Skip to main content Accessibility help
×
Home

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

  • LAURENCE ARMI (a1) and ULRIKE RIEMENSCHNEIDER (a2)

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.

Copyright

References

Hide All
Armi, L. 1986 The hydraulics of two flowing layers with different densities. J. Fluid Mech. 163, 2758.
Armi, L. & Farmer, D. M. 1986 Maximal two-layer exchange through a contraction with barotropic net flow. J. Fluid Mech. 164, 2751.
Dalziel, S. B. 1991 Two-layer hydraulics: a functional approach. J. Fluid Mech. 223, 135163.
Dalziel, S. B. 1992 Maximal exchange in channels with nonrectangular cross section. J. Phys. Oceanogr. 22, 11881206.
Engqvist, A. & Hogg, A. McC. 2004 Unidirectional stratified flow through a non-rectangular channel. J. Fluid Mech. 509, 8392.
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, 5376.
Gill, A. E. 1977 The hydraulics of rotating-channel flow. J. Fluid Mech. 80, 641671.
Lawrence, G. A. 1990 On the hydraulics of Boussinesq and non-Boussinesq two-layer flows. J. Fluid Mech. 215, 457480.
Lawrence, G. A. 1993 The hydraulics of steady two-layer flow over a fixed obstacle. J. Fluid Mech. 254, 605633.
Long, R. R. 1956 Long waves in a two-fluid system. J. Met. 13, 7074.
Riemenschneider, U., Smeed, D. A. & Killworth, P. D. 2005 Theory of two-layer hydraulic exchange flows with rotation. J. Fluid Mech. 545, 373395.
Wood, I. R. 1968 Selective withdrawal from a stably stratified fluid. J. Fluid Mech. 32, 209223.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed