TECHNICAL PAPERS
May 1, 2001

Role of Bed Discordance at Asymmetrical River Confluences

Publication: Journal of Hydraulic Engineering
Volume 127, Issue 5

Abstract

This paper studies laboratory open-channel confluences using a 3D, elliptic solution of the Reynolds-averaged Navier-Stokes equations, including a method for approximating the effects of water surface elevation patterns and a renormalization group modified form of the k-ε turbulence model. The model was tested by comparison with laboratory measurements of an asymmetric tributary junction. This suggests that although the model is unable to reproduce the quantitative detail (notably upwelling velocity magnitudes) of the flow structures as measured in laboratory experiments, statistically significant aspects of the experimental observations are reproduced. The model is used to (1) describe and explain the characteristic flow structures that form in a confluence with one of the tributaries angled at 45°, both with and without an elevation difference (bed discordance) in the angled tributary; and (2) investigate the relative importance of junction angles (30°, 45°, and 60°), bed discordance, and ratio of mean velocities in the tributary channels upon flow structures. This shows that bed discordance significantly enhances secondary circulation because of the effects of flow separation in the lee of the bed step, which significantly increases lateral pressure gradients at the bed and reduces water surface superelevation in the center of the tributary and water surface depression at the downstream junction corner. Extension to consideration of a number of junction angles, levels of bed discordance, and velocity ratios suggests that a small (10%) reduction in tributary depth can significantly increase the intensity of secondary circulation, albeit in a relatively localized manner. Simulations involving a numerical tracer illustrate the importance of bed discordance for mixing between the two flows and question the use of simple 2D parameterizations of mixing processes that do not consider bed discordance when the latter is present.

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References

1.
Ashmore, P. E. ( 1993). “Anabranch confluence kinetics and sedimentation processes in gravel-braided streams.” Braided rivers, Spec. Publ. 75. J. L. Best and C. S. Bristow, eds., Geological Society, London, 129–146.
2.
Ashmore, P. E., and Parker, G. ( 1983). “Confluence scour in coarse braided streams.” Water Resour. Res., 19, 392–402.
3.
Best, J. L. ( 1986). “The morphology of river channel confluences.” Progress in Phys. Geography, 10, 157–174.
4.
Best, J. L. ( 1987). “Flow dynamics at river channel confluences: Implications for sediment transport and bed morphology.” Recent developments in fluvial sedimentology, SEPM Spec. Publ. 39, F. G. Ethridge, R. M. Flores, and M. D. Harvey, eds., SEPM, Tulsa, 27–35.
5.
Best, J. L. ( 1988). “Sediment transport and bed morphology at river channel confluences.” Sedimentology, 35, 481–498.
6.
Best, J. L., and Reid, I. (1984). “Separation zone at open-channel junctions.”J. Hydr. Engrg., ASCE, 110(11), 1588–1594.
7.
Best, J. L., and Roy, A. G. ( 1991). “Mixing-layer distortion at the confluence of channels of different depth.” Nature, 350, 411–413.
8.
Biron, P., Best, J. L., and Roy, A. G. (1996a). “Effects of bed discordance on flow dynamics at open channel confluences.”J. Hydr. Engrg., ASCE, 122(12), 676–682.
9.
Biron, P. M., De Serres, B., Roy, A. G., and Best, J. L. ( 1993a). “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, 197–214.
10.
Biron, P. M., Roy, A. G., and Best, J. L. ( 1995). “A scheme for resampling, filtering and subsampling unevenly spaced Laser Doppler Anemometer data.” Math. Geol., 27(6), 731–748.
11.
Biron, P. M., Roy, A. G., and Best, J. L. ( 1996b). “The turbulent flow structure at concordant and discordant open channel confluences.” Experiments in Fluids, 21, 437–446.
12.
Biron, P. M., Roy, A. G., Best, J. L., and Boyer, C. J. ( 1993b). “Bed morphology and sedimentology at the confluence of unequal depth channels.” Geomorphology, 8, 115–129.
13.
Bradbrook, K. F. ( 1999). “Numerical, field and laboratory studies of three-dimensional flow structures at river channel confluences.” PhD thesis, University of Cambridge, Cambridge, U.K.
14.
Bradbrook, K. F., Biron, P., Lane, S. N., Richards, K. S., and Roy, A. G. ( 1998). “Investigation of controls on secondary circulation and mixing processes in a simple confluence geometry using a three-dimensional numerical model.” Hydrological Processes, 12, 1371–1396.
15.
Bridge, J. S. ( 1993). “The interaction between channel geometry, water flow, sediment transport and deposition in braided rivers.” Braided rivers, Spec. Publ. 75, J. L. Best and C. S. Bristow, eds., Geological Society, London, 13–75.
16.
Chu, V. H., and Barbarutsi, S. (1988). “Confinement and bed-friction effects in shallow turbulent mixing layers.”J. Hydr. Engrg., ASCE, 114(10), 1257–1274.
17.
Dietrich, W. E., and Smith, J. D. ( 1983). “Influence of the point bar on flow through curved channels.” Water Resour. Res., 19, 1173–1192.
18.
De Serres, B., Roy, A. G., Biron, P. M., and Best, J. L. ( 1999). “Three-dimensional flow structure at a river channel confluence with discordant beds.” Geomorphology, 26, 313–335.
19.
Gaudet, J. M., and Roy, A. G. ( 1995). “Effect of bed morphology on flow mixing length at river confluences.” Nature, 373(6510), 138–139.
20.
Hodkinson, A., and Ferguson, R. I. ( 1998). “Numerical modelling of separated flows in river bends: Model testing and experimental investigation of geometrical controls on the extent of flow separation at the concave bank.” Hydrological Processes, 11, 1323–1338, U.K.
21.
Kadota, A., and Nezu, I. (1999). “Three-dimensional structure of space-time correlation on coherent vortices generated behind dune crest.”J. Hydr. Res., Delft, The Netherlands, 37, 59–80.
22.
Kennedy, B. A. ( 1984). “On Playfair's law of accordant junctions.” Earth Surface Processes and Landforms, 9, 153–173.
23.
Launder, L. M., and Spalding, D. B. ( 1974). “The numerical computation of turbulent flows.” Comp. Methods in Appl. Mech. and Engrg., 3, 269–289.
24.
Leschziner, M. A., and Rodi, W. (1979). “Calculation of strongly curved open channel flow.”J. Hydr. Div., ASCE, 105(10), 1297–1314.
25.
Lien, F. S., and Leschziner, M. A. ( 1994). “Application of an RNG turbulence model to flow over a backwards-facing step.” Comp. and Fluids, 23(8), 983–1004.
26.
McGuirk, J., and Rodi, W. ( 1978). “A depth-averaged mathematical model for the near field of side discharges into open channel flow.” J. Fluid Mech., 86, 861–871.
27.
McLelland, S. J., Ashworth, P. J., and Best, J. L. ( 1996). “The origin and downstream development of coherent flow structures at channel junctions.” Coherent flow structures in open channels, P. J. Ashworth, S. Bennett, J. L. Best, and S. M. McLelland, eds., Wiley, Chichester, 459–490.
28.
Modi, P. N., Dandekar, M. M., and Ariel, P. D. (1981). “Conformal mapping for channel junction flow.”J. Hydr. Div., ASCE, 107(12), 1713–1733.
29.
Mosley, M. P. ( 1976). “An experimental study of channel confluences.” J. Geol., 84, 535–561.
30.
Odgaard, A. J., and Bergs, M. A. ( 1988). “Flow processes in a curved alluvial channel.” Water Resour. Res., 24, 45–56.
31.
Ouillon, S., and Dartus, D. (1997). “Three-dimensional computation of flow around groyne.”J. Hydr. Engrg., ASCE, 123(11), 962–970.
32.
Pantankar, S. V., and Spalding, D. B. ( 1972). “A calculation procedure for heat, mass and momentum transport in three-dimensional parabolic flows.” Int. J. Heat and Mass Transfer, 15, 1782.
33.
Rhoads, B. L. ( 1996). “Mean structure of transport-effective flows at an asymmetrical confluence when the main stream is dominant.” Coherent flow structures in open channels, P. J. Ashworth, S. Bennett, J. L. Best, and S. M. McLelland, eds., Wiley, Chichester, 459–490.
34.
Rhoads, B. L., and Kenworthy, S. T. ( 1995). “Flow structure at an asymmetrical stream confluence.” Geomorphology, 11, 273–293.
35.
Rhoads, B. L., and Kenworthy, S. T. ( 1998). “Time-averaged flow structure in the central region of a stream confluence.” Earth Surface Processes and Landforms, 23, 171–191.
36.
Richards, K. S. ( 1980). “A note on change in geometry at tributary junctions.” Water Resour. Res., 16, 241–244.
37.
Roy, A. G., and Roy, R. ( 1988). “Changes in channel size at river confluences with coarse bed material.” Earth Surface Processes and Landforms, 13, 77–84.
38.
Smith, R., and Daish, N. C. ( 1991). “Dispersion far downstream of a river junction.” Phys. Fluids A, 3, 1102–1109.
39.
Spalding, D. B. ( 1985). “The computation of flow around ships with allowance for free-surface and density-gradient effects.” Proc., 1st Intercontinental Symp. on Maritime Simulation.
40.
Taylor, E. H., Jr. ( 1944). “Flow characteristics at open channel junctions.” Trans. ASCE, 109, 893–912.
41.
Weerakoon, S. B., Kawahara, Y., and Tamai, N. ( 1991). “Three-dimensional flow structure in channel confluences of rectangular section.” Proc., 25th IAHR Congr. A, International Association for Hydraulic Research, Madrid, 373–380.
42.
Weerakoon, S. B., and Tamai, N. ( 1989). “Three-dimensional calculation of flow in river confluences using boundary fitted co-ordinates.” J. Hydroscience and Hydr. Engrg., 7, 51–62.
43.
Yakhot, V., and Orszag, S. A. ( 1986). “Renormalization group analysis of turbulence.” J. Scientific Computing, 1(3).
44.
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. and Fluids A, 4(7), 1510–1520.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 127Issue 5May 2001
Pages: 351 - 368

History

Received: Aug 18, 1998
Published online: May 1, 2001
Published in print: May 2001

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Authors

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Grad. Engr., Mott McDonald plc, Station Rd., Cambridge, U.K.; presently, JBA Consulting, Broughton Hall, Skipton, North Yorkshire, U.K.
Prof., School of Geography, Univ. of Leeds, Leeds, LS2 9JT, U.K. (corresponding author). E-mail: [email protected]
Prof., Dept. of Geography, Univ. of Cambridge, Downing Place, Cambridge CB2 3EN, U.K.
Asst. Prof., Concordia Univ., 1455 de Maisonneuve Blvd. West, Montréal, Québec, Canada H3C 3J7.
Prof., Dépt. of Géographie, Université de Montréal, CP 6128, Centre-Ville, Montréal, Québec, Canada H3C 3J7.

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