Flow Resistance and Suspended Load in Sand-Bed Rivers: Simplified Stratification Model
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Hydraulic Engineering
Volume 130, Issue 8
Abstract
New methods are presented for the prediction of the flow depth, grain-size specific near-bed concentration, and bed-material suspended sediment transport rate in sand-bed rivers. The salient improvements delineated here all relate to the need to modify existing formulations in order to encompass the full range of sand-bed rivers, and in particular large, low-slope sand-bed rivers. They can be summarized as follows: (1) the inclusion of density stratification effects in a simplified manner, which have been shown in the companion paper to be particularly relevant for large, low-slope, sand-bed rivers; (2) a new predictor for near-bed entrainment rate into suspension which extends a previous relation to the range of large, low-slope sand-bed rivers; and (3) a new predictor for form drag which again extends a previous relation to include large, low-slope sand-bed rivers. Finally, every attempt has been made to cast the relations in the simplest form possible, including the development of software, so that practicing engineers may easily use the methods.
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References
Bennett, J. P.(1995). “Algorithm for resistance to flow and transport in sand-bed channels.” J. Hydraul. Eng., 121(8), 578–590.
Brownlie, W.(1983). “Flow depth in sand-bed channels.” J. Hydraul. Eng., 109(7), 959–990.
Colby, B. R.(1957). “Relationship of unmeasured sediment discharge to mean velocity.” Trans., Am. Geophys. Union, 38(5), 708–717.
Colby, B. R., and Hembree, C. H. (1956). “Computations of total sediment discharge Niobrara River Near Cody, Nebraska.” U.S. Geol. Survey Water-Supply Paper 1357.
Einstein, H. A. (1950). “The bed load function in open channel flows.” U.S. Dept. of Agriculture, Technical Bulletin No. 1026.
Einstein, H. A., and Chien, N.(1953). “Can the rate of wash load be predicted from the bed-load function?” Trans., Am. Geophys. Union, 34(6), 876–882.
Einstein, H. A., and Chien, N. (1955). “Effects of heavy sediment concentration near the bed on velocity and sediment distribution.” MRD Sediment Series No. 8, Univ. of California, Institute of Engineering Research, Berkeley, Calif.
Engelund, F.(1970). “Instability of erodible beds.” J. Fluid Mech., 42(2), 225–244.
Engelund, F., and Hansen, E. (1967). “A monograph on sediment transport in alluvial streams.” Technical Univ. of Denmark.
Garcia, L. P. (1995). “Transport of sands in deep rivers.” Doctoral dissertation, Colorado State Univ., Fort Collins, Col.
Garcia, M., and Parker, G.(1991). “Entrainment of bed sediment into suspension.” J. Hydraul. Eng., 117(4), 414–435.
Graf, W. H., and Cellino, M.(2002). “Suspension flows in open channels; experimental study.” J. Hydraul. Res., 40(4), 435–447.
Greimann, B. P., Muste, M., and Holly, F. M., Jr. (1999). “Two-phase formulation of suspended sediment transport.” J. Hydraul. Res., 37(4), 479–500.
Henderson, F. M. (1966). Open channel flow, MacMillan, New York.
Jordan, P. R. (1965). “Fluvial sediment of the Mississippi River at St. Louis, Missouri.” U.S. Geol. Survey Water-Supply Paper 1802.
Julien, P. Y., and Klaasen, G. J.(1995). “Sand-dune geometry of large rivers during floods.” J. Hydraul. Eng., 121(9), 657–663.
McLean, S. R.(1991). “Depth-integrated suspended-load calculations.” J. Hydraul. Eng., 117(11), 1440–1458.
McLean, S. R.(1992). “On the calculation of suspended load for noncohesive sediments.” J. Geophys. Res., [Oceans], 97(C4), 5759–5770.
Molinas, A., and Wu, B.(2000). “Comparison of fractional bed-material load computation methods in sand-bed channels.” Earth Surf. Processes Landforms, 25, 1045–1068.
Nordin, C. F., and Dempster, G. R. (1963). “Vertical distribution of velocity and suspended sediment Middle Rio Grande New Mexico.” U.S. Geol. Survey Prof. Pap. 462-B. 462-B.
Raudkivi, A. J. (1976). Loose boundary hydraulics, Pergamon, Oxford, U.K.
Samaga, B. R., Ranga Raju, K. G., and Garde, R. J.(1986). “Suspended load transport of sediment mixtures.” J. Hydraul. Eng., 112(11), 1019–1035.
Scott, L. H., and Stephens, H. D. (1966). “Special sediment investigations Mississippi river at St. Louis, Missouri, 1961–1963.” U.S. Geol. Survey Water-Supply Paper 1819-J.
Smith, J. D.(1970). “Stability of a sand bed subjected to a shear flow of low Froude number.” J. Geophys. Res., 75(30), 5928–5940.
Smith, J. D., and McLean, S. R.(1977). “Spatially averaged flow over a wavy surface.” J. Geophys. Res., 82(12), 1735–1746.
Toffaleti, F. B. (1968). “A procedure for computation of the total river sand discharge and detailed distribution, bed to surface.” Technical Rep. No. 5, Committee on Channel Stabilization, Corps of Engineers.
Vanoni, V. A.(1974). “Factors determining bed forms of alluvial streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 100(3), 363–377.
van Rijn, L. C.(1984). “Sediment transport, part II: suspended load transport.” J. Hydraul. Eng., 110(11), 1613–1641.
Wright, S., and Parker, G.(2004a). “Density stratification effects in sand-bed rivers.” J. Hydraul. Eng., 130(8), 783–795.
Wright, S., and Parker, G. (2004b). “Grain-size specific suspended sediment transport and flow resistance in larges sand-bed rivers.” Proc., Symp. on Sedimentation and Sediment Transport, Monte Verita, Switzerland.
Wu, W., Wang, S. S. Y., and Jia, Y.(2000). “Nonuniform sediment transport in alluvial rivers.” J. Hydraul. Res., 38(6), 427–434.
Vanoni, V. A., ed. (1975). Sedimentation engineering, ASCE, New York.
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Published In
Journal of Hydraulic Engineering
Volume 130 • Issue 8 • August 2004
Pages: 796 - 805
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Mar 12, 2002
Accepted: Jul 29, 2003
Published online: Jul 15, 2004
Published in print: Aug 2004
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