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13 - Maximum Sediment Discharge and Froude Number Hypothesis

Published online by Cambridge University Press:  24 November 2022

Vijay P. Singh
Texas A & M University
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It is hypothesized that river morphology is governed by the dominant discharge, saturation of sediment discharge, and maximization of Froude number leading to the minimum amount of energy dissipation. The minimum energy dissipation rate may be achieved by the adjustment of sediment transport rate, friction factor, or Froude number of the flow under some special conditions. This chapter discusses the derivation of river geometry based on the minimization of energy dissipation rate or the aforementioned factors.

Handbook of Hydraulic Geometry
Theories and Advances
, pp. 372 - 392
Publisher: Cambridge University Press
Print publication year: 2022

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Ackers, P. (1972). River regime: research and application. Journal of the Institution of Water Engineers, Vol. 26, pp. 257274.Google Scholar
Ackers, P. and Charlton, F. G. (1970). Meander geometry arising from varying flows. Journal of Hydrology, Vol. 11, No. 3, pp. 230252.Google Scholar
Ackers, P. and White, W. R. (1973). Sediment transport: New approach and analysis. Journal of Hydraulics Division, ASCE, Vol. 99, pp. 20412060.CrossRefGoogle Scholar
Bogardi, J. (1978). Sediment Transport in Alluvial Streams. pp. 635636, Akademiai Kiado, Budapest.Google Scholar
Brownlie, W/R. (1983). Flow depth in sand bed channels. Journal of Hydraulics Division, ASCE, Vol. 109, No. 7, pp. 959990.CrossRefGoogle Scholar
Brune, G. (1948). Rates of sediment production in midwestern United States. Soil Conservation Service, Technical Publication 65, U.S. Department of Agriculture, Washington, DC.Google Scholar
Chollet, J. P., and Cunge, J. A. (1979). New interpretation of some head loss-flow velocity relationships for deformable movable beds. Journal of Hydraulic Research, Vol.17, No. 1, pp. 113.CrossRefGoogle Scholar
Engelund, F. and Hansen, E. (1967). A monograph on sediment transport in alluvial streams. pp. 63, Teknisk Forlag-Copenhagen, Denmark.Google Scholar
Farias, H. D. (1993). Hydraulic geometry of sand-silt channels in regime. Water: The Lifeblood of Africa, International Symposium, Victoria Falls, Zimbabwe.Google Scholar
Farias, H. D. (2000). Physical and mathematical modeling of alluvial channels in regime. HYDRA, Vol. 1, pp. 348353.Google Scholar
Karim, M. F. and Kennedy, J. F. (1982). IALLUVIAL: A computer-based flow and sediment routing model for alluvial streams and its application to the Missouri River. Iowa Institute of Hydraulic Research, Report No. 250, The University of Iowa, Iowa City.Google Scholar
Kirkby, M. J. (1977). Maximum sediment efficiency as a criterion of alluvial channels. Chapter 27 in: River Channel Changes, edited by Gregory, K. J., pp. 427442, John Wiley & Sons, New York.Google Scholar
Kondap, D. M. and Garde, R. J. (1979). Design of stable channels. Irrigation and Power, No. 4, New Delhi.Google Scholar
Larras, J. (1963). Profondeurs maximales d’erosion des fonds mobiles autour des piles en riviere. Ann. ponts et chaussées, Vol. 133, No. 4, pp. 411424.Google Scholar
Millar, R. G. and Quick, M. C. (1998). Stable width and depth of gravel-bed rivers with cohesive banks. Journal of Hydraulic Engineering, Vol. 124, No. 10, pp. 10051013.CrossRefGoogle Scholar
Peterson, D. F. (1970). Progress report on studies of hydraulic geometries of large bed element streams. PRWG 92-1, pp. 34, Utah Water research Laboratory, Utah State University, Logan.Google Scholar
Pickup, G. (1976). Adjustment of stream-channel shape to hydrologic regime. Journal of Hydrology, Vol. 30, pp. 365373.Google Scholar
Prus-Chacinski, T. M. (1958). Proceedings of Institution of Civil Engineers, Vol. 11.Google Scholar
Ramette, M. (1980). A theoretical approach on fluvial processes. Proceedings, International Symposium on River Sedimentation, pp. C16–1 to C-16-18, Beijing, China.Google Scholar
van Rijn, L. C. (1993). Principles of Sediment Transport in Rivers, Estuaries and Coastal Seas. Aqua Publications, Amsterdam.Google Scholar
White, W. T., Bettes, R. and Paris, E. (1982). Analytical approach to river regime. Journal of Hydraulics Division, ASCE, Vol. 108, pp. 11791193.Google Scholar
Wolman, M. G. and Leopold, L. B. (1957). River flood plains: Some observations on their formation, U.S. Geological Survey Professional Paper, 282C, 107 pp., Washington, DC.Google Scholar

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