Upper-Regime Plane Bed
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 11
Abstract
The analysis of a laboratory and field data set for sand-bed channels defines the characteristics of upper-regime plane bed with sediment transport. The occurrence of upper-regime plane bed relates to the laminar sublayer thickness δ and depends on shear velocity u*, median grain size d50, and grain shear Reynolds number R*. Two different boundary conditions are recognized: (1) Transition to hydraulically smooth when R* < 11.6; and (2) transition to hydraulically rough when R* > 11.6. In the first case, upper-regime plane bed is obtained when ≅gδ, where g is the gravitational acceleration. In the second case, upper-regime plane bed is observed when d50≅ 2δ. Temperature effects are possible when R* approaches 11.6, which explains the observations on the Missouri River. Resistance to flow for plane bed with sediment transport increases with the Shields parameter.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Athaullah, M. (1968). “Prediction of bedforms in erodible channels,” PhD dissertation, Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
2.
Beckman, E. W., and Furness, L. W. (1962). “Flow characteristics of Elkhorn River near Waterloo, Nebraska.”Water Supply Paper 1498-B, U.S. Geological Survey, Washington, D.C.
3.
Bennett, J. P.(1995). “Algorithm for resistance to flow and transport in sand-bed channels.”J. Hydr. Engrg., ASCE, 121(8), 578–590.
4.
Best, J. L., and Bridge, J. S.(1992). “The morphology and dynamics of low amplitude bedwaves upon upper-stage plan beds and preservation of planar laminae.”Sedimentology, 39, 737–752.
5.
Bray, D. I. (1982). “Flow resistance in gravel-bed rivers, in gravel-bed river.”Fluvial processes, engineering and management, John Wiley & Sons, Inc., New York, 109–137.
6.
Brownlie, W. (1982). Prediction of flow depth and sediment transport in open channels,” PhD dissertation, California Inst. of Technol., Pasadena, Calif., 410.
7.
Chen, Y. H., and Nordin, C. F. (1976). “Missouri river temperature effects in the transition from dunes to plane bed.”MRD Sediment Ser. No. 14, U.S. Army Engr. Dis., Corps of Engrs., Omaha, Neb., 37.
8.
Chyn, S. D. (1935). “An experimental study of the sand transporting capacity of the flowing water on sandy bed and the effect of the composition of the sand,” Thesis, MIT, Cambridge, Mass., 33.
9.
Daranandana, N. (1962). “A preliminary study of the effect of gradation of bed material on flow phenomena in alluvial channels,” PhD dissertation, Colorado State Univ., Fort Collins, Colo.
10.
Einstein, H. A., and Barbarossa, N. L.(1952). “River channel roughness.” ASCE, 117, 1121–1132.
11.
Engelund, F., and Fredsøe, J. (1974). “Transition from dunes to plane bed in alluvial channels,”Ser. Paper 4, Inst. of Hydrodynamics and Hydr. Engrg., Tech. Univ. of Denmark, Denmark, 56.
12.
Engelund, F., and Hansen, E. (1967). A monograph on sediment transport in alluvial streams. TekniskForlag, Copenhagen, Denmark.
13.
Franco, J. J.(1968). “Effects of water temperature on bed load movement.”J. Wtrwy., and Harb. Div., ASCE, 94(3), 343–352.
14.
Guy, H. P., Simons, D. B., and Richardson, E. V. (1966). “Summary of alluvial channel data from flume experiments, 1956–61.”Profl. Paper 462-I, U.S. Geological Survey.
15.
Jorissen, A. L.(1938). “Etude experimentale du transport solide des cours d'eau.”Revue Universelle des Mines, Belgium, 14(3), 269–282.
16.
Julien, P. Y. (1992). “Study of bedform geometry in large rivers.”Rep. Q 1386, Delft Hydraulics, 78.
17.
Julien, P. Y. (1995). Erosion and sedimentation. Cambridge University Press, 280.
18.
Julien, P. Y., and Klaassen, G. J.(1995). “Sand dune geometry in flooded rivers.”J. Hydr. Engrg., ASCE, 121(9), 657–663.
19.
Julien, P. Y., and Klaassen, G. J.(1997). “Closure to discussion of `Sand dune geometry in flooded rivers,' by Mario L. Amsler and Marcelo H. García.”J. Hydr. Engrg., ASCE, 123(6), 582–585.
20.
Julien, P. Y., Lan, Y. Q., and Berthault, G.(1993). “Experiments on stratification of heterogeneous sand mixtures.”Bull. de la Société Géologique de France, France, 164(5), 649–660.
21.
Kamphuis, J. W.(1974). “Determination of sand roughness for fixed beds.”J. Hydr. Res., 12(2), 193–203.
22.
Keulegan, G. H.(1938). “Laws of turbulent flows in open channels.”J. Nat. Bureau of Standards, 21, 707–741.
23.
Klaassen, G. J. (1991). “Experiment on the effect of gradation and vertical sorting on sediment transport phenomena in the dune phase.”Proc., Grain Sorting Seminar, 127–145.
24.
Meyer-Peter, E., and Müller, R. (1948). “Formulas for bed load transport.”Proc., 2nd Meeting Int. Assn. for Hydr. Struct. Res., 26.
25.
Nnadi, F. N., and Wilson, K. C.(1995). “Bed-load motion at high shear stress: Dune washout and plane-bed flow.”J. Hydr. Engrg., ASCE, 121(3), 267–273.
26.
Nordin, C. F., Jr. (1964). “Aspects of flow resistance and sediment transport, Rio Grande near Bernalillo, New Mexico.”Water Supply Paper 1498-H, U.S. Geological Survey, Washington, D.C.
27.
Nordin, C. F., Jr. (1965). “Sediment transport in the Rio Grande, New Mexico.”Profl. Paper 462-F, U.S. Geological Survey, Washington, D.C., 35.
28.
Nordin, C. F., Jr. (1976). “Flume studies with fine and coarse sands.”Open File Rep. 76-762, U.S. Geological Survey, Washington, D.C., 18.
29.
Paola, C., Wiele, S. M., and Reinhart, M. A.(1989). “Upper-regime parallel lamination as a result of turbulent sediment transport and low-amplitude bedforms.”Sedimentology, 36, 47–59.
30.
Raslan, Y. (1994). “Resistance to flow in the upper-regime plane bed,” PhD dissertation, Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo., 135.
31.
“Sedimentation engineering.” (1997). Manual and Rep. on Engrg. Prac. No. 65, ASCE, New York, 745.
32.
Shen, H. W. (1977). “Analyses of temperature effects on stage-discharge relationship in a Missouri river reach near Omaha.”MRD Sediment Ser. No. 15, U.S. Army Engr. Div., Missouri River, Corps of Engrs., Omaha, Neb., 43.
33.
Shen, H. W., Mellema, W. J., and Harrison, A. S.(1978). “Temperature and Missouri river stages near Omaha.”J. Hydr. Div., ASCE, 104(1), 1–20.
34.
Simons, D. B., and Richardson, E. V.(1961). “Forms of bed roughness in alluvial channels.”J. Hydr. Div., ASCE, 87(3), 87–105.
35.
Simons, D. B., and Richardson, E. V. (1966). “Resistance to flow in alluvial channels.”Profl. Paper No. 422-J, U.S. Geological Survey.
36.
Simons, D. B., and Senturk, F. (1992). Sediment transport technology. Water Resour. Publ., Fort Collins, Colo.
37.
Singh, B. (1960). “Transport of bed load in channels with special reference to gradient form,” PhD dissertation, Univ. of London, London.
38.
U.S. Army Corps of Engineers (USACE). (1936a). “Flume tests made to develop a synthetic sand which will not form ripples when used in movable-bed models.”Tech. Memo. 99-1, U.S. Wtrwy. Experiment Station, Vicksburg, Miss., 21.
39.
U.S. Army Corps of Engineers (USACE). (1936b). “Flume tests of synthetic sand mixture (Sand No. 10).”Tech. Memo. 95-1, U.S. Wtrwy. Experiment Station, Vicksburg, Miss., 21.
40.
U.S. Army Corps of Engineers (USACE). (1969). “Missouri river channel regime studies.”MRD Sediment Ser. No. 13B, Omaha Dis., Omaha, Neb.
41.
Vanoni, V. A., and Brooks, N. H. (1957). “Laboratory studies of the roughness and suspended load of alluvial streams.”MRD Sediment Ser. No. 11, Sedimentation Lab., California Inst. of Technol., Pasadena, Calif., 121.
42.
van Rijn, L. D.(1982). “Equivalent roughness of alluvial bed.”J. Hydr. Div., ASCE, 108(10), 1215–1218.
43.
van Rijn, L. D.(1984). “Sediment transport. III: Bedforms and alluvial roughness.”J. Hydr. Engrg., ASCE, 110(12), 1733–1754.
44.
Wang, Z., and Larsen, P.(1994). “Turbulent structure of water and clay suspensions with bed load.”J. Hydr. Engrg., ASCE, 120(5), 577–600.
45.
Wijbenga, J. H. A. (1990). “Flow resistance and bedform dimensions for varying flow conditions—A literature review (main text) and (annexes).”Rep. on Literature Study, A58, Delft Hydraulics.
46.
Wijbenga, J. H. A., and Klaassen, G. J.(1983). “Changes in bedform dimensions under unsteady flow conditions in a straight flume.” Spec. Publ., Int. Assn. of Sedimentologists, 6, 35–48.
47.
Williams, G. P. (1970). “Flume width and water depth effects in sediment transport experiments.”Profl. Paper No. 562-H, U.S. Geological Survey.
48.
Znamenskaya, N. S. (1969). “Morphological principle of modeling of river-bed processes.”Proc., 13th Congr. of IAHR, Vol. 5, 1.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Nov 1, 1998
Published in print: Nov 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.