57(16), 3185–3215.
Carvalho, R. F., Lemos, C. M., and Ramos, C. M. (2008). “Numerical computation of the flow in hydraulic jump stilling basins.” J. Hydraul. Res., 46(6), 739–752.
Cassan, L., and Belaud, G. (2012). “Experimental and numerical investigation of flow under sluice gates.” J. Hydraul. Eng., 367–373.
Chachereau, Y., and Chanson, H. (2011). “Free-surface fluctuations and turbulence in hydraulic jumps.” Exp. Thermal Fluid Sci., 35(6), 896–909.
Chanson, H. (1995). “Air entrainment in two-dimensional turbulent shear flows with partially developed inflow conditions.” Int. J. Multiphase Flow, 21(6), 1107–1121.
Chanson, H. (1996). Air bubble entrainment in free-surface turbulent shear flows, Academic Press, London.
Chanson, H. (2002). “Air-water flow measurements with intrusive, phase-detection probes: Can we improve their interpretation?” J. Hydraul. Eng., 252–255.
Chanson, H. (2007). “Bubbly flow structure in hydraulic jump.” Eur. J. Mech. -B/Fluids, 26(3), 367–384.
Chanson, H. (2010). “Convective transport of air bubbles in strong hydraulic jumps.” Int. J. Multiphase Flow, 36(10), 798–814.
Chanson, H., and Brattberg, T. (2000). “Experimental study of the air-water shear flow in a hydraulic jump.” Int. J. Multiphase Flow, 26(4), 583–607.
Chanson, H., and Gualtieri, C. (2008). “Similitude and scale effects of air entrainment in hydraulic jumps.” J. Hydraul. Res., 46(1), 35–44.
El-Khashab, A. M. (1987). “Pressure fluctuations on the floor of hydraulic jumps.” Proc., National Conf. on Hydraulic Engineering, ASCE, Williamsburg, VA.
Hager, W. H. (1992). “Energy dissipators and hydraulic jump.” Water science of technology library, Vol. 8, Kluwer, Dordrecht, Netherlands, 67–75.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys., 39(1), 201–225.
Hoyt, J. W., and Sellin, R. H. J. (1989). “Hydraulic jump as ‘mixing layer’.” J. Hydraul. Eng., 1607–1614.
Jesudhas, V., Roussinova, V., Balachandar, R., and Barron, R. (2014). “Effect of surface tension on the air entrainment of a submerged hydraulic jump using DES.” Proc., 22nd Annual Conf. of CFD Society of Canada, CFD2014, CFD Society of Canada, Toronto.
Jesudhas, V., Roussinova, V., Balachandar, R., and Barron, R. (2016). “Submerged hydraulic jump study using DES.” J. Hydraul. Eng., 4016091.
Lin, C., Hsieh, S. C., Lin, I. J., Chang, K. A., and Raikar, R. V. (2012). “Flow property and self-similarity in steady hydraulic jumps.” Exp. Fluids, 53(5), 1591–1616.
Liu, M., Rajaratnam, N., and Zhu, D. Z. (2004). “Turbulence structure of hydraulic jumps of low Froude numbers.” J. Hydraul. Eng., 511–520.
Long, D., Steffler, P. M., and Rajaratnam, N. (1990). “LDA study of flow structure in submerged hydraulic jump.” J. Hydraul. Res., 28(4), 437–460.
Long, D., Steffler, P. M., and Rajaratnam, N. (1991). “A numerical study of submerged hydraulic jumps.” J. Hydraul. Res., 29(3), 293–308.
Lu, S. S., and Willmarth, W. W. (1973). “Measurements of the structure of the Reynolds stress in a turbulent boundary layer.” J. Fluid Mech., 60(03), 481–511.
Lubin, P., Glockner, S., and Chanson, H. (2009). “Numerical simulation of air entrainment and turbulence in a hydraulic jump.” Colloque SHF Modèles Physiques Hydrauliques: Outils Indispensables du XXIe Siècle?, Société Hydrotechnique de France, Lyon, France, 109–114.
Menter, F. R. (1992). “Improved two-equation k-omega turbulence models for aerodynamic flows.” NASA Ames Research Center, Moffett Field, CA.
Misra, S. K., Kirby, J. T., Brocchini, M., Veron, F., Thomas, M., and Kambhamettu, C. (2008). “The mean and turbulent flow structure of a weak hydraulic jump.” Phys. Fluids, 20(3), 035106.
Mossa, M. (1999). “On the oscillating characteristics of hydraulic jumps.” J. Hydraul. Res., 37(4), 541–558.
Mossa, M., and Tolve, U. (1998). “Flow visualization in bubbly two-phase hydraulic jump.” J. Fluids Eng., 120(1), 160–165.
Mouaze, D., Murzyn, F., and Chaplin, J. R. (2005). “Free surface length scale estimation in hydraulic jumps.” J. Fluids Eng., 127(6), 1191–1193.
Murzyn, F., and Chanson, H. (2009). “Experimental investigation of bubbly flow and turbulence in hydraulic jumps.” Environ. Fluid Mech., 9(2), 143–159.
Murzyn, F., Mouaze, D., and Chaplin, J. R. (2007). “Air-water interface dynamic and free surface features in hydraulic jumps.” J. Hydraul. Res., 45(5), 679–685.
Nakagawa, H., and Nezu, I. (1977). “Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows.” J. Fluid Mech., 80(1), 99–128.
Nasif, G., Balachandar, R., and Barron, R. M. (2014). “DES evaluation of near-wake characteristics in a shallow flow.” J. Fluids Struct., 45, 153–163.
Nasif, G., Balachandar, R., and Barron, R. M. (2016). “Mean characteristics of fluid structures in shallow-wake flows.” Int. J. Multiphase Flow, 82, 74–85.
Ohtsu, I. O., Yasuda, Y., and Awazu, S. (1990). “Free and submerged hydraulic jumps in rectangular channels.”, Research Institute of Science and Technology, Nihon Univ., Tokyo.
Rajaratnam, N. (1967). “Hydraulic jumps.” Advances hydroscience, V. T. Chow, ed., Vol. 4, Academic Press, New York, 197–280.
Resch, F. J., and Leutheusser, H. J. (1971). “Mesures de turbulence dans le ressaut hydraulique.” La houille blanche, 1(1), 17–31 (in French).
Rouse, H., Siao, T. T., and Nagaratnam, S. (1959). “Turbulence characteristics of the hydraulic jump.” Trans. Am. Soc. Civ. Eng., 124(1), 926–950 (in French).
Schröder, R. (1963). “Die turbulente Strömung im freien Wechselsprung [The turbulent flow in the free hydraulic jump].” Habilitation thesis, Institut fur Wasserbau und Wasserwirtschaft, Berlin (in German).
Shur, M. L., Spalart, P. R., Strelets, M. K., and Travin, A. K. (2008). “A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities.” Int. J. Heat Fluid Flow, 29(6), 1638–1649.
STAR-CCM+ version 8.04 [Computer software]. CD-adapco, Melville, NY.
Tachie, M. F. (2001). “Open channel turbulent boundary layers and wall jets on rough surfaces.” Ph.D. thesis, Dept. of Mechanical Engineering, Univ. of Saskatchewan, Saskatoon, SK, Canada.
Tulimilli, B. R., Lottes, S. A., Majumdar, P., and Kostic, M. (2011). “Three-dimensional scouring analysis for open channel pressure flow scour under flooded bridge decks.” ASME 2011 Int. Mechanical Engineering Congress and Exposition, ASME, New York, 975–981.
Wang, H., and Chanson, H. (2014). “Turbulent fluctuations in hydraulic jumps: A physical study.” Proc., 11th National Conf. on Hydraulics in Civil Engineering and 5th Int. Symp. on Hydraulic Structures: Hydraulic Structures and Society-Engineering Challenges and Extremes, Engineers Australia, Barton, Australia, 26.
Wang, H., and Chanson, H. (2015). “Experimental study of turbulent fluctuations in hydraulic jumps.” J. Hydraul. Eng., 04015010.
Witt, A., Gulliver, J., and Shen, L. (2015). “Simulating air entrainment and vortex dynamics in a hydraulic jump.” Int. J. Multiphase Flow, 72, 165–180.
Wu, S., and Rajaratnam, N. (1995). “Free jumps, submerged jumps and wall jets.” J. Hydraul. Res., 33(2), 197–212.
Wu, S., and Rajaratnam, N. (1996). “Transition from hydraulic jump to open channel flow.” J. Hydraul. Eng., 526–528.
Zhang, G., Wang, H., and Chanson, H. (2013). “Turbulence and aeration in hydraulic jumps: Free-surface fluctuation and integral turbulent scale measurements.” Environ. Fluid Mech., 13(2), 189–204.
Zobeyer, A. H., Jahan, N., Islam, Z., Singh, G., and Rajaratnam, N. (2010). “Turbulence characteristics of the transition region from hydraulic jump to open channel flow.” J. Hydraul. Res., 48(3), 395–399.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Oct 29, 2016
Accepted: Sep 11, 2017
Published online: Mar 20, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 20, 2018
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.