Continuously stratified exchange flow through a contraction in a channel
Continuously stratified exchange flow through a contraction in a channel
Existing solutions for exchange flow through straits rely upon the decomposition of
the flow into a finite number of layers which have constant density. In this paper we
provide a solution to inviscid steady exchange flow between continuously stratified
reservoirs, where it is assumed that the flow in each direction is independently self-similar. The solution requires knowledge only of the two reservoir stratifications and an imposed net barotropic throughflow. The solution includes regions of stagnant fluid which separate two counter-flowing, stably stratified layers, with the provision that the two active layers may touch at no more than one point. Comparison of the theoretical solution with numerical simulations indicates that the assumption of self-similarity is reasonable, and that the disparity between the theoretical and simulated flows can be attributed to the inclusion of diffusion and viscosity in the numerical model.
257-276
Hogg, Andrew McC.
b7d9aa01-9dae-4cfa-ab16-6a1ded2d6575
Killworth, Peter D.
cdb4e8d3-c5eb-48b8-860a-0b16473b5d44
2004
Hogg, Andrew McC.
b7d9aa01-9dae-4cfa-ab16-6a1ded2d6575
Killworth, Peter D.
cdb4e8d3-c5eb-48b8-860a-0b16473b5d44
Hogg, Andrew McC. and Killworth, Peter D.
(2004)
Continuously stratified exchange flow through a contraction in a channel.
Journal of Fluid Mechanics, 499, .
(doi:10.1017/S0022112003007171).
Abstract
Existing solutions for exchange flow through straits rely upon the decomposition of
the flow into a finite number of layers which have constant density. In this paper we
provide a solution to inviscid steady exchange flow between continuously stratified
reservoirs, where it is assumed that the flow in each direction is independently self-similar. The solution requires knowledge only of the two reservoir stratifications and an imposed net barotropic throughflow. The solution includes regions of stagnant fluid which separate two counter-flowing, stably stratified layers, with the provision that the two active layers may touch at no more than one point. Comparison of the theoretical solution with numerical simulations indicates that the assumption of self-similarity is reasonable, and that the disparity between the theoretical and simulated flows can be attributed to the inclusion of diffusion and viscosity in the numerical model.
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Published date: 2004
Identifiers
Local EPrints ID: 9820
URI: http://eprints.soton.ac.uk/id/eprint/9820
ISSN: 0022-1120
PURE UUID: 5a8a1661-a613-4e92-8810-ec0878d58db4
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Date deposited: 13 Oct 2004
Last modified: 15 Mar 2024 04:57
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Author:
Andrew McC. Hogg
Author:
Peter D. Killworth
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