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Instability of erodible beds
Published online by Cambridge University Press: 29 March 2006
Abstract
The stability of a sand bed in an alluvial channel is investigated by a two-dimensional mathematical model, based on the vorticity transport equation. The model takes account of the internal friction and describes the non-uniform distribution of the suspended sediment. It turns out that the inclusion of the friction and of a definite model of the sediment transport mechanism leads to results rather different from those obtained previously by potential-flow analysis.
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- © 1970 Cambridge University Press
References
Allen, J. R.
1968
Current Ripples.
Amsterdam:
North-Holland.
Boussinesq, J.
1877
Essai sur la theorie des eaux courantes.
Sci Math. et Phys. Tome XXIII.Google Scholar
Brown, C. B.
1949
Sediment transportation. Chapter XII in
Engineering Hydraulics. (Ed. H. Rouse)
London:
Wiley.
Engelund, F.
1964
A practical approach to self-preserving turbulent flows.
Acta Polytechnica Scandinavica,
p.
6.Google Scholar
Engulend, F.
1968
Linear theory of flow on a sinusoidal bed.
Basic Research Progress Report, no. 17. Techn. Univ. of Denmark,
1–5.Google Scholar
Engulend, F. & Hansen, E.
1966
Investigations of flow in alluvial streams.
Acta Polytechnica Scandinavica.Google Scholar
Guy, H. P., Simons, D. B. & Richardson, E. V.
1966
Summary of alluvial channel data from flume experiments. 1956–61.
Geological Survey Professional Paper 462–I,
1–96.Google Scholar
Hinze, I. O.
1959
Turbulence. London:
McGraw-Hill.
Kennedy, J. F.
1961
Stationary waves and antidunes in alluvial channels. Rep. no. KH-R-2,
W. M. Keck Lab. of Hydraulics and Water Res., California Institute of Technology.
Kennedy, J. F.
1963
The mechanics of dunes and antidunes in erodible bed channels.
J. Fluid Mech.
16,
521–44.Google Scholar
Meyer-Peter, E. & Müller, R.
1948
Formulas for bed-load transport.
IAHSR, Report on the Second Meeting, vol. 3,
39–64.Google Scholar
Reynolds, A. J.
1965
Waves on the erodible bed of an open channel.
J. Fluid Mech.
22,
113–133.Google Scholar
Rouse, H.
1939
Experiments on the mechanics of sediment suspension.
Proc. 5th Intern. Congr. Appl. Mech.Google Scholar
Vanoni, V.
1946
Transportation of suspended sediment in water.
Trans. ASCE,
111,
67–102.Google Scholar
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