Abstract
Hydraulic geometry is a term to state that a relationship between channel shape and discharge at-a-station or downstream of a reach. Channel shape means cross-sectional geometry (i.e., width, depth), together with hydraulic parameters (i.e., bed slope, mean velocity) for a given water and sediment discharge. In this study, a general concept of hydraulic geometry is initially dealt with; thereafter, continuity, flow resistance, sediment load and secondary flow equations are applied to develop a semi-analytical model for downstream hydraulic relation. The secondary flow appears in the relations by the ratio of radial to longitudinal shear stresses. Further on, Hey and Thorne (J Hydraul Eng ASCE 112(8):671–686, 1986) field data in Britain are used to calibrate the model, and this indicates a reasonable agreement between observed and calculated values with average error between 17.101 and 30.204% which may partially be owing to the assumptions made in the model. In the end, sensitivity analysis is accomplished to identify the parameters to which the model is most sensitive.
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References
Bray DI (1980) Evaluation of effective boundary roughness for gravel bed rivers. Can J Civ Eng 7(2):392–397. https://doi.org/10.1139/l80-047
Bray DI, Davar KS (1987) Resistance to flow in gravel-bed rivers. Can J Civ Eng 14(1):77–86. https://doi.org/10.1139/l87-010
Eaton BC (2010) Hydraulic geometry: empirical investigations and theoretical approaches. Preprint submitted to Treatise on Fluvial Geomorphology. https://doi.org/10.1016/b978-0-12-374739-6.00243-8
Eaton BC, Millar RG (2004) Optimal alluvial channel width under a bank stability constraint. J Geomorphol 62(1):35–45. https://doi.org/10.1016/j.geomorph.2004.02.003
Engelund F (1974) Flow and bed topography in channel bends. J Hydraul Div ASCE 100(11):1631–1648
Engelund F, Hansen E (1967) A monograph on sediment transport in alluvial stream. Teknisk Forlag, Denmark
Fernandez OVQ (2017) Bankfull hydraulic geometry relationships for rivers and streams of the western and southwest regions of Paraná State, Brazil. J Geogr Earth Sci 5(1):50–63. https://doi.org/10.15640/jges.v5n1a4
Ferro V (2003) Flow resistance in gravel-bed channels with large-scale roughness. Earth Surf Proc Land 28(12):1325–1339. https://doi.org/10.1002/esp.589
Hey RD (1978) Determinate hydraulic geometry of river channels. J Hydraul Div ASCE 104(6):869–885
Hey RD (1979) Flow resistance in gravel-bed rivers. J Hydraul Div ASCE 105(4):365–379
Hey RD, Thorne CR (1986) Stable channels with mobile gravel beds. J Hydraul Eng ASCE 112(8):671–686. https://doi.org/10.1061/(ASCE)0733-9429(1986)112:8(671)
Huang HQ (1996) Multivariate controls of alluvial channel geometry: model development and applications. In: Ph.D. Thesis, University of Wollongong, Wollongong
Huang HQ, Nanson GC (2000) Hydraulic geometry and maximum flow efficiency as products of the principle of least action. Earth Surf Proc Land 25(1):1–16. https://doi.org/10.1002/(SICI)1096-9837(200001)
Hussein ASA, Smith KVH (1986) Flow and bed deviation angle in curved open channels. J Hydraul Res 24(2):93–108. https://doi.org/10.1080/00221688609499324
Julien PY (1990) Downstream hydraulic geometry of alluvial channels. In: Technical Report, Engineering Research Center, Colorado State University, Colorado
Julien PY (2002) River mechanics. Cambridge University Press, New York
Julien PY (2014) Downstream hydraulic geometry of alluvial rivers. Proc Int Assoc Hydrol Sci 367:3
Julien PY, Wargadalam J (1995) Alluvial channel geometry: theory and applications. J Hydraul Eng 121(4):312–325. https://doi.org/10.1061/(ASCE)0733-9429(1995)121:4(312)
Lane EW (1935) Stable channels in erodible material. American Society of Civil Engineers, p 71
Lee HE, Lee C, Kim YJ, Kim JS, Kim W (2013) Power law exponents for vertical velocity distributions in natural rivers. Engineering 5(12):933–942. https://doi.org/10.4236/eng.2013.512114
Leopold LB, Langbein WB (1962) The concept of entropy in landscape evolution. In: U. S. geological survey, Professional paper 500-A
Leopold LB, Maddock TJ (1953) The hydraulic geometry of stream channels and some physiographic implication. In: U. S. geological survey professional Pager 252
Meyer-peter E, Muller R (1948) Formulas for bed-load transport. In Proceedings of the second meeting, IAHR, pp 36–64
Rozovskii IL (1957) Flow of water in bends of open channels. Academy of Sciences of the Ukrainian SSR, p 233
Simons DB, Albertson ML (1960) Uniform water conveyance channels in alluvial materials. J Hydraul Div ASCE 86(5):33–71
Singh VP, Yang CT, Deng ZQ (2003) Downstream hydraulic geometry relations: 1. Theoretical development. Water Resour Res. https://doi.org/10.1029/2003WR002484
Wang WC, Dawdy DR (2014) Flow resistance of gravel bed channels. Int J Sedim Res 29(1):126–132. https://doi.org/10.1016/S1001-6279(14)60028-7
Yang CT (1996) Sediment and transport: Theory and practice. Krieger Publishing Company, Malabar
Yuce MI, Esit M, Muratoglu A (2015) Determining the hydraulic geometry parameters of Seyhan River. Am J Eng Technol Soc 2(4):77
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Shahosainy, M., Tabatabai, M.R.M. & Nadoushani, S.M. Effect of Secondary Flow on Hydraulic Geometry in Meandering Rivers. Iran J Sci Technol Trans Civ Eng 43 (Suppl 1), 357–369 (2019). https://doi.org/10.1007/s40996-018-0170-8
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DOI: https://doi.org/10.1007/s40996-018-0170-8