Journal ArticleDOI
A unified bar–bend theory of river meanders
TLDR
In this paper, a two-dimensional model of flow and bed topography in sinuous channels with erodible boundaries is developed and applied in order to investigate the mechanism of meander initiation.Abstract:
A two-dimensional model of flow and bed topography in sinuous channels with erodible boundaries is developed and applied in order to investigate the mechanism of meander initiation. By reexamining the problem recently tackled by Ikeda, Parker & Sawai (1981), a previously undiscovered ‘resonance’ phenomenon is detected which occurs when the values of the relevant parameters fall within a neighbourhood of certain critical values. It is suggested that the above resonance controls the bend growth, and it is shown that it is connected in some sense with bar instability. In fact, by performing a linear stability analysis of flow in straight erodible channels, resonant flow in sinuous channels is shown to occur when curvature ‘forces’ a ‘natural’ solution represented by approximately steady perturbations of the alternate bar type. A comparison with experimental observations appears to support the idea that resonance is associated with meander formation.read more
Citations
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A cellular model of braided rivers
A. Brad Murray,Chris Paola +1 more
TL;DR: In this paper, a simple deterministic numerical model of water flow over a cohesionless bed was proposed to capture the main spatial and temporal features of real braided rivers, showing that the only factors essential for braiding are bedload sediment transport and laterally unconstrained free-surface flow.
Journal ArticleDOI
The interaction between channel geometry, water flow, sediment transport and deposition in braided rivers
TL;DR: In this article, a detailed field and laboratory studies of the geometry, flow and sedimentary processes in braided rivers of simple geometry, in single river bends, in channel confluences, and using some theoretical reasoning, it has been possible to construct fully 3D qualitative and quantitative models of braided river deposits.
Book
Granular Media: Between Fluid and Solid
TL;DR: In this article, the granular solid: statics and elasticity of granular liquid and granular gases are discussed at the grain level, and the interaction between granular media, statics, elasticity and plasticity at the liquid level.
Journal ArticleDOI
The “unreasonable effectiveness” of stratigraphic and geomorphic experiments
TL;DR: In this paper, the authors suggest that unreasonable experimental effectiveness arises from natural scale independence, and they advocate a shift in emphasis in experimental stratigraphy and geomorphology away from classical dynamical scaling and towards a quantitative understanding of the origins and limits of scale independence.
The 'Unreasonable Effectiveness' of Stratigraphic and Geomorphic Experiments
TL;DR: In this article, the authors suggest that unreasonable experimental effectiveness arises from natural scale independence, and they advocate a shift in emphasis in experimental stratigraphy and geomorphology away from classical dynamical scaling and towards a quantitative understanding of the origins and limits of scale independence.
References
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Book
A monograph on sediment transport in alluvial streams
TL;DR: In this article, the authors proposed the principle of similarity for the prediction of stage-discharge relations in alluvial streams. But they did not consider the effect of the number of particles in the stream.
Journal ArticleDOI
Bend theory of river meanders. Part 1. Linear development
TL;DR: In this paper, a stability analysis of a sinuous channel with erodible banks allows for delineation of a bend instability that does not occur in straight channels, and differs from the alternate-bar instability.
Journal ArticleDOI
Flow and bed topography in channel bends
TL;DR: In this paper, a linearized flow equation was proposed to calculate the distribution of the bed shear stress in a meandering channel with fixed side walls, and the results were compared with experiments, concluding that the helical motion introduced by the channel curvature may be fairly well described.
Journal ArticleDOI
On the cause and characteristic scales of meandering and braiding in rivers
TL;DR: In this paper, a stability analysis of meandering and braiding perturbations in a model alluvial river is described, and a perturbation technique involving a small parameter representing the ratio of sediment transport to water transport is used to obtain the following results.
Journal ArticleDOI
Flow and Bed Topography in Curved Open Channels
TL;DR: In this article, an equation which expresses the variation of transverse bed profile is derived by considering an equilibrium of forces acting on a sand particle, and from this result the maximum depth of scour which occurs at the outer banks is calculated.