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Free Content Dissipation in hydraulic transitions in flows through abyssal channels

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There is growing evidence from observations that mixing occurs in hydraulic jumps, or flow transitions, downstream of sills within channels connecting deep ocean basins or within submarine canyons on the flanks of mid-ocean ridges. Models with continuous profiles of velocity and density upstream and downstream of a transition, but conforming to continuity conditions, are devised to represent the mixing that occurs in a hydraulic jump in a stratified shear flow of finite depth moving over a horizontal boundary in a deep fluid. These are used to assess the conditions in which transitions may occur and to provide an estimate of the loss in the flux of energy carried by the flow. An increase in the thickness of the stratified flow layer is necessary as water passes through a transition. The rate of loss of energy flux per unit channel width in a transition is typically of order 6h(gh)3/2, where h is a measure of the thickness of the flow before transition, g the acceleration due to gravity and  = Δ/ (≪1), where Δ is half the difference in density between that in the flow approaching the transition and that in the overlying fluid, and  is the mean density. The mean rate of loss of energy in a transition in the flow of Antarctic Bottom Water over just one of the 6 – 8 sills in the Romanche Fracture Zone is estimated to be of order 60 MW (6 × 107 W).

Document Type: Research Article

DOI: http://dx.doi.org/10.1357/002224007780388711

Publication date: January 1, 2007

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  • The Journal of Marine Research publishes peer-reviewed research articles covering a broad array of topics in physical, biological and chemical oceanography. Articles that deal with processes, as well as those that report significant observations, are welcome. In the area of biology, studies involving coupling between ecological and physical processes are preferred over those that report systematics. Authors benefit from thorough reviews of their manuscripts, where an attempt is made to maximize clarity. The time between submission and publication is kept to a minimum; there is no page charge.
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