Bubbly Two-Phase Flow in Hydraulic Jumps at Large Froude Numbers
Publication: Journal of Hydraulic Engineering
Volume 137, Issue 4
Abstract
A hydraulic jump is a sudden, rapid transition from a supercritical flow to a subcritical flow. At large inflow Froude numbers, the jump is characterized by a significant amount of entrained air. For this paper, the bubbly two-phase flow properties of steady and strong hydraulic jumps were investigated experimentally. The results demonstrate that the strong air entrainment rate and the depth-averaged void-fraction data highlight a rapid deaeration of the jump roller. The results suggest that the hydraulic jumps are effective aerators and that the rate of detrainment is comparatively smaller at the largest Froude numbers.
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Acknowledgments
The writer thanks Ben Hopkins and Hugh Cassidy from the University of Queensland who carefully conducted the experimental measurements. He further acknowledges the financial support of the Australian Research Council with Grant No. ARCDP0878922.
References
Babb, A. F., and Aus, H. C. (1981). “Measurements of air in flowing water.” J. Hydraul. Div., 107(HY12), 1615–1630.
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. (1997). Air bubble entrainment in free-surface turbulent shear flows, Academic Press, London, 401.
Chanson, H. (2002). “Air-water flow measurements with intrusive phase-detection probes: Can we improve their interpretation?” J. Hydraul. Eng., 128(3), 252–255.
Chanson, H. (2007). “Bubbly flow structure in hydraulic jump.” Eur. J. Mech. B, Fluids, 26(3), 367–384.
Chanson, H. (2009a). “Advective diffusion of air bubbles in hydraulic jumps with large Froude numbers: An experimental study.” Hydraulic Model Rep. No. CH75/09, School of Civil Engineering, Univ. of Queensland, Brisbane, Australia.
Chanson, H. (2009b). “Turbulent air-water flows in hydraulic structures: Dynamic similarity and scale effects.” Environ. Fluid Mech., 9(2), 125–142.
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.
Crowe, C., Sommerfield, M., and Tsuji, Y. (1998). Multiphase flows with droplets and particles, CRC, Boca Raton, FL, 471.
Ervine, D. A., and Falvey, H. T. (1987). “Behaviour of turbulent water jets in the atmosphere and in plunge pools.” Inst. Civ. Eng. Proc., 83(1), 295–314.
Gupta, N. K. (1966). “Discussion of ‘The hydraulic jump as a wall jet’ by N. Rajaratnam.” J. Hydraul. Div., 92(HY3), 110–123.
Hager, W. H., Bremen, R., and Kawagoshi, N. (1990). “Classical hydraulic jump: Length of roller.” J. Hydraul. Res., 28(5), 591–608.
Henderson, F. M. (1966). Open channel flow, MacMillan, New York.
Kucukali, S., and Chanson, H. (2008). “Turbulence measurements in hydraulic jumps with partially-developed inflow conditions.” Exp. Therm. Fluid. Sci., 33(1), 41–53.
Liu, M., Rajaratnam, N., and Zhu, D. Z. (2004). “Turbulent structure of hydraulic jumps of low Froude numbers.” J. Hydraul. Eng., 130(6), 511–520.
Long, D., Rajaratnam, N., Steffler, P. M., and Smy, P. R. (1991). “Structure of flow in hydraulic jumps.” J. Hydraul. Res., 29(2), 207–218.
Mossa, M., and Tolve, U. (1998). “Flow visualization in bubbly two-phase hydraulic jump.” J. Fluids Eng., 120(1), 160–165.
Murzyn, F., and Chanson, H. (2008). “Experimental assessment of scale effects affecting two-phase flow properties in hydraulic jumps.” Exp. Fluids, 45(3), 513–521.
Murzyn, F., and Chanson, H. (2009). “Free-surface fluctuations in hydraulic jumps: Experimental observations.” Exp. Therm. Fluid. Sci., 33(7), 1055–1064.
Murzyn, F., Mouaze, D., and Chaplin, J. R. (2005). “Optical fibre probe measurements of bubbly flow in hydraulic jumps.” Int. J. Multiphase Flow, 31(1), 141–154.
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.
Rajaratnam, N. (1962). “An experimental study of air entrainment characteristics of the hydraulic jump.” J. Inst. Eng. (India), 42(7), 247–273.
Rajaratnam, N. (1965). “The hydraulic jump as a wall jet.” J. Hydraul. Div., 91(HY5), 107–132.
Rao, N. S. L., and Kobus, H. E. (1971). “Characteristics of self-aerated free-surface flows.” Water and waste water: Current research and practice, Vol. 10, Eric Schmidt Verlag, Berlin.
Resch, F. J., Leutheusser, H. J., and Alemu, S. (1974). “Bubbly two-phase flow in hydraulic jump.” J. Hydraul. Div., 100(HY1), 137–149.
Rouse, H., Siao, T. T., and Nagaratnam, S. (1959). “Turbulence characteristics of the hydraulic jump.” Trans. Am. Soc. Civ. Eng., 124, 926–950.
Wood, I. R. (1991). “Air entrainment in free-surface flows.” IAHR Hydraulic Structures Design Manual No. 4: Hydraulic Design Considerations, Balkema, Rotterdam, The Netherlands, 149.
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© 2011 American Society of Civil Engineers.
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Received: Jan 15, 2010
Accepted: Aug 18, 2010
Published online: Sep 6, 2010
Published in print: Apr 1, 2011
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