High Resolution Observations of an Outer-Bank Cell of Secondary Circulation in a Natural River Bend
Publication: Journal of Hydraulic Engineering
Volume 145, Issue 5
Abstract
Secondary circulation is a mechanism that increases vertical exchange between the horizontal layers in open channels. Vertical shear in curved flows induces secondary circulation in the plane normal to the primary flow direction. Models for secondary circulation have been developed that include the nonlinear advection terms in the momentum equations. A consequence of this is that secondary circulation deforms the vertical profile of the primary flow. This in turn reduces the vertical shear of the primary flow thus reducing the driving force of secondary circulation. Observations from a bend of moderate curvature in the Clutha river show flattening and deformation of the vertical profile of the primary flow due to the advection of momentum by secondary circulation. The observations are on a much larger river than previous studies so the increase in scale makes these observations robust. A counterrotating outer-bank cell of secondary circulation is associated with this deformation. A visual explanation for this outer-bank cell is proposed based around the forces of plane equilibrium and the deformation of the vertical profile of the primary flow. A suggested requirement for a counterrotating outer-bank cell is that the depth average velocity must be found at two depth locations on the vertical profile of the primary flow. The width of this outer-bank cell is twice that of previous flume experiments, perhaps due to outer-bank roughness. The strength of this outer-bank cell is approximately 0.5 of the main cell. Calculation of a bend parameter classifies the curvature for this survey site as weak to moderate. The deformation of the vertical profile of the primary flow is greater than expected for a bend parameter of , perhaps due to the increase in size and strength of the outer-bank cell.
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Acknowledgments
The authors thank Paul “Bosun” Meredith, skipper of the Naiad, for assistance with the field work.
References
Bathurst, J., C. Thorne, and R. Hey. 1977. “Direct measurements of secondary currents in river bends.” Nature 269 (5628): 504–506. https://doi.org/10.1038/269504a0.
Blanckaert, K. 2009. “Saturation of curvature-induced secondary flow, energy losses, and turbulence in sharp open-channel bends: Laboratory experiments, analysis, and modeling.” J. Geophys. Res. 114 (F3): F03015. https://doi.org/10.1029/2008JF001137.
Blanckaert, K. 2011. “Hydrodynamic processes in sharp meander bends and their morphological implications.” J. Geophys. Res. 116 (F1): F01003. https://doi.org/10.1029/2010JF001806.
Blanckaert, K., and H. De Vriend. 2003. “Nonlinear modeling of mean flow redistribution in curved open channels.” Water Resour. Res. 39 (12): 1375. https://doi.org/10.1029/2003WR002068.
Blanckaert, K., and H. De Vriend. 2004. “Secondary flow in sharp open-channel bends.” J. Fluid Mech. 498: 353–380. https://doi.org/10.1017/S0022112003006979.
Blanckaert, K., A. Duarte, Q. Chen, and A. J. Schleiss. 2012. “Flow processes near smooth and rough (concave) outer banks in curved open channels.” J. Geophys. Res. Earth Surf. 117 (F4). https://doi.org/10.1029/2012JF002414.
Blanckaert, K., and W. H. Graf. 2001. “Mean flow and turbulence in open-channel bend.” J. Hydraul. Eng. 127 (10): 835–847. https://doi.org/10.1061/(ASCE)0733-9429(2001)127:10(835).
Blanckaert, K., and W. H. Graf. 2004. “Momentum transport in sharp open-channel bends.” J. Hydraul. Eng. 130 (3): 186–198. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:3(186).
Dean, W., and J. Hurst. 1959. “Note on the motion of fluid in a curved pipe.” Mathematika 6 (1): 77–85. https://doi.org/10.1112/S0025579300001947.
De Vriend, H. 1981. “Velocity redistribution in curved rectangular channels.” J. Fluid Mech. 107: 423–439. https://doi.org/10.1017/S0022112081001833.
Dietrich, W., and J. Smith. 1983. “Influence of the point bar on flow through curved channels.” Water Resour. Res. 19 (5): 1173–1192. https://doi.org/10.1029/WR019i005p01173.
Farhadi, A., C. Sindelar, M. Tritthart, M. Glas, K. Blanckaert, and H. Habersack. 2018. “An investigation on the outer bank cell of secondary flow in channel bends.” J. Hydro-Environ. Res. 18: 1–11. https://doi.org/10.1016/j.jher.2017.10.004.
Ferguson, R. I., D. R. Parsons, S. N. Lane, and R. J. Hardy. 2003. “Flow in meander bends with recirculation at the inner bank.” Water Resour. Res. 39 (11). https://doi.org/10.1029/2003WR001965.
Garrett, C., and R. Loucks. 1976. “Upwelling along the Yarmouth shore of Nova Scotia.” J. Fish. Res. Board Can. 33 (1): 116–117. https://doi.org/10.1139/f76-013.
Geyer, W. 1993. “Three-dimensional tidal flow around headlands.” J. Geophys. Res. Oceans 98 (C1): 955–966. https://doi.org/10.1029/92JC02270.
Geyer, W., and R. Signell. 1990. “Measurements of tidal flow around a headland with a shipboard acoustic Doppler current profiler.” J. Geophys. Res. 95 (C3): 3189–3197. https://doi.org/10.1029/JC095iC03p03189.
Kalkwijk, J., and R. Booij. 1986. “Adaptation of secondary flow in nearly-horizontal flow.” J. Hydraul. Res. 24 (1): 19–37. https://doi.org/10.1080/00221688609499330.
Kashyap, S., G. Constantinescu, C. D. Rennie, G. Post, and R. Townsend. 2012. “Influence of channel aspect ratio and curvature on flow, secondary circulation, and bed shear stress in a rectangular channel bend.” J. Hydraul. Eng. 138 (12): 1045–1059. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000643.
Markham, A., and C. Thorne. 1992. “Geomorphology of gravel-bed river bends.” In Dynamics of gravel-bed rivers, 433–450. Chischester, UK: Wiley.
Nikora, V., and A. G. Roy. 2012. “Secondary flows in rivers: Theoretical framework, recent advances, and current challenges.” In Gravel-bed rivers: Processes, tools, environments, 3–22. Chichester, UK: Wiley.
Otago Regional Council. 2016. Natural hazards on the Clutha delta, Otago. Dunedin, New Zealand: Otago Regional Council.
Papanicolaou, A. N., M. Elhakeem, and R. Hilldale. 2007. “Secondary current effects on cohesive river bank erosion.” Water Resour. Res. 43 (12). https://doi.org/10.1029/2006WR005763.
Papanicolaou, A. T. N. 2012. “Aspects of secondary flow in open channels: A critical literature review.” In Gravel-bed rivers: Processes, tools, environments, 31–35. Chichester, UK: Wiley.
Parsapour-Moghaddam, P., and C. Rennie. 2017. “Hydrostatic versus nonhydrostatic hydrodynamic modelling of secondary flow in a tortuously meandering river: Application of Delft3D.” River Res. Appl. 33 (9): 1400–1410. https://doi.org/10.1002/rra.3214.
Rodriguez, J. F., F. A. Bombardelli, M. H. Garca, K. M. Frothingham, B. L. Rhoads, and J. D. Abad. 2004. “High-resolution numerical simulation of flow through a highly sinuous river reach.” Water Resour. Manage. 18 (3): 177–199. https://doi.org/10.1023/B:WARM.0000043137.52125.a0.
Rozovskii, I. 1957. Flow of water in bends of open channels. Jerusalem: Israel Program for Scientific Translations.
Russell, P., and R. Vennell. 2014. “Distribution of vertical velocity inferred from secondary flow in a curved tidal channel.” J. Geophys. Res. Oceans 119 (9): 6010–6023. https://doi.org/10.1002/2014JC010003.
Russell, P., and R. Vennell. 2017. “High-resolution observations of secondary circulation and tidally synchronized upwelling around a coastal headland.” J. Geophys. Res. Oceans 122 (2): 890–913. https://doi.org/10.1002/2016JC012117.
Thorne, C., and R. Hey. 1979. “Direct measurements of secondary currents at a river inflexion point.” Nature 280 (5719): 226–228. https://doi.org/10.1038/280226a0.
Thorne, C., L. Zevenbergen, J. Pitlick, S. Rais, J. Bradley, and P. Julien. 1985. “Direct measurements of secondary currents in a meandering sand-bed river.” Nature 315 (6022): 746–747. https://doi.org/10.1038/315746a0.
Van Balen, W., W. Uijttewaal, and K. Blanckaert. 2009. “Large-eddy simulation of a mildly curved open-channel flow.” J. Fluid Mech. 630 (1): 413–442. https://doi.org/10.1017/S0022112009007277.
Vennell, R., and R. Beatson. 2009. “A divergence-free spatial interpolator for large sparse velocity data sets.” J. Geophys. Res. 114 (C10): C10024. https://doi.org/10.1029/2008JC004973.
Vennell, R., and C. Old. 2007. “High-resolution observations of the intensity of secondary circulation along a curved tidal channel.” J. Geophys. Res. Oceans 112 (C11): C11008. https://doi.org/10.1029/2006JC003764.
Wei, M., K. Blanckaert, J. Heyman, D. Li, and A. J. Schleiss. 2016. “A parametrical study on secondary flow in sharp open-channel bends: Experiments and theoretical modelling.” J. Hydro-Environ. Res. 13: 1–13. https://doi.org/10.1016/j.jher.2016.04.001.
Wilson, C., J. Boxall, I. Guymer, and N. Olsen. 2003. “Validation of a three-dimensional numerical code in the simulation of pseudo-natural meandering flows.” J. Hydraul. Eng. 129 (10): 758–768. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:10(758).
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©2019 American Society of Civil Engineers.
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Received: Dec 5, 2017
Accepted: Oct 4, 2018
Published online: Feb 27, 2019
Published in print: May 1, 2019
Discussion open until: Jul 27, 2019
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