Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-15T10:53:51.504Z Has data issue: false hasContentIssue false
  • English
  • Français

Two-layer hydraulics for a co-located crest and narrows

Published online by Cambridge University Press:  25 November 2008

LAURENCE ARMI  and
ULRIKE RIEMENSCHNEIDER
LAURENCE ARMI
Affiliation:
Scripps Institution of Oceanography, La Jolla, CA 92093-0225, USA
ULRIKE RIEMENSCHNEIDER
Affiliation:
St Columba's College, Whitechurch, Dublin 16, Ireland
Get access Rights & Permissions [Opens in a new window]

Abstract

The theory of two-layer hydraulics is extended to topography with co-varying width and height. When these variations of the non-dimensional width and total depth have a power law relationship, the solutions can still be presented in the Froude-number plane for both unidirectional and exchange flows. These differ from previous solutions, which were limited to treating width and height variations separately.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 615 , 25 November 2008 , pp. 169 - 184
Copyright
Copyright © Cambridge University Press 2008

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

REFERENCES

Armi, L. 1986 The hydraulics of two flowing layers with different densities. J. Fluid Mech. 163, 27–58.Google Scholar
Armi, L. & Farmer, D. M. 1986 Maximal two-layer exchange through a contraction with barotropic net flow. J. Fluid Mech. 164, 27–51.CrossRefGoogle Scholar
Dalziel, S. B. 1991 Two-layer hydraulics: a functional approach. J. Fluid Mech. 223, 135–163.Google Scholar
Dalziel, S. B. 1992 Maximal exchange in channels with nonrectangular cross section. J. Phys. Oceanogr. 22, 1188–1206.Google Scholar
Engqvist, A. & Hogg, A. McC. 2004 Unidirectional stratified flow through a non-rectangular channel. J. Fluid Mech. 509, 83–92.Google Scholar
Farmer, D. M. & Armi, L. 1986 Maximal two-layer exchange over a sill and through the combination of a sill and contraction with barotropic flow. J. Fluid Mech. 164, 53–76.CrossRefGoogle Scholar
Gill, A. E. 1977 The hydraulics of rotating-channel flow. J. Fluid Mech. 80, 641–671.Google Scholar
Lawrence, G. A. 1990 On the hydraulics of Boussinesq and non-Boussinesq two-layer flows. J. Fluid Mech. 215, 457–480.Google Scholar
Lawrence, G. A. 1993 The hydraulics of steady two-layer flow over a fixed obstacle. J. Fluid Mech. 254, 605–633.Google Scholar
Long, R. R. 1956 Long waves in a two-fluid system. J. Met. 13, 70–74.Google Scholar
Riemenschneider, U., Smeed, D. A. & Killworth, P. D. 2005 Theory of two-layer hydraulic exchange flows with rotation. J. Fluid Mech. 545, 373–395.Google Scholar
Wood, I. R. 1968 Selective withdrawal from a stably stratified fluid. J. Fluid Mech. 32, 209–223.Google Scholar