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      Self-formed straight rivers with equilibrium banks and mobile bed. Part 1. The sand-silt river

      Journal of Fluid Mechanics
      Cambridge University Press (CUP)

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          Abstract

          Rivers and canals with perimeters composed of non-cohesive sand and silt have self-formed active beds and banks. They thus provide a most interesting fluid flow problem, for which one must determine the container as well as the flow. If bed load alone occurs across the perimeter of a wide channel, gravity will pull particles down the lateral slope of the banks; bank erosion is accomplished and the channel widens. In order to maintain equilibrium, this export of material from the banks must be countered by an import of sediment from the channel centre.

          The mechanism postulated for this import is lateral diffusion of suspended sediment, which overloads the flow near the banks and causes deposition. The model is formulated analytically with the aid of a series of approximate but reasonable assumptions. Singular perturbation techniques are used to define the channel geometry and obtain rational regime relations for straight channels. A comparison with data lends credence to the model.

          It is hoped that a first step has been made towards a more general treatment, which would include various complicating factors that are important features of natural rivers but are not essential to the maintenance of channel width. Among these factors are meandering, sediment sorting and seepage.

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          The operated Markov´s chains in economy (discrete chains of Markov with the income)

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            The mechanics of dunes and antidunes in erodible-bed channels

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              Instability of erodible beds

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                Author and article information

                Journal
                Journal of Fluid Mechanics
                J. Fluid Mech.
                Cambridge University Press (CUP)
                0022-1120
                1469-7645
                November 14 1978
                April 19 2006
                November 14 1978
                : 89
                : 1
                : 109-125
                Article
                10.1017/S0022112078002499
                e86dbf36-f635-4a0a-9fca-c67abfb8e0a3
                © 1978

                https://www.cambridge.org/core/terms


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