Meander bends of high amplitude

Gary Parker; Panayiotis Diplas; Juichiro Akiyama

doi:10.1061/(ASCE)0733-9429(1983)109:10(1323)

Meander bends of high amplitude

Gary Parker
, Panayiotis Diplas
, Juichiro Akiyama

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1323-1337
Number of pages	15
Journal	Journal of Hydraulic Engineering
Volume	109
Issue number	10
DOIs	https://doi.org/10.1061/(ASCE)0733-9429(1983)109:10(1323)
State	Published - Oct 1983
Externally published	Yes

ASJC Scopus subject areas

Civil and Structural Engineering
Water Science and Technology
Mechanical Engineering

Online availability

10.1061/(ASCE)0733-9429(1983)109:10(1323)

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Cite this

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title = "Meander bends of high amplitude",

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.",

author = "Gary Parker and Panayiotis Diplas and Juichiro Akiyama",

note = "A portion of this work was completed during the senior writer's annual period of employment as a research hydrologist for the U.S. Geological Survey. Financial aid was also provided by a grant from the National Science Foundation (Grant No. CEE 8204953). S. Ikeda checked some of the calculations and provided several helpful ideas. M. Carson contributed valuable discussions.",

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AU - Parker, Gary

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AU - Akiyama, Juichiro

N1 - A portion of this work was completed during the senior writer's annual period of employment as a research hydrologist for the U.S. Geological Survey. Financial aid was also provided by a grant from the National Science Foundation (Grant No. CEE 8204953). S. Ikeda checked some of the calculations and provided several helpful ideas. M. Carson contributed valuable discussions.

PY - 1983/10

Y1 - 1983/10

N2 - 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.

AB - 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.

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Meander bends of high amplitude

Abstract

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