The University of Southampton
University of Southampton Institutional Repository

Multi-layer hydraulic exchange flows

Multi-layer hydraulic exchange flows
Multi-layer hydraulic exchange flows
Flows between ocean basins are often controlled by narrow channels and shallow sills. A multi-layer hydraulic control theory is developed for exchange flow through such constrictions. The theory is based on the inviscid shallow-water equations and extends the functional approach introduced by Gill (1977) and developed by Dalziel (1991). The flows considered are those in rectangular–cross-section channels connecting two large reservoirs, with a single constriction (sill and/or narrows). The exchange flow depends on the stratification in the two reservoirs, represented as a finite number of immiscible layers of (different) uniform density. For most cases the flow is ‘controlled’ at the constriction and often at other points along the channel (virtual controls) too. As with one- and two-layer hydraulics, controls are locations at which the flow passes from one solution branch to another, and at which (at least) one internal wave mode is stationary. The theory is applied to three-layer flows, which have two internal wave modes, predicting interface heights and layer fluxes from the given reservoir conditions. The theoretical results for three-layer flows are compared to a comprehensive set of laboratory experiments and found to give good agreement. The laboratory experiments also show other features of the flow, such as the formation of waves on the interfaces. The implications of the results for oceanographic flows and ocean modelling are discussed.
0022-1120
269-296
Lane-Serff, G.F.
129c1906-92f5-4c21-b039-f5d4790248f9
Smeed, D.A.
79eece5a-c870-47f9-bba0-0a4ef0369490
Postlethwaite, C.R.
bdbc944a-7528-478b-b3c4-5ee006606dbd
Lane-Serff, G.F.
129c1906-92f5-4c21-b039-f5d4790248f9
Smeed, D.A.
79eece5a-c870-47f9-bba0-0a4ef0369490
Postlethwaite, C.R.
bdbc944a-7528-478b-b3c4-5ee006606dbd

Lane-Serff, G.F., Smeed, D.A. and Postlethwaite, C.R. (2000) Multi-layer hydraulic exchange flows. Journal of Fluid Mechanics, 416, 269-296.

Record type: Article

Abstract

Flows between ocean basins are often controlled by narrow channels and shallow sills. A multi-layer hydraulic control theory is developed for exchange flow through such constrictions. The theory is based on the inviscid shallow-water equations and extends the functional approach introduced by Gill (1977) and developed by Dalziel (1991). The flows considered are those in rectangular–cross-section channels connecting two large reservoirs, with a single constriction (sill and/or narrows). The exchange flow depends on the stratification in the two reservoirs, represented as a finite number of immiscible layers of (different) uniform density. For most cases the flow is ‘controlled’ at the constriction and often at other points along the channel (virtual controls) too. As with one- and two-layer hydraulics, controls are locations at which the flow passes from one solution branch to another, and at which (at least) one internal wave mode is stationary. The theory is applied to three-layer flows, which have two internal wave modes, predicting interface heights and layer fluxes from the given reservoir conditions. The theoretical results for three-layer flows are compared to a comprehensive set of laboratory experiments and found to give good agreement. The laboratory experiments also show other features of the flow, such as the formation of waves on the interfaces. The implications of the results for oceanographic flows and ocean modelling are discussed.

Full text not available from this repository.

More information

Published date: 2000

Identifiers

Local EPrints ID: 1333
URI: https://eprints.soton.ac.uk/id/eprint/1333
ISSN: 0022-1120
PURE UUID: c134c909-cc41-4a6b-b3e6-e39fc6791902

Catalogue record

Date deposited: 16 Apr 2004
Last modified: 15 Jul 2019 19:39

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×