Abstract
This paper examines the use of lateral distribution method (LDM) and modified LDM in the computation of depth-averaged velocity distributions and boundary shear stress distributions of compound channel having converging floodplain. In two-stage channel flow, the main channel is influenced by the adjoining floodplains and the conveyance capacity is normally decreased. The many-sided quality of the issue rises progressively when dealing with a compound channel with non-prismatic floodplains. Due to change in floodplain geometry, water streaming on the floodplain now traverses in the main channel, resulting in increased interaction and momentum exchange. This additional exchange in momentum should also be considered in the flow modelling. In this research work, the modified LDM equation considers friction slope and LDM equation is discretized by finite difference scheme, and for solving those equations, MATLAB tool is used. Depth-averaged velocity distributions and boundary shear stress distributions obtained from LDM and MLDM are compared with the experimental data sets.
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References
 P.R. Wormleaton, Determination of discharge in compound channels using the dynamic equation for lateral velocity distribution. In: Proceedings of the International Conference on Fluvial Hydraulics, pp. 98–103 Belgrade, Hungary (1988)
D.W. Knight, K. Shiono, J. Pitt, Prediction of depth mean velocity and discharge in natural rivers with the overbank flow. In: Proceedings of the International Conference on Hydraulic and Environmental Modelling of Coastal, Estuarine and River Waters, pp. 419–428. Gower Publishing (1989)
K.K. Khatua, K.C. Patra, P.K. Mohanty, Stage-discharge prediction for straight and smooth compound channels with wide floodplains. J. Hydraul. Eng. 138(1), 93–99 (2011) B. Rezaei, D.W. Knight, Application of the Shiono and Knight Method in compound channel with non-prismatic floodplains. J. Hydraul. Res. 47(6), 716–726 (2009)
K.K. Khatua, Interaction of flow and estimation of discharge in two-stage meandering compound channels. Doctoral dissertation, (2007)
D.W. Knight, K. Shiono, Turbulence measurements in a shear layer region of a compound channel. J. Hydraul. Res. IAHR 28(2), 141–156 (1990)
K. Devi, K.K. Khatua, B.S. Das, A numerical solution for depth-averaged velocity distribution in an open channel flow. ISH J. Hydraul. Eng. 1–10 (2016)
K. Shiono, D.W. Knight, Turbulent open-channel flows with variable depth across the channel. J. Fluid Mech. 222, 617–646 (1991)
D.A. Ervine, K. Babaeyan-Koopaei, R.H.J. Sellin, Two-dimensional solution for straight and meandering overbank flows. J. Hydraul. Eng. 126(9), 653–669 (2000)
B. Rezaei, Overbank flow in compound channels with prismatic and non-prismatic floodplains. PhD Thesis, University of Birmingham, U.K (2006)
J.B. Wark, P.G. Samuels, D.A. Ervine, A practical method of estimating velocity and discharge in compound channels. In: Proceedings of an International Conference on River FloodHydraulics, Wiley, Chichester, pp. 163–172 (1990)
D. Bousmar, Y. Zech, Velocity distribution in non-prismatic compound channels. Proceedings of the Institution of Civil Engineers-Water Management 157 (2):99–108 (2004)
B. Rezaei, D.W. Knight, Application of the Shiono and Knight Method in compound channel with non-prismatic floodplains. J. Hydraul. Res. 47(6), 716–726 (2009)
B. S. Das,  K. K. Khatua, K. Devi, Numerical solution of depth-averaged velocity and boundary shear stress distribution in converging compound channels. Arabian Journal for Science and Engineering, 42(3), 1305–1319 (2017)
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Das, B.S., Khatua, K.K., Devi, K. (2018). Application of Lateral Distribution Method and Modified Lateral Distribution Method to the Compound Channel Having Converging Floodplains. In: Nath, V. (eds) Proceedings of the International Conference on Microelectronics, Computing & Communication Systems. Lecture Notes in Electrical Engineering, vol 453. Springer, Singapore. https://doi.org/10.1007/978-981-10-5565-2_26
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DOI: https://doi.org/10.1007/978-981-10-5565-2_26
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