Technical Papers
Jan 20, 2012

Mixing of Multiple Buoyant Jets

Publication: Journal of Hydraulic Engineering
Volume 138, Issue 12

Abstract

Multiple buoyant jets are found in the natural and artificial environment: thermal discharges from fossil and nuclear-fueled electricity generation, domestic and industrial wastewater discharges, brine disposal from desalination plants, and various heat sources in the built environment. An overview of theoretical and experimental modeling of multiple buoyant jets over the past three decades is presented. Basic measurements of the structure of buoyant jet flows, integral jet modeling and three-dimensional numerical solutions of the Reynolds-averaged equations are reviewed. A semianalytical model is proposed to predict the dynamic interaction of multiple buoyant jets in stagnant fluid. The unknown jet trajectories are obtained from an iterative solution of an integral jet model and the irrotational external flow. Predictions are in good agreement with experiments of clustered jet groups, turbulent plume pairs, alternating diffusers, and rosette buoyant jet groups; the approach can also be extended to multiple jets in cross-flow. The mixing of a rosette buoyant jet group in a cross-flow is reviewed. The use of jet theory in solving two unconventional urban environment problems are highlighted: (1) the unraveling of the cause of the severe acute respiratory syndrome (SARS) outbreak in Hong Kong in 2003; and (2) design of a complex river junction for flood control under tight space constraints. It is suggested that experiments will remain a source of new theoretical ideas and the need for a civil engineer to solve complex problems with tractable models and analytical clarity will prevail.

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References

Arega, F., Lee, J. H. W., and Tang, H. W. (2008). “Hydraulic jet control for river junction design of Yuen Long Bypass Floodway, Hong Kong.” J. Hydraul. Eng., 134(1), 23–33.
Baines, W. D., and Keffer, K. F. (1974). “Entrainment by a multiple source turbulent jet.” Adv. Geophys., 18(B), 289–298.
Batchelor, G. K. (1967). An introduction to fluid dynamics, Cambridge Univ. Press, London.
Cheung, V. (1991). “Mixing of a round buoyant jet in a current.” Ph.D. thesis, The Univ. of Hong Kong, Hong Kong.
Choi, K. W., and Lee, J. H. W. (2007). “Distributed entrainment sink approach for modeling mixing and transport in the intermediate field.” J. Hydraul. Eng., 133(7), 804–815.
Chu, P. C. K. (1996). “Mixing of turbulent advected line puffs.” Ph.D. thesis, The Univ. of Hong Kong, Hong Kong.
Chu, P. C. K., Lee, J. H. W., and Chu, V. H. (1999). “Spreading of turbulent round jet in coflow.” J. Hydraul. Eng., 125(2), 193–204.
Chu, V. H., and Lee, J. H. W. (1996). “A general integral formulation of turbulent buoyant jets in crossflow.” J. Hydraul. Eng., 122(1), 27–34.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J., and Brooks, N. H. (1979). Mixing in inland and coastal waters, Academic Press, New York.
Isaacson, M. S., Koh, R. C. Y., and Brooks, N. H. (1983). “Plume dilution for diffusers with multiport risers.” J. Hydraul. Eng., 109(2), 199–220.
Kaye, N. B., and Linden, P. F. (2004). “Coalescing axisymmetric turbulent plumes.” J. Fluid Mech., 502, 41–63.
Knystautas, R. (1964). “The turbulent jet from a series of holes in line.” Aeronautical Quarterly, 15(1), 1–28.
Kuang, C. P., Lee, J. H. W., Liu, S. G., and Gu, J. (2006). “Numerical study on plume interaction above an alternating diffuser in stagnant water.” China Ocean Eng., 20(2), 289–302.
Kwon, S. J. (2005). “Behavior of buoyant discharges from a Rosette-type diffuser.” Ph.D. thesis, Seoul National Univ., Korea.
Lai, A. C. H. (2009). “Mixing of a rosette buoyant jet group.” Ph.D. thesis, The Univ. of Hong Kong, Hong Kong.
Lai, A. C. H., and Lee, J. H. W. (2008). “Dynamic interaction in a rosette buoyant jet group.” Proc. 2nd Int. Symp. on Shallow Water Flows (CD-ROM), Dept. of Civil Engineering, Hong Kong Univ. of Science and Technology, Hong Kong.
Lai, A. C. H., and Lee, J. H. W. (2010a). “Buoyant jet interaction above an alternating diffuser.” 17th Congress of APD-IAHR, International Association of Hydraulic Research, Asian and Pacific Regional Division (APD-IAHR), Beijing.
Lai, A. C. H., and Lee, J. H. W. (2010b). “Multiple tandem jet interaction in a crossflow.” J. Hydrodyn. Ser. B, 22(5), 639–643.
Lai, A. C. H., and Lee, J. H. W. (2012). “Dynamic interaction of multiple buoyant jets.” J. Fluid Mech., 708, 539–575.
Lai, A. C. H., Yu, D., and Lee, J. H. W. (2011). “Mixing of a rosette jet group in a crossflow.” J. Hydraul. Eng., 137(8), 787–803.
Launder, B. E., and Spalding, D. B. (1974). “The numerical computation of turbulent flows.” Comput. Methods Appl. Mech. Eng., 3(2), 269–289.
Lee, J. H. W., and Chen, G. Q. (2002). “Numerical experiment on two-dimensional line thermal.” China Ocean Eng., 16(4), 453–467.
Lee, J. H. W., and Cheung, V. (1990). “Generalized Lagrangian model for buoyant jets in current.” J. Environ. Eng., 116(6), 1085–1105.
Lee, J. H. W., Cheung, V., Wang, W. P., and Cheung, S. K. B. (2000). “Lagrangian modeling and visualization of rosette outfall plumes.” Proc. of the Hydroinformatics 2000 (CD-ROM), American Geophysical Union (AGU), Washington, DC.
Lee, J. H. W., and Chu, V. H. (2003). Turbulent jets and plumes—A Lagrangian approach, Kluwer Academic Publishers, Boston.
Lee, J. H. W., and Jirka, G. H. (1980). “Multiport diffuser as line source of momentum in shallow water.” Water Resour. Res., 16(4), 695–708.
Lee, J. H. W., Rodi, W., and Wong, C. F. (1996). “Turbulent line momentum puffs.” J. Eng. Mech., 122(1), 19–29.
Lee, J. H. W., Tang, H. W., Chan, W. C., and Wilson, G. (1999).“River junction design for urban flood control: A case study.” Environmental Hydraulics: Proc., 2nd Int. Symp. on Environmental Hydraulics, J. H. W. Lee, A. W. Jayawardena, and Z. Y. Wang, eds., Balkema, Rotterdam, The Netherlands, 877–882.
Liseth, P. (1970). “Mixing of merging buoyant jets from a manifold in stagnant receiving water of uniform density.” Ph D. thesis, Univ. of California, Berkeley, CA.
Liseth, P. (1976). “Wastewater disposal by submerged manifolds.” J. Hydr. Div., 102(1), 1–14.
Pani, B. S., and Dugad, S. B. (2002). “Turbulent jets: Application of point source concept.” Research persepctives in hydraulics and water resources engineering, World Scientific, Hackensack, NJ, 1–37.
Roberts, P. J. W., and Snyder, W. H. (1993a). “Hydraulic model study for Boston outfall. I. Riser configuration.” J. Hydraul. Eng., 119(9), 970–987.
Roberts, P. J. W., and Snyder, W. H. (1993b). “Hydraulic model study for Boston outfall. II. Environmental performance.” J. Hydraul. Eng., 119(9), 988–1002.
Roberts, P. J. W., Snyder, W. H., and Baumgartner, D. J. (1989a). “Ocean outfalls. I: Submerged wastefield formation.” J. Hydraul. Eng., 115(1), 1–25.
Roberts, P. J. W., Snyder, W. H., and Baumgartner, D. J. (1989b). “Ocean outfalls. II: Spatial evolution of submerged wastefield.” J. Hydraul. Eng., 115(1), 26–48.
Roberts, P. J. W., Snyder, W. H., and Baumgartner, D. J. (1989c). “Ocean outfalls. III: Effect of diffuser design on submerged wastefield.” J. Hydraul. Eng., 115(1), 49–70.
Rouse, H. (1946). Elementary mechanics of fluids, J. Wiley & Sons, Chapman & Hall, New York, London.
Squire, H. B. (1951). “The round laminar jet.” Q. J. Mech. Appl. Math., 4(3), 321–329.
Taylor, G. I. (1958). “Flow induced by jets.” J. Aero/Space Sci., 25, 464–465.
Yu, D., Ali, M. S., and Lee, J. W. W. (2006). “Multiple tandem jets in cross-flow.” J. Hydraul. Eng., 132(9), 971–982.
Yu, I. T. S, et al. (2004). “Evidence of airborne transmission of the severe acute respiratory syndrome virus.” N. Engl. J. Med., 350(17), 1731–1739.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 138Issue 12December 2012
Pages: 1008 - 1021

History

Received: Aug 1, 2011
Accepted: Jan 13, 2012
Published online: Jan 20, 2012
Published in print: Dec 1, 2012

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Authors

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Joseph H. W. Lee, F.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Clear Water Bay, Hong Kong SAR, China; formerly, The Univ. of Hong Kong, Pokfulam, HKSAR, China. E-mail: [email protected]

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