The Effects of Nonrectangular Cross Section, Friction, and Barotropic Fluctuations on the Exchange through the Strait of Gibraltar

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Abstract
The inviscid two-layer hydraulic model of Farmer and Armi has two types of solution in the eastern end of the Strait of Gibraltar for flow that is critical at Camarinal Sill. The solution corresponding to maximal exchange has a fast supercritical flow with a shallow interface whereas the solutions corresponding to submaximal exchange show a much slower subcritical flow with a rather deep interface. We extend their model to include physically important effects such as nonrectangular cross section, friction and barotropic fluctuations. Allowing for realistic cross sections reduces the exchange and raises the interface everywhere along the strait. Realistic interfacial friction has little influence on the exchange but lateral friction at the sloping sides of the cross sections has a significant effect on the flow and brings the two solutions (supercritical and subcritical) closer together. The effect of the earth's rotation is also summarized but dealt with in more detail in a companion paper by Bor... Abstract The inviscid two-layer hydraulic model of Farmer and Armi has two types of solution in the eastern end of the Strait of Gibraltar for flow that is critical at Camarinal Sill. The solution corresponding to maximal exchange has a fast supercritical flow with a shallow interface whereas the solutions corresponding to submaximal exchange show a much slower subcritical flow with a rather deep interface. We extend their model to include physically important effects such as nonrectangular cross section, friction and barotropic fluctuations. Allowing for realistic cross sections reduces the exchange and raises the interface everywhere along the strait. Realistic interfacial friction has little influence on the exchange but lateral friction at the sloping sides of the cross sections has a significant effect on the flow and brings the two solutions (supercritical and subcritical) closer together. The effect of the earth's rotation is also summarized but dealt with in more detail in a companion paper by Bor...