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A rapidly varied flow phenomenon in a two-layer flow

Published online by Cambridge University Press:  29 March 2006

D. L. Wilkinson
Affiliation:
Water Research Laboratory, University of New South Wales, Australia
I. R. Wood
Affiliation:
Water Research Laboratory, University of New South Wales, Australia

Abstract

This paper examines a region of rapidly varied flow in a two-layered density stratified system with one layer flowing, and the other stationary. The analogous phenomenon in open channel hydraulics is the hydraulic jump. In density stratified flows the phenomenon is referred to as a density jump because it is generally accompanied by a change in density of the flowing layer.

It is shown there is a fundamental difference between the hydraulic jump and the density jump in that flow conditions on either side of a density jump are not uniquely related. A density jump with given flow conditions upstream has a range of possible states which may be attained downstream. The rate of entrainment of ambient fluid into a density jump, and the conditions downstream of the jump, are determined by the downstream control and the upsteam conditions. The particular case of a density jump controlled by a broad crested weir downstream is examined in detail.

Type
Research Article
Copyright
© 1971 Cambridge University Press

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References

Bakhmeteff, B. A. 1932 Hydraulics of Open Channels. McGraw-Hill.
Ball, F. K. 1959 Antarctic Meteorology. Pergamon.
Benjamin, T. B. 1962 Theory of the vortex breakdown phenomenon. J. Fluid Mech. 14, 593629.
Ellison, T. H. & Turner, J. S. 1959 Turbulent entrainment in stratified flows J. Fluid Mech. 6, 423448.Google Scholar
Henderson, F. M. 1966 Open Channel flow. Macmillan.
Lied, N. T. 1964 Stationary hydraulic jumps in a katabatic flow near Davis, Antarctica, 1961. Inst. Met. Mag. no. 47.Google Scholar
Schweitzer, H. 1953 Attempts to explain the Föhn. Archiv. für Meteorologie, Geophysik und Hisclimatologie, A 5, 350.Google Scholar
Wilkinson, D. L. 1970 Studies in density stratified flows. University of N.S.W. Water Research Laboratory Report, no. 118.Google Scholar
Yih, C. S. & Guha, C. R. 1955 Hydraulic jump in a fluid system of two layers Tellus, 7, 358366.Google Scholar