Water Resources Management

, Volume 33, Issue 10, pp 3469–3483 | Cite as

Discharge Estimation at the Apex of Compound Meandering Channels

  • Arpan PradhanEmail author
  • Kishanjit K. Khatua


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.


Meandering channel Discharge distribution Momentum transfer coefficient Stage-discharge 


Compliance with Ethical Standards

Conflict of Interest



  1. Bousmar D, Zech Y (1999) Momentum transfer for practical flow computation in compound channels. J Hydraul Eng 125(July):696–706CrossRefGoogle Scholar
  2. Chow VT (1959) Open-channel hydraulics. McGraw-Hill, New YorkGoogle Scholar
  3. 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 SciencesGoogle Scholar
  4. Ervine DA, Willetts BB, Sellin RHJ, Lorena M (1993) Factors affecting conveyance in meandering compound flows. J Hydraul Eng 119(12):1383–1399CrossRefGoogle Scholar
  5. 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):37–44CrossRefGoogle Scholar
  6. 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):1077–1084CrossRefGoogle Scholar
  7. James, C. S., and Wark, J. B. (1992). Conveyance estimation for meandering channels Google Scholar
  8. Jansen P (1979) Principles of river engineering. Pitman, LondonGoogle Scholar
  9. 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):927–943CrossRefGoogle Scholar
  10. 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):84–94CrossRefGoogle Scholar
  11. 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 74:26–43CrossRefGoogle Scholar
  12. 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, 17–29Google Scholar
  13. Morvan H, Pender G, Wright NG, Ervine DA (2002) Three dimensional hydrodynamics of meandering compound channels. J Hydraul Eng 128(7):674–682CrossRefGoogle Scholar
  14. Myers WRC (1978) Momentum transfer in a compound channel. Journal of Hydraulic Research, Taylor & Francis 16(2):139–150CrossRefGoogle Scholar
  15. 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):313–324CrossRefGoogle Scholar
  16. Patra KC, Kar SK (2000) Flow interaction of Meandering River with floodplains. Journal of Hydraulic Engineering, American Society of Civil Engineers 126(8):593–604CrossRefGoogle Scholar
  17. Rameshwaran P, Shiono K (2007) Quasi two-dimensional model for straight overbank flows through emergent. J Hydraul Res 45(3):302–315CrossRefGoogle Scholar
  18. Rozovski\u\i IL (1957). Flow of water in bends of open channels. Academy of Sciences of the Ukrainian SSRGoogle Scholar
  19. Schlichting H (1968). Boundary Layer Theory. McGraw HillGoogle Scholar
  20. 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):793–802Google Scholar
  21. 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), 119–130Google Scholar
  22. 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):99–111CrossRefGoogle Scholar
  23. Shiono K, Muto Y (1998) Complex flow mechanisms in compound meandering channels with overbank flow. J Fluid Mech 376:221–261CrossRefGoogle Scholar
  24. Shiono K, Al-Romaih JS, Knight DW (1999) Stage-Discharge Assessment in Compound Meandering Channels. J Hydraul Eng 125(1):66–77CrossRefGoogle Scholar
  25. 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):5–19CrossRefGoogle Scholar
  26. Spooner J, Shiono K (2003) Modelling of meandering channels for overbank flow. Water & Maritime Engineering 156(WM3):225–233CrossRefGoogle Scholar
  27. Toebes GH, Sooky AA (1967) Hydraulics of meandering rivers with flood plains. Journal of the Waterways and Harbors Division 93(2):213–236Google Scholar
  28. US Army, C. of E (1956). “Hydraulic capacity of meandering channels in straight floodways.” Waterways Experiment Station, Vicksburg, Mississippi Google Scholar
  29. Willetts BB, Hardwick RI (1993) Stage dependency for overbank flow in meandering channels. Proc Inst Civ Eng Water Marit Energy 101:45–54CrossRefGoogle Scholar
  30. 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 Google Scholar
  31. 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):975–994Google Scholar
  32. Yang K, Liu X, Cao S, Huang E (2013) Stage-discharge prediction in compound channels. J Hydraul Eng 140(4):6014001CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringNational Institute of TechnologyRourkelaIndia

Personalised recommendations