TECHNICAL PAPERS
Feb 19, 2004

Three-Dimensional Numerical Modeling of Mixing at River Confluences

Publication: Journal of Hydraulic Engineering
Volume 130, Issue 3

Abstract

Lateral mixing of a pollutant is considered as a slow process that is usually complete within 100–300 river widths. Recent studies on flow dynamics at river confluences revealed that lateral mixing can be markedly enhanced when the tributary channel is shallower than the main channel. This study uses a three-dimensional model to examine mixing processes immediately downstream of confluences as well as further downstream in the mainstream. Simulations are presented for a concordant and discordant laboratory junction and a field confluence for a low and a high flow condition. The decrease in standard deviation at a cross section of a tracer over a distance of 5 channel widths is 30% for discordant beds but only 10% for concordant beds in the laboratory simulation. At the natural site, bed discordance is more important at the low flow than at the high flow with corresponding decreases in the standard deviation of 31 and 18% over 3.5 channel widths. Mixing is completed after a distance of 25 and 37 channel widths for the low and high flow conditions, respectively. Further downstream, mixing is mainly affected by planform curvature of the channel.

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References

Best, J. L., and Roy, A. G.(1991). “Mixing-layer distortion at the confluence of channels of different depth.” Nature (London), 350, 411–413.
Biron, P., Best, J. L., and Roy, A. G.(1996b). “Effects of bed discordance on flow dynamics at open channel confluences.” J. Hydraul. Eng., 122(12), 676–682.
Biron, P., De Serres, B., Roy, A. G., and Best, J. L. (1993). “Shear layer turbulence at an unequal depth channel confluence.” Turbulence: Perspectives on flow and sediment transport, N.J. Clifford, J. R. French, and J. Hardisty, eds., Wiley, Chichester, U.K., 197–213.
Biron, P. M., Richer, A., Kirkbride, A. K., Roy, A. G., and Han, S.(2002). “Spatial patterns of water surface topography at a river confluence.” Earth Surf. Processes Landforms, 27(9), 913–928.
Biron, P., Roy, A. G., and Best, J. L.(1996a). “The turbulent flow structure at concordant and discordant open channel confluences.” Exp. Fluids, 21, 437–446.
Booij, R., and Tukker, J.(2001). “Integral model of shallow mixing layers.” J. Hydraul. Res., 39(2), 169–179.
Boxall, J. B., and Guymer, I.(2001). “Estimating transverse mixing coefficients.” Proc. Inst. Civ. Eng., Waters. Maritime Energ., 148(4), 263–275.
Boxall, J. G., Guymer, I., and Marion, A.(2003). “Transverse mixing in sinuous natural open channel flows.” J. Hydraul. Res., 41(2), 153–165.
Bradbrook, K. F. (1999). “Numerical, field and laboratory studies of three-dimensional flow structures at river channel confluences.” PhD thesis, Univ. of Cambridge, Cambridge, U.K.
Bradbrook, K. F., Biron, P. M., Lane, S. N., Richards, K. S., and Roy, A. G.(1998). “Investigation of controls on secondary circulation in a simple confluence geometry using a three-dimensional numerical model.” Hydrolog. Process., 12, 1371–1396.
Bradbrook, K. F., Lane, S. N., and Richards, K. S.(2000b). “Numerical simulation of three-dimensional, time-averaged flow structure at river channel confluences.” Water Resour. Res., 36(9), 2731–2746.
Bradbrook, K. F., Lane, S. N., Richards, K. S., Biron, P. M., and Roy, A. G.(2000a). “Large eddy simulation of periodic flow characteristics at river channel confluences.” J. Hydraul. Res., 38, 207–215.
Bradbrook, K. F., Lane, S. N., Richards, K. S., Biron, P. M., and Roy, A. G.(2001). “Role of bed discordance at asymmetrical river confluences.” J. Hydraul. Eng., 127(5), 351–368.
Chu, V. H., and Babarutsi, S.(1988). “Confinement and bed-friction effects in shallow turbulent mixing layers.” J. Hydraul. Eng., 114(10), 1257–1274.
Deng, Z.-Q., Singh, V. P., and Bengtsson, L.(2001). “Longitudinal dispersion coefficient in straight rivers.” J. Hydraul. Eng., 127(11), 919–927.
De Serres, B., Roy, A. G., Biron, P. M., and Best, J. L.(1999). “Three-dimensional structure of flow at a confluence of river channels with discordant beds.” Geomorphology, 26, 313–335.
Gaudet, J. M. (1995). “Le mélange des écoulements à l’aval des confluents de cours d’eau.” PhD thesis, Univ. of Montréal, Montreal (in French).
Gaudet, J. M., and Roy, A. G.(1995). “Effect of bed morphology on flow mixing length at river confluences.” Nature (London), 373(6510), 138–139.
Heard, S. B., Gienapp, C. B., Lemire, J. F., and Heard, K. S.(2001). “Transverse mixing of transported material in simple and complex stream reaches.” Hydrobiologia, 464, 207–218.
Huang, J. C., Weber, L. J., and Lai, Y. G.(2002). “Three-dimensional numerical study of flows in open-channel junctions.” J. Hydraul. Eng., 128(3), 268–280.
Jobson, H. E.(1997). “Predicting traveltime and dispersion in rivers and streams.” J. Hydraul. Eng., 123(11), 971–978.
Jobson, H. E.(2001). “Predicting river travel time from hydraulic characteristics.” J. Hydraul. Eng., 127(11), 911–918.
Lane, S. N., Bradbrook, K. F., Richards, K. S., El-Hames, A., Biron, P. M., and Roy, A. G.(1999). “The application of computational fluid dynamics to natural river channels: Three-dimensional versus two-dimensional approaches.” Geomorphology, 29, 1–20.
Li, S., and Morioka, T.(1999). “Optimal allocation of waste loads in a river with probabilistic tributary flow under transverse mixing.” Water Environ. Res., 71(2), 156–162.
Ouillon, S., and Dartus, D.(1997). “Three-dimensional computation of flow around groyne.” J. Hydraul. Eng., 123(11), 962–970.
Rhoads, B. L., and Sukhodolov, A. N.(2001). “Field investigation of three-dimensional flow structure at stream confluences: 1. Thermal mixing and time-averaged velocities.” Water Resour. Res., 37(9), 2393–2410.
Roy, A. G., Biron, P. M., Buffin-Bélanger, T., and Levasseur, M.(1999). “Combined visual and quantitative techniques in the study of natural turbulent flows.” Water Resour. Res., 35, 871–877.
Rutherford, J. C. (1994). River mixing, Wiley, New York.
Smith, R., and Daish, N. C.(1991). “Dispersion far downstream of a river junction.” Phys. Fluids A, 3, 1102–1109.
Uijttewaal, W. S. J., and Tukker, J.(1998). “Development of quasi two-dimensional structures in a shallow free-surface mixing layer.” Exp. Fluids, 24, 192–200.
Weber, L. J., Shumate, E. D., and Mawer, N.(2001). “Experiments on flow at a 90° open-channel junction.” J. Hydraul. Eng., 127(5), 340–350.
Weerakoon, S. B., Kawahara, Y., and Tamai, N. (1991). “Three-dimensional flow structure in channel confluences of rectangular section.” Proc., 25th IAHR Congress A., International Association for Hydraulic Research, Madrid, Spain, 373–380.
Yakhot, V., Orzag, S. A., Thangam, S., Gatshi, T. B., and Speziale, C. G.(1992). “Development of a turbulence model for shear flow by a double expansion technique.” Phys. Fluids A, 4(7), 1510–1520.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 130Issue 3March 2004
Pages: 243 - 253

History

Received: Sep 26, 2002
Accepted: Aug 6, 2003
Published online: Feb 19, 2004
Published in print: Mar 2004

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Authors

Affiliations

Pascale M. Biron
Assistant Professor, Dept. of Geography, Concordia Univ., 1455 De Maisonneuve Blvd. W., Montréal PQ, Canada H3G 1M8.
Amruthur S. Ramamurthy, F.ASCE
Professor, Dept. of Building, Civil and Environmental Engineering, Concordia Univ., 1455 De Maisonneuve Blvd. W., Montréal PQ, Canada H3G 1M8.
Sangsoo Han
PhD student, Dept. of Building, Civil and Environmental Engineering, Concordia Univ., 1455 De Maisonneuve Blvd. W., Montréal PQ, Canada H3G 1M8.

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