Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-18T21:25:59.706Z Has data issue: false hasContentIssue false
  • English
  • Français

Instability of erodible beds

Published online by Cambridge University Press:  29 March 2006

Frank Engelund
Frank Engelund
Affiliation:
Hydraulic Laboratory, Technical University of Denmark
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 2 , 22 June 1970 , pp. 225 - 244
Copyright
© 1970 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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