TECHNICAL PAPERS
Nov 1, 1989

River‐Meander Model. I: Development

Publication: Journal of Hydraulic Engineering
Volume 115, Issue 11

Abstract

Meander flow and meander‐planform development are described. The basis is a steady, two‐dimensional model of flow and bed topography in an alluvial channel with variable curvature. The model is developed from the equations for conservation of mass (water and sediment) and momentum, and from a stability criterion for sediment particles on the stream bed. By order of magnitude considerations and linearization, these equations are reduced to those of a damped, oscillating system. The meander development is described by forcing a traveling, small‐amplitude channel alignment wave on the system, and determining the growth characteristics of the wave. The growth rate of the amplitude is determined by relating the alignment wave and the change in channel alignment through a bankerosion model. Formulas are thereby developed for calculation of: (1) Velocity and depth distribution in meandering channels; and (2) rate and direction of channel migration. Laboratory and field data are used to verify the formulas.

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References

1.
Ashida, K., and Michiue, M. (1972). “Study on hydraulic resistance and bedload transport rate in alluvial streams.” Trans., Japan Soc. Civ. Engrs., 206, 59–69.
2.
Bergs, M. A. (1989). “Flow processes in a curved alluvial channel,” thesis presented to the University of Iowa, at Iowa City, Iowa, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Blench, T. (1952). “Regime theory for self‐formed sediment‐bearing channels.” Trans., ASCE, 117, 383–400.
4.
Blondeaux, P., and Seminara, G. (1985). “A unified bar‐bend theory of river meanders.” J. Fluid Mech., 157, 449–470.
5.
Brice, J. C. (1982). “Stream channel stability assessment.” Report No. FHWA/RD‐82/021, Federal Highway Administration, U.S. Department of Transportation, Washington, D.C.
6.
Chang, H. H. (1984). “Analysis of river meanders.” J. Hydr. Engrg., ASCE, 110(1), 37–50.
7.
Charlton, F. W., Brown, P. M., and Benson, R. W. (1978). “The hydraulic geometry of some gravel rivers in Britain.” Report No. IT180, Hydraulic Research Station, Wallingford, England.
8.
DeVriend, H. J., and Geldof, H. J. (1983). “Main flow velocity in short and sharply curved river bends.” Communications on Hydraulics, Report No. 83‐6, Dept. of Civ. Engrg., Delft Univ. of Technology, Delft, The Netherlands.
9.
Dietrich, W. E., and Smith, J. D. (1983). “Influence of the point bar on flow through curved channels.” Water Resour. Res., 19(5), 1173–1192.
10.
Dury, G. H. (1965). “Theoretical implications of underfit streams.” U.S. Geological Survey Professional Paper 452C, U.S. Geological Survey, Washington, D.C.
11.
Falcon, M. A. (1979). “Analysis of flow in alluvial channel bends,” thesis presented to the University of Iowa, at Iowa City, Iowa, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Falcon, M. A., and Kennedy, J. F. (1983). “Flow in alluvial‐river curves.” J. Fluid Mech., 133, 1–16.
13.
Hicken, E. J. (1974). “The development of meanders in natural river channels.” Am. J. Sci., 214, 414–442.
14.
Hicken, E. J., and Nanson, G. C. (1975). “The character of channel migration on the Beatton River, Northeast British Columbia, Canada.” Geolog. Soc. Am. Bull., 86, 487–494.
15.
Hooke, J. M. (1980). “Magnitude and distribution of rates of river bank erosion.” Earth Surface Processes, 5, 143–157.
16.
Ikeda, S., and Nishimura, T. (1985). “Bed topography in bends of sand‐silt rivers.” J. Hydr. Engrg., ASCE, 111(11), 1397–1411.
17.
Ikeda, S., Parker, G., and Sawai, K. (1981). “Bend theory of river meanders. Part I. Linear development.” J. Fluid Mech., 112, 363–377.
18.
Johannesson, H. (1988). “Theory of river meanders,” thesis presented to the University of Minnesota, at Minneapolis, Minnesota, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
19.
Kellerhals, R. (1967). “Stable channels with gravel‐paved beds.” J. Wtrwys. and Harb. Div., ASCE, 93(1), 63–84.
20.
Kennedy, R. G. (1895). “The prevention of silting in irrigation canals.” Proc., Instn. Civ. Engrs., 119, 281–290.
21.
Kikkawa, H., Ikeda, S., and Kitagawa, A. (1976). “Flow and bed topography in curved open channels.” J. Hydr. Div., ASCE, 102(9), 1317–1342.
22.
Kitanidis, P. K., and Kennedy, J. F. (1984). “Secondary current and river‐meander formation.” J. Fluid Mech., 114, 217–229.
23.
Lacey, G. (1930). “Stable channels in alluvium.” Proc. Instn. Civ. Engrs., 229, 259–292.
24.
Langbein, W. B., and Leopold, L. B. (1966). “River meanders—Theory of minimum variance.” U.S. Geological Survey Professional Paper 422‐H, U.S. Geological Survey, Washington, D.C.
25.
Leopold, L. B., and Wolman, M. G. (1957). “River channel patterns—braided, meandering and straight.” U.S. Geological Survey Professional Paper 282B, U.S. Geological Survey, Washington, D.C.
26.
Leopold, L. B., and Wolman, M. G. (1960). “River meanders.” Bull. Geolog. Soc. Am., Boulder, Colo., 71, 769–794.
27.
Nanson, G. C., and Hickin, E. J. (1983). “Channel migration and incision on the Beatton River.” J. Hydr. Engrg., ASCE, 109(3), 327–337.
28.
Nelson, J. M. (1988). “Mechanics of flow and sediment transport over nonuniform erodible beds,” thesis presented to the University of Washington, at Seattle, Washington, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
29.
Odgaard, A. J. (1984). “Flow and bed topography in alluvial channel bend.” J. Hydr. Engrg., ASCE, 110(4), 521–536.
30.
Odgaard, A. J. (1986a). “Meander flow model. I: Development.” J. Hydr. Engrg., ASCE, 112(12), 1117–1136.
31.
Odgaard, A. J. (1986b). “Meander flow model. II: Applications.” J. Hydr. Engrg., ASCE, 112(12), 1137–1150.
32.
Odgaard, A. J. (1987). “Streambank erosion along two rivers in Iowa.” Water Resour. Res., 23(7), 1225–1236.
33.
Odgaard, A. J. (1989). “River‐meander model. II: Applications.” J. Hydr. Engrg., ASCE, 115(11), 1451–1464.
34.
Odgaard, A. J., and Bergs, M. A. (1988). “Flow processes in a curved alluvial channel.” Water Resour. Res., 24(1), 45–56.
35.
Parker, G., and Andrews, E. D. (1985). “Sorting of bed load sediment by flow in meander bends.” Water Resour. Res., 21(9), 1361–1373.
36.
Rozovskii, I. L. (1957). Flow of water in bends of open channels. Academy of Sciences of the Ukrainian SSR, Kiev, USSR (in Russian) (English translation, Israel Program for Scientific Translation, Jerusalem, Israel, 1961).
37.
Simons, D. B., and Senturk, F. (1977). Sediment transport technology, Water Resources Publications, Fort Collins, Colo.
38.
Struiksma, N., et al. (1985). “Bed deformation in curved alluvial channels.” J. Hydr. Res., 23(1), 57–79.
39.
Thorne, C. R., et al. (1983). “Measurements of bend flow hydraulics on the Fall River at low stage.” WRFSL Report No. 83‐9P, National Park Service, 107C Natural Resources, Colorado State University, Fort Collins, Colo.
40.
U.S. Army Corps of Engineers (1981). The Streambank Erosion Control Evaluation and Demonstration Act of 1974, Section 32, Public Law 93‐251. Final report to Congress, Waterways Experiment Station, Vicksburg, Miss.
41.
Yen, B. C. (1972). “Spiral motion of developed flow in wide curved open channels.” Sedimentation, H. W. Shen, ed., Fort Collins, Colo., Chapter 22.
42.
Zeller, J. (1967). “Meandering channels in Switzerland,” International Association of Scientific Hydrology, Symp. on River Morphology, Bern, Switzerland, 75, 174–186.
43.
Zimmermann, C., and Kennedy, J. F. (1978). “Transverse bed slopes in curved alluvial streams.” J. Hydr. Div., ASCE, 104(1), 33–48.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 115Issue 11November 1989
Pages: 1433 - 1450

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Published online: Nov 1, 1989
Published in print: Nov 1989

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Authors

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A. Jacob Odgaard, Member, ASCE
Prof., Civ. and Envir. Engrg., and Res. Engr., Iowa Inst. of Hydr. Res. (IIHR), The Univ. of Iowa, Iowa City, Iowa 52242

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