Inclined Negatively Buoyant Discharges
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VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 133, Issue 5
Abstract
Analytical solutions are developed to predict the behavior of inclined negatively buoyant discharges and these solutions are compared with data from previous studies and from experiments described here, where light attenuation and laser-induced fluorescence techniques are employed to study these flows. Comparisons show that the analytical solutions provide reasonable predictions of the flow’s path for initial discharge angles ranging from 0 to 75° and initial Froude numbers ranging from 14 to 99. The solutions also predict the maximum height of the outer edge of the jet with reasonable accuracy, and thus the outer spread of the jet is well predicted. However, the inner spread is underestimated and minimum dilution predictions are shown to be conservative by approximately 18% at the centerline maximum height and 34% at the return or impact point. Predictions from the CorJet and VisJet numerical models are also shown to be conservative.
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References
Abraham, G. (1967). “Jets with negative buoyancy in homogeneous.” J. Hydraul. Res., 5, 235–248.
Baines, W. D., and Chu, V. H. (1996). “Jets and plumes.” Environmental hydraulics, V. P. Singh and W. H. Hager, eds., Chap. 2, Kluwer, Dordrect, The Netherlands, 7–61.
Baines, W. D., Turner, J. S., and Campbell, I. H. (1990). “Turbulent fountains in an open chamber.” J. Fluid Mech., 212, 557–592.
Cenedese, C., and Dalziel, S. (1998). “Concentration and depth field determined by the light transmitted through dyed solution.” Proc., 8th Int. Symp. on Flow Visualization, Sorrento, Italy.
Cipollina, A., Brucato, A., Grisafi, F., and Nicosia, S. (2005). “Bench-scale investigation of inclined dense jets.” J. Hydraul. Eng., 131(11), 1017–1022.
Davidson, M. J., and Pun, K. L. (2000). “Locating discharge trajectories in still and moving ambient fluids.” J. Hydraul. Eng., 126(7), 513–524.
Hussein, H. J., Cap, S. P., and George, W. K. (1994). “Velocity measurements in a high-Reynolds-number, momentum conserving, axisymmetric, turbulent jet.” J. Fluid Mech., 258, 31–75.
James, W. P., Vergara, I., and Kim, K. (1983). “Dilution of a dense vertical jet.” J. Environ. Eng., 109(6), 1273–1283.
Jirka, G. H. (2004). “Integral model for turbulent buoyant jets in unbounded stratified flows. Part 1: Single round buoyant jet.” Environ. Fluid Mech., 4(1), 1–56.
Kikkert, G. A. (2006). “Buoyant jets with two and three dimensional trajectories.” Ph.D. thesis, Univ. of Canterbury, Christchurch, New Zealand.
Kikkert, G. A., Davidson, M. J., and Nokes, R. I. (2004). “Light attenuation data from weakly and strongly advected discharges.” Environmental hydraulics and sustainable water management, J. H. W. Lee and K. M. Lam, eds., Taylor & Francis, London.
Lee, J. W. H., Cheung, V., Wang, W. P., and Cheung, S. K. B. (2000). “Lagrangian modeling and visualization of rosette outfall plumes.” Proc., Hydrodynamics 2000, 23–27.
McLellan, T. M., and Randal, R. E. (1986). “Measurement of brine jet height and dilution.” J. Waterway, Port, Coastal, Ocean Eng., 112(2), 200–216.
Papanicolaou, P. N., and List, E. J. (1988). “Measurements of round vertical axisymmetric buoyant jets.” J. Fluid Mech., 195, 341–391.
Pincince, A. B., and List, E. J. (1973). “Disposal of brine into an estuary.” J. Water Pollut. Control Fed., 45, 2335–2344.
Pun, K. L. (1998). “Hybrid models for jets and plumes in a flowing ambient fluid.” Ph.D. thesis, Hong Kong Univ. of Science and Technology, Hong Kong.
Roberts, P. J. W., Ferrier, A., Daviero, G. (1997). “Mixing in inclined dense jets.” J. Hydraul. Eng., 123(8), 693–699.
Roberts, P. J. W., and Toms, G. (1987). “Inclined dense jets in flowing current.” J. Hydraul. Eng., 113(3), 323–341.
Turner, J. S. (1966). “Jets and plumes with negative or reversing buoyancy.” J. Fluid Mech., 26, 779–792.
Wang, H., and Law, A. W. K. (2002). “Second-order integral model for a round buoyant jet.” J. Fluid Mech., 459, 397–428.
Wood, I. R., Bell, R. G., and Wilkinson, D. L. (1993). Ocean disposal of wastewater, World Scientific, Singapore.
Zeitoun, M. A., Reid, R. O., McHilhenny, W. F., and Mitchell, T. M. (1972). “Model studies of outfall systems for desalination plants.” Research and Development Progress Rep. 804, Office of Saline Water, U.S. Dept. of Interior, Washington, D.C.
Zhang, H., and Baddour, R. E. (1998). “Maximum penetration of vertical round dense jets at small and large Froude numbers.” J. Hydraul. Eng., 124(5), 550–553.
Zhang, J. B., and Chu, V. H. (2003). “Shallow turbulent flows by video imaging method.” J. Eng. Mech., 129(10), 1164–1172.
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© 2007 ASCE.
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Received: May 17, 2005
Accepted: Oct 24, 2006
Published online: May 1, 2007
Published in print: May 2007
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