On the development of dunes in erodible channels

Author:

Fredsøe Jørgen

Abstract

A two-dimensional stability analysis of the flow in a straight alluvial channel has been carried out, using the vorticity transport equation. In the analysis an attempt has been made to account for the influence of gravity on bed-load transport, and this turned out to change the stability quite significantly.In the case of instability, the further growth of the dunes has been investigated using a second-order approximation, This nonlinear theory explains the experimental fact that the dunes very soon become asymmetric.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference12 articles.

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2. Anderson A. G. 1953 The characteristics of sediment waves formed by flow in open channels.Proc. 3rd Midwestern Conf. on Fluid Mech., University of Minnesota, Minneapolis, pp.379–395.

3. Leliavsky S. 1955 An Introduction to Fluid Hydraulics. London:Constable.

4. Guy, H. P. , Simons, D. B. & Richardson, E. V. 1966 Summary of alluvial channel data from flume experiments. 1956-61.Geol. Survey Prof. Paper, no. 462-1, pp.1–96.

5. Meyer-Peter, E. & Müller, R. 1948 Formulas for bed-load transport. IAHSR,Rep. on 2nd Meeting,vol. 3, pp.39–64.

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