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On the development of dunes in erodible channels

Published online by Cambridge University Press:  29 March 2006

Jørgen Fredsøe
Jørgen Fredsøe
Affiliation:
Institute of Hydrodynamics and Hydraulic Engineering, Technical University of Denmark, DK 2800 Lyngby/Copenhagen
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 1 , 3 June 1974 , pp. 1 - 16
Copyright
© 1974 Cambridge University Press

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References

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.Google Scholar
Engelund F.1970 Instability of erodible beds. J. Fluid Mech., 42, 225–244.Google Scholar
Enuelund F.1971 The solitary sand wave (part I). Prog. Rep. Inst. Hydrodyn. & Hydraul. Engng, Tech. University of Denmark, no. 24, pp. 51–54.Google Scholar
Enuelund, F. & Fredsoe, J. 1971 Three-dimensional stability analysis of open channel Hydraul. Engng, Tech. University of Denmark, no. 24, pp. 51–54.Google Scholar
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.Google Scholar
Hayashi T.1970 Formation of dunes and antidunes in open channels. Proc. A.S.C.E. 96 (HY 2), 357–366.
Kennedy J. F.1963 The mechanics of dunes and antidunes in erodible bed channels. J. Fluid Mech., 16, 521–544.Google Scholar
Leliavsky S.1955 An Introduction to Fluid Hydraulics. London: Constable.
Lysne D. K.1969 Movement of sand in tunnels. Proc. A.S.C.E. 95, 1835–1846.
Meyer-Peter, E. & Müller, R. 1948 Formulas for bed-load transport. IAHSR, Rep. on 2nd Meeting, vol. 3, pp. 39–64.Google Scholar
Raichlen, F. & Kennedy J. F.1965 The growth of sediment bed forms from an initially Flattened bed. IAHR Congr., Leningrad, paper no. 37.Google Scholar
Reynolds A. J.1965 Waves on the erodible bed of an open channel. J. Fluid Mech., 22, 113–133.Google Scholar