TECHNICAL PAPERS
Oct 1, 1983

Meander Bends of High Amplitude

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 10

Abstract

Meander bends of high amplitude in alluvial rivers often display a high degree of coherency. The only analytical equation heretofore available to describe such bends is the sine‐generated curve, which has no rigorous derivation in the context of rivers. Herein a nonlinear “bend equation,” based on a dynamical description of flow in bends and a kinematical description of bank erosion, is used to describe channel migration. This equation admits solutions of constant amplitude that migrate downstream with constant speed. The solution at high amplitude displays a prominent skewing that reveals the direction of flow. At low amplitude, the solution reduces to the sine‐generated curve.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Blench, T., Galay, V. J., and Yaremko, E. K., “Observations of Natural and Man‐Made River Spurs,” Proceedings, Rivers '76 Meeting, ASCE, Fort Collins, Colo., 1976, pp. 1363–1382.
2.
Brice, J. C., “Evolution of Meander Loops,” Geological Society of America Bulletin, Vol. 85, Apr., 1974, pp. 581–586.
3.
Callander, R. A., “Instability and River Channels,” Journal of Fluid Mechanics, Vol. 36, 1969, pp. 365–380.
4.
Carson, M. A., and LaPointe, M. F., “The Inherent Asymmetry of River Meander Planform,” Journal of Geology, Vol. 91, 1983, pp. 41–55.
5.
Eckhaus, W., Studies in Nonlinear Stability Theory, Springer Verlag, New York, N.Y., 1965.
6.
Engelund, F., “Flow and Bed Topography in Channel Bends,” Journal of the Hydraulics Division, ASCE, Vol. 100, No. HY11, 1974, pp. 1631–1648.
7.
Falcon, M., and Kennedy, J. F., “A New Approach to Analysis of Flow in River Bends,” Proceedings, U.S.‐Japan Bi‐national Workshop, Mar. 19–24, 1977.
8.
Fisk, H. N., Geological Investigation of the Alluvial Valley of the Lower Mississippi River, Mississippi River Commission, Vicksburg, Miss., 1944.
9.
Hansen, E., “The Formation of Meanders as a Stability Problem,” Basic Research, Progress Report No. 13, Hydraulic Laboratory, Technical University of Denmark, 1967.
10.
Hickin, E. J., “Hydraulic Factors Controlling Channel Migration,” Proceedings, 5th Guelph Symposium on Geomorphology, University of Guelph, Ontario, 1977, pp. 59–66.
11.
Hickin, E. J., “Concave‐bank Benches on the Squamish River, British Columbia, Canada,” Canadian Journal of Earth Sciences, Vol. 16, No. 1, 1979, pp. 200–203.
12.
Hickin, E. J., and Nanson, G. C., “The Character of Channel Migration on the Beatton River, Northeast British Columbia, Canada,” Geological Society of America Bulletin, Vol. 86, Apr., 1975, pp. 487–494.
13.
Ikeda, S., Parker, G., and Sawai, K., “Bend Theory of River Meanders. Part 1. Linear Development,” Journal of Fluid Mechanics, Vol. 112, 1981, pp. 363–377.
14.
Jefferson, M., “The Limiting Widths of Meander Belts,” National Geographic Magazine, Oct., 1902.
15.
Kinoshita, R., “An Investigation of Channel Migration in the Ishikari River,” Publication No. 13, Department of Resources, Office of Science and Technology, Japan, 1961.
16.
Langbein, W. B., and Leopold, L. B., “River Meanders—Theory of Minimum Variance,” U.S. Geological Survey Professional Paper No. 422‐H, 1966.
17.
Minorsky, N., Nonlinear Oscillations, D. Van Nostrand, New York, N.Y., 1962.
18.
Nayfeh, A., Perturbation Methods, John Wiley and Sons, New York, N.Y., 1973.
19.
Parker, G., Sawai, K., and Ikeda, S., “Bend Theory of River Meanders. Part 2. Nonlinear Deformation of Finite‐Amplitude Bends,” Journal of Fluid Mechanics, Vol. 115, 1982, pp. 303–314.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 10October 1983
Pages: 1323 - 1337

History

Published online: Oct 1, 1983
Published in print: Oct 1983

Permissions

Request permissions for this article.

Authors

Affiliations

Gary Parker, M. ASCE
Assoc. Prof., St. Anthony Falls Hydr. Lab., Univ. of Minnesota, Minneapolis, Minn. 55414
Panayiotis Diplas
Grad. Research Asst., St. Anthony Falls Hydr. Lab., Univ. of Minnesota, Minneapolis, Minn. 55414
Juichiro Akiyama
Grad. Research Asst., St. Anthony Falls Hydr. Lab., Univ. of Minnesota, Minneapolis, Minn. 55414

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share