Velocity Redistribution in Meandering Rivers
Publication: Journal of Hydraulic Engineering
Volume 115, Issue 8
Abstract
An analytical model for calculating the lateral distribution of the depthaveraged primary flow velocity in meandering rivers is presented. A small perturbation approach is used to linearize the governing equations. The well‐known “moment method,” commonly used to solve the concentration distributions, is then used to obtain an approximate solution. This makes it possible to take into account the convective transport of primary flow momentum by the secondary flow. This oft‐neglected influence of the secondary flow is shown to be an important cause of the redistribution of the primary flow velocity. The model, when tested with laboratory data, gives substantially better results than several previous models.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Beck, S. M., Harrington, R. A., and Andres, D. D. (1983a). “Lateral channel stability of the Pembina River near Rossington, Canada.” Report, Research Council of Alberta, Edmonton, Alberta, Canada.
2.
Beck, S. M., Melfi, D. A., and Yalamanchili, K. (1983b). “Lateral migration of the Genesee River, New York.” Proc., River Meandering, Rivers '83 Conf., ASCE, October 24–26, New Orleans, 510–517.
3.
Blondeaux, P., and Seminara, G. (1985). “A unified bar‐bend theory of river meanders.” J. Fluid Mech., 112, 363–377.
4.
Crosato, A. (1987). “Simulation model of meandering processing of rivers.” Extended abstracts, Euromech 215 Conference, Sept. 15–19, Genova, Italy, 158–163.
5.
De Vriend, H. J. (1981). “Velocity redistribution in curved rectangular channels.” J. Fluid Mech., 107, 423–439.
6.
De Vriend, H. J., and Geldof, H. J. (1983). “Main flow velocity in short river bends.” J. Hydr. Engrg., ASCE, 109(7), 991–1011.
7.
Dietrich, W. E., and Smith, J. D. (1983). “Influence of the point bar on flow through curved channels.” Water Resour. Res., 15(5), 1173–1192.
8.
Engelund, F. (1974). “Flow and bed topography in channel bends,” J. Hydr. Div., ASCE, 100(11), 1637–1648.
9.
Hasegawa, K., and Ito, H. (1978). “Computer simulations on meander channel changes,” Proc., Hokkaido Branch, Japan Society of Civil Engineering, 34 (in Japanese).
10.
Ikeda, S. (1973). “Secondary flow in a bend of turbulent stream.” Proc., Japan Society of Civil Engineers, 219, 107–114.
11.
Ikeda, S., and Nishimura, T. (1986). “Flow and bed profile in meandering sand‐silt rivers.” J. Hydr. Engrg., ASCE, 112(7), 562–579.
12.
Ikeda, S., Parker, G., and Sawai, K. (1981). “Bend theory of river meanders, Part 1. Linear development.” J. Fluid Mech., 112, 363–377.
13.
Ishikawa, T., and Kim, S. (1986). “A basic study on the development of secondary circulation in curved channels.” Proc., Japan Society of Civil Engineers, 375, II‐6, 143–149.
14.
Johannesson, H. (1985). “Computer simulation migration of meandering rivers,” thesis presented to the University of Minnesota, at Minneapolis, in partial fulfillment for the degree of Master of Science.
15.
Johannesson, H., and Parker, G. (1989). “Secondary flow in a mildly sinuous channel.” J. Hydr. Engrg., ASCE, 115(3), 289–308.
16.
Kalkwijk, J. P. Th., and De Vriend, H. J. (1980). “Computation of the flow in shallow river bends.” J. Hydr. Engrg., ASCE, 18(4), 327–342.
17.
Kikkawa, H., Ikeda, S., and Kitagawa, A. (1976). “Flow and bed topography in curved open channels,” J. Hydr. Div., ASCE, 102(9), 1327–1442.
18.
Leschziner, M. A., and Rodi, W. (1979). “Calculation of strongly curved open channel flow,” J. Hydr. Div., ASCE, 105(10), 1297–1314.
19.
Odgaard, A. J. (1981). “Transverse bed slope in alluvial channel bends.” J. Hydr. Div., ASCE, 107(12), 1677–1694.
20.
Odgaard, A. J. (1986). “Meander flow model. I: Development.” J. Hydr. Engrg., ASCE, 112(12), 1117–1136.
21.
Odgaard, A. J. (1987). “Streambank erosion along two rivers in Iowa.” Water Resour. Res., 23(7), 1225–1236.
22.
Parker, G. (1982). “Stability of the channel of the Minnesota River near State Bridge No. 93, Minnesota,” Project Report No. 205, St. Anthony Falls Hydr. Lab. Univ. of Minnesota, Minneapolis, Minn., 33 pp.
23.
Parker, G. (1983). “Theory of meander bend deformation.” Proc., River Meandering, Rivers '83 Conf., ASCE, Oct. 24–26, New Orleans, La., 722–732.
24.
Rozovskii, I. L. (1961). “Flow of water in bends of open channels.” Israel Program for Scientific Translation, Jerusalem, Israel, 233 pp.
25.
Smith, J. D., and McLean, S. R. (1984). “A model for flow in meandering streams.” Water Resour. Res., 20(9), 1301–1315.
26.
Struiksma, N., Olesen, K. W., Flokstra, C., and De Vriend, H. J. (1985). “Bed deformation in curved alluvial channels.” J. Hydr. Res., 23(1), 57–79.
27.
Tamai, N., and Ikeuchi, K. (1984). “Longitudinal and transverse variations of the depth‐averaged flow fields in a meandering channel.” J. Hydrosci. and Hydr. Engrg., 2(2), 11–33.
28.
Thorne, C. R., Zevenbergen, L. W., Bradley, J. B., and Pitlick, J. C. (1985). “Measurements of bend flow hydraulics on the Fall River at bankfull stage.” WRD Project Report No. 85‐3, National Park Service, Colorado State Univ., Fort Collins, Colo., 1–70.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 115 • Issue 8 • August 1989
Pages: 1019 - 1039
Copyright
Copyright © 1989 ASCE.
History
Published online: Aug 1, 1989
Published in print: Aug 1989
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.