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Discharge Estimation at the Apex of Compound Meandering Channels

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Abstract

A new method is proposed to calculate flow in a compound meandering channel by considering the momentum transfer between different zones. Vertical momentum transfer, at the horizontal interface of the lower main channel and the meander belt; and the horizontal momentum transfer, at the vertical interfaces between the meander belt and the adjoining outer floodplains. Modelling of this analytical method for the bend apex section is carried out, for a control volume of unit length. Calibration has been carried out for different laboratory channels and a natural river, demonstrating that the present model is capable of providing an adequate prediction of discharge in experimental as well as in field study. A constant value of 0.01 as the momentum transfer coefficient is verified to act at the interacting interfaces for the meandering channels. The zonal velocity for each subsection is determined, which facilitates prediction of discharge distribution.

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References

  • Bousmar D, Zech Y (1999) Momentum transfer for practical flow computation in compound channels. J Hydraul Eng 125(July):696–706

    Article  Google Scholar 

  • Chow VT (1959) Open-channel hydraulics. McGraw-Hill, New York

    Google Scholar 

  • Ervine DA, Ellis J (1987) Experimental and computational aspects of overbank floodplain flow. In: Transactions of the Royal Society of Edinburgh. Cambridge University Press, Earth Sciences

    Google Scholar 

  • Ervine DA, Willetts BB, Sellin RHJ, Lorena M (1993) Factors affecting conveyance in meandering compound flows. J Hydraul Eng 119(12):1383–1399

    Article  Google Scholar 

  • Greenhill RK, Sellin RHJ (1993) Development of a simple method to predict discharge in compound meandering channels. Proceedings of the Institution of Civil Engineers - Water Maritime and Energy 101(1):37–44

    Article  Google Scholar 

  • Huai W, Xu Z, Yang Z, Zeng Y (2008) Two dimensional analytical solution for a partially vegetated compound channel flow. Appl Math Mech 29(8):1077–1084

    Article  Google Scholar 

  • James, C. S., and Wark, J. B. (1992). Conveyance estimation for meandering channels

  • Jansen P (1979) Principles of river engineering. Pitman, London

    Google Scholar 

  • Jing H, Guo Y, Li C, Zhang J (2009) Three-dimensional numerical simulation of compound meandering open channel flow by the Reynolds stress model. Int J Numer Methods Fluids 59(8):927–943

    Article  Google Scholar 

  • Lambert MF, Myers WRC (1998) Estimating the discharge capacity in straight compound channels. Proceedings of the Institution of Civil Engineers, Water, Maritime and Energy 130(11530):84–94

    Article  Google Scholar 

  • Liu C, Wright N, Liu X, Yang K (2014) An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels. Adv Water Resour 74:26–43

    Article  Google Scholar 

  • Liu C, Shan Y, Liu X, and Yang K (2015). Method for assessing discharge in meandering compound channels. Proceedings of the Institution of Civil Engineers-Water Management, 17–29

  • Morvan H, Pender G, Wright NG, Ervine DA (2002) Three dimensional hydrodynamics of meandering compound channels. J Hydraul Eng 128(7):674–682

    Article  Google Scholar 

  • Myers WRC (1978) Momentum transfer in a compound channel. Journal of Hydraulic Research, Taylor & Francis 16(2):139–150

    Article  Google Scholar 

  • O’Sullivan JJ, Myers R, Lyness JF, Lambert MF (2003) Discharge assessment in mobile-bed compound meandering channels. Proceedings of Institution of Civil Engineers, Water, Maritime & Energy 156(WM4):313–324

    Article  Google Scholar 

  • Patra KC, Kar SK (2000) Flow interaction of Meandering River with floodplains. Journal of Hydraulic Engineering, American Society of Civil Engineers 126(8):593–604

    Article  Google Scholar 

  • Rameshwaran P, Shiono K (2007) Quasi two-dimensional model for straight overbank flows through emergent. J Hydraul Res 45(3):302–315

    Article  Google Scholar 

  • Rozovski\u\i IL (1957). Flow of water in bends of open channels. Academy of Sciences of the Ukrainian SSR

  • Schlichting H (1968). Boundary Layer Theory. McGraw Hill

  • Sellin RHJ (1964) A laboratory investigation into the interaction between the flow in the channel of a river and that over its flood plain. La Houille Blanche (7):793–802

  • Sellin, R. H. J., Giles, A., and van Beesten, D. P. (1990). “Post-implementation appraisal of a two-Stage Channel in the river Roding, Essex.” Water and Environment Journal, Blackwell Publishing Ltd, 4(2), 119–130

  • Sellin RHJ, Ervine DA, Willetts BB (1993) Behaviour of meandering two-stage channels. Proceedings of the Institution of Civil Engineers-Water Maritime and Energy 101(2):99–111

    Article  Google Scholar 

  • Shiono K, Muto Y (1998) Complex flow mechanisms in compound meandering channels with overbank flow. J Fluid Mech 376:221–261

    Article  Google Scholar 

  • Shiono K, Al-Romaih JS, Knight DW (1999) Stage-Discharge Assessment in Compound Meandering Channels. J Hydraul Eng 125(1):66–77

    Article  Google Scholar 

  • Shiono K, Chan TL, Spooner J, Rameshwaran P, Chandler JH (2009) The effect of floodplain roughness on flow structures, bedforms and sediment transport rates in meandering channels with overbank flows: part I. J Hydraul Res 47(1):5–19

    Article  Google Scholar 

  • Spooner J, Shiono K (2003) Modelling of meandering channels for overbank flow. Water & Maritime Engineering 156(WM3):225–233

    Article  Google Scholar 

  • Toebes GH, Sooky AA (1967) Hydraulics of meandering rivers with flood plains. Journal of the Waterways and Harbors Division 93(2):213–236

    Google Scholar 

  • US Army, C. of E (1956). “Hydraulic capacity of meandering channels in straight floodways.” Waterways Experiment Station, Vicksburg, Mississippi

  • Willetts BB, Hardwick RI (1993) Stage dependency for overbank flow in meandering channels. Proc Inst Civ Eng Water Marit Energy 101:45–54

    Article  Google Scholar 

  • Wormleaton PR (1996). Floodplain secondary circulation as a mechanism for flow and shear stress redistribution in straight compound channels. Coherent flow structures in open channels

  • Wormleaton PR, Allen J, Hadjipanos P (1982) Discharge assessment in compound channel flow. Journal of the Hydraulics Division, American Society of Civil Engineers 108(9):975–994

    Google Scholar 

  • Yang K, Liu X, Cao S, Huang E (2013) Stage-discharge prediction in compound channels. J Hydraul Eng 140(4):6014001

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Civil Engineering, National Institute of Technology, Rourkela, Odisha, 769008, India

    Arpan Pradhan & Kishanjit K. Khatua

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  1. Arpan Pradhan
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  2. Kishanjit K. Khatua
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Correspondence to Arpan Pradhan.

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Pradhan, A., Khatua, K.K. Discharge Estimation at the Apex of Compound Meandering Channels. Water Resour Manage 33, 3469–3483 (2019). https://doi.org/10.1007/s11269-019-02309-5

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  • DOI: https://doi.org/10.1007/s11269-019-02309-5

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