Abstract
Modeling of urban drainage system is carried out for understanding and predicting the flow behavior in the drain, so that an adequate design of the drainage system can be achieved. However, many a time urban drainage models are developed without considering some important aspects like erosion and deposition processes in the drain. Though the erosion process can be neglected in the lined canal, deposition process has a major role in the urban drainage system. Therefore, study of sediment deposition in the urban drainage system is an essential aspect for minimization of artificial flood in the urban area. Sediment deposition in the drain depends upon various factors like particle size, settling velocity, critical shear stress, and bed shear stress. Therefore, in this paper an attempt has been made to develop a numerical model, which can identify the critical section of the urban drain where sediment starts to deposit. Two-dimensional continuity and momentum equations of unsteady free surface flow are solved by second order finite difference implicit scheme. To find the settling velocity of the particle Newton’s law and Stock’s law are used. After calculating the settling velocity of the particle, the position where the particle starts to settle down is determined. Critical sections of the drain from sediment deposition point of view are identified by comparing bed shear stress and critical shear stress computed by the Shields’ equation for incipient motion. No deposition occurs if bed shear stress is greater than critical shear stress. Again, result obtained from the sensitivity analysis of average particles size has shown that with the increases of sediment size, problem of sediment deposition aggravates.
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References
Beam RM, Warming RF (1976) An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. J Comp Phys 22:87–110
Beheshti AA, Ataie-Ashtiani B (2008) Analysis of threshold and incipient conditions for sediment movement. J Coastal Eng 55:423–430
Fang H, Chen M, Chen Q (2008) One-dimensional numerical simulation of non-uniform sediment transport under unsteady flows. J Sed Res 23:315–328
Hashemi MR, Abedini MJ, Malekzadeh P (2007) A differential quadrature analysis of unsteady open channel flow. J Appl Math Model 31:1594–1608
Highway Research Board (1970) Tentative design procedure for riprap-lined channels. National Academy of Science, National Cooperative Highway Research Program, Report 108
Keskin ME, Agiralioglu, Necati (1997) A simplified dynamic model for flood routing in rectangular channels. J Hydrol 202:302–314
Lane EW (1995) Design of stable channels. Trans ASCE 2776:1234–1279
Sheilds A (1936) Anwendung der ahnlichkeitsmechanik under turbulenzforschung auf geschiebebewegung. Mitteilungen der PrevssischenVersuchsanstalt fur Wasserbau und Schiffbau, Berlin, Germany (trans: Ott WP, van Uchelen JC, into English) California Institute of Technology, Pasadena, California
Zhang M-l, Shen Y-m (2007) Study and application of steady flow and unsteady flow mathematical model for channel networks. J Hydrodynamics 19:572–578
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© 2016 Springer International Publishing Switzerland
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Patowary, S., Sarma, A.K. (2016). Two-Dimensional Numerical Model for Urban Drainage System. In: Sarma, A., Singh, V., Kartha, S., Bhattacharjya, R. (eds) Urban Hydrology, Watershed Management and Socio-Economic Aspects. Water Science and Technology Library, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-40195-9_13
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DOI: https://doi.org/10.1007/978-3-319-40195-9_13
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