• Armi, L., 1986: The hydraulics of two flowing layers with different densities. J. Fluid Mech.,163, 27–58.

  • ——, and D. M. Farmer, 1986: Maximal two-layer exchange through a contraction with barotropic net flow. J. Fluid Mech.,164, 27–51.

  • ——, and R. Williams, 1993: The hydraulics of a stratifed fluid flowing through a contraction. J. Fluid Mech.,251, 355–375.

  • Baines, P. G., 1987: Upstream blocking and airflow over mountains. Annu. Rev. Fluid Mech.,19, 75–97.

  • ——, 1988: A general method for determining upstream effects in stratified flow of finite depth over long two-dimensional obstacles. J. Fluid Mech.,188, 1–22.

  • ——, 1995: Topographic Effects in Stratified Flows. Cambridge University Press, 482 pp.

  • Bormans, M., and C. Garrett, 1989: The effects of nonrectangular cross section, friction, and barotropic fluctuations on exchange through the Strait of Gibraltar. J. Phys. Oceanogr.,19, 1543–1557.

  • Bryden, H. L., and T. H. Kinder, 1991: Steady two-layer exchange through the Strait of Gibraltar. Deep-Sea Res.,38, 5445–5463.

  • ——, J. Candella, and T. H. Kinder, 1994: Exchange through the Strait of Gibraltar. Progress in Oceanography, Vol. 33, Pergamon, 201–248.

  • Cromwell, D., and D. A. Smeed, 1998: Altimetric observations of sea level cycles near the Strait of Bab al Mandab. Int. J. Remote Sens.,19, 1561–1578.

  • Dalziel, S. B., 1990: Rotating two-layer sill flows. The Physical Oceanography of Sea Straits, L. J. Pratt, Ed., Kluwer Academic, 343–371.

  • ——, 1991: Two-layer hydraulics: A functional approach. J. Fluid Mech.,223, 135–163.

  • ——, 1992: Maximal exchange in channels with nonrectangular cross sections. J. Phys. Oceanogr.,22, 1188–1206.

  • Denton, R. A., 1990: Classification of unidirectional three-layer flow over a bump. J. Hydraul. Res.,28, 215–223.

  • Engqvist, A., 1996: Self-similar multi-layer exchange flow through a contraction. J. Fluid Mech.,328, 49–66.

  • Farmer, D. M., and L. Armi, 1986: Maximal two-layer exchange over a sill and through the combination of a sill and contraction with barotropic flow. J. Fluid Mech.,164, 53–78.

  • ——, and ——, 1988: The flow of Mediterranean water through the Strait of Gibraltar. Progress in Oceanography, Vol. 27, Pergamon, 1–41.

  • Gill, A. E., 1977: The hydraulics of rotating channel flow. J. Fluid Mech.,80, 641–671.

  • Helfrich, K. R., 1995: Time-dependent two-layer hydraulic exchange flows. J. Phys. Oceanogr.,25, 359–373.

  • Hogg, N. G., 1983: Hydraulic control and flow separation in a multi-layered fluid with applications to the Vema Channel. J. Phys. Oceanogr.,13, 695–708.

  • Imberger, J., and J. C. Patterson, 1990: Physical limnology. Adv. Appl. Mech.,27, 303–475.

  • Killworth, P. D., 1992: On hydraulic control in a stratified fluid. J. Fluid Mech.,237, 605–626.

  • Lane-Serff, G. F., D. A. Smeed, and C. R. Postlethwaite, 2000: Multi-layer hydraulic exchange flows. J. Fluid Mech., in press.

  • Maillard, C., and G. Soliman, 1986: Hydrography of the Red Sea and exchanges with the Indian Ocean in summer. Oceanol. Acta,9, 249–269.

  • Murray, S. P., and W. Johns, 1997: Direct observations of seasonal exchange through the Bab el Mandab Strait. Geophys. Res. Lett.,24, 2557–2560.

  • Patzert, W. C., 1974: Wind induced reversal in the Red Sea circulation. Deep-Sea Res.,21, 109–121.

  • Pratt, L. J., and P. A. Lundberg, 1991: Hydraulics of rotating strait and sill flows. Annu. Rev. Fluid Mech.,23, 81–106.

  • ——, W. Johns, S. P. Murray, and K. Katsumata, 1999: Hydraulic interpretation of direct velocity measurements in the Bab al Mandab. J. Phys. Oceanogr.,29, 2769–2784.

  • ——, H. E. Deese, S. P. Murray, and W. Johns, 2000: Continuous dynamical modes in straits having arbitrary cross sections, with applications to the Bab al Mandab. J. Phys. Oceanogr.,30, 2515–2534.

  • Smeed, D., 1997: Seasonal variation of the flow in the Strait of Bab al Mandab. Oceanol. Acta,20, 773–781.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 372 95 8
PDF Downloads 207 69 6

Hydraulic Control of Three-Layer Exchange Flows: Application to the Bab al Mandab

David A. SmeedJames Rennell Division for Ocean Circulation and Climate, Southampton Oceanography Centre, Southampton, United Kingdom

Search for other papers by David A. Smeed in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

Two-layer hydraulic models have proven to be extremely useful in understanding a number of exchange flows through straits, for example, the Strait of Gibraltar. There are, though, some strait flows that cannot be represented by a two-layer model. A very striking example is the Bab al Mandab. In the exchange between the Red Sea and the Gulf of Aden, three distinct water masses are observed in the strait during summer. The wintertime flow is, though, very different, with only two layers observed in the strait.

In this paper a three-layer model of hydraulically controlled exchange flows is described The model can represent exchange flows that are controlled with respect to either the first or second (or both) internal modes. A number of different examples are discussed.

The model is able to explain the qualitative features of the seasonal variation of the flow in the Bab al Mandab. In particular, the reversal of the direction of flow of the surface layer and the intrusion into the Red Sea of cold intermediate water from the Gulf of Aden during the summer months can be explained by upwelling in the Gulf of Aden forced by the southwest monsoon.

Corresponding author address: Dr. David A. Smeed, James Rennell Division for Ocean Circulation and Climate, Southampton Oceanography Centre, Empress Dock, Southampton SO14 3ZH, United Kingdom.

Email: d.a.smeed@soc.soton.ac.uk

Abstract

Two-layer hydraulic models have proven to be extremely useful in understanding a number of exchange flows through straits, for example, the Strait of Gibraltar. There are, though, some strait flows that cannot be represented by a two-layer model. A very striking example is the Bab al Mandab. In the exchange between the Red Sea and the Gulf of Aden, three distinct water masses are observed in the strait during summer. The wintertime flow is, though, very different, with only two layers observed in the strait.

In this paper a three-layer model of hydraulically controlled exchange flows is described The model can represent exchange flows that are controlled with respect to either the first or second (or both) internal modes. A number of different examples are discussed.

The model is able to explain the qualitative features of the seasonal variation of the flow in the Bab al Mandab. In particular, the reversal of the direction of flow of the surface layer and the intrusion into the Red Sea of cold intermediate water from the Gulf of Aden during the summer months can be explained by upwelling in the Gulf of Aden forced by the southwest monsoon.

Corresponding author address: Dr. David A. Smeed, James Rennell Division for Ocean Circulation and Climate, Southampton Oceanography Centre, Empress Dock, Southampton SO14 3ZH, United Kingdom.

Email: d.a.smeed@soc.soton.ac.uk

Save