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Unidirectional stratified flow through a non-rectangular channel

Unidirectional stratified flow through a non-rectangular channel
Unidirectional stratified flow through a non-rectangular channel
A self-similar solution describing stratified flow through a non-rectangular channel is derived. The solution shown here is an extension of Wood's (1968) solution for stratified withdrawal through a rectangular channel. We consider a restricted set of geometries (where the bottom of the channel is constrained to be flat) and calculate the flow, assuming first multi-layer stratification, and second continuous stratification. In the case of two-layer flow we prove that the self-similar solution is the only possible solution. The analytical solutions are corroborated by three-dimensional numerical model simulations.
0022-1120
83-92
Engqvist, A.
9f223f26-31ed-4b60-a493-0d202c78f681
Hogg, A.M.
df48090a-bbe6-4929-a94a-62a0aa7e5e8b
Engqvist, A.
9f223f26-31ed-4b60-a493-0d202c78f681
Hogg, A.M.
df48090a-bbe6-4929-a94a-62a0aa7e5e8b

Engqvist, A. and Hogg, A.M. (2004) Unidirectional stratified flow through a non-rectangular channel. Journal of Fluid Mechanics, 509, 83-92. (doi:10.1017/S0022112004009085).

Record type: Article

Abstract

A self-similar solution describing stratified flow through a non-rectangular channel is derived. The solution shown here is an extension of Wood's (1968) solution for stratified withdrawal through a rectangular channel. We consider a restricted set of geometries (where the bottom of the channel is constrained to be flat) and calculate the flow, assuming first multi-layer stratification, and second continuous stratification. In the case of two-layer flow we prove that the self-similar solution is the only possible solution. The analytical solutions are corroborated by three-dimensional numerical model simulations.

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Published date: 2004

Identifiers

Local EPrints ID: 15777
URI: http://eprints.soton.ac.uk/id/eprint/15777
ISSN: 0022-1120
PURE UUID: 8b8ab29c-48e6-468d-af90-32ed5541edd4

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Date deposited: 31 May 2005
Last modified: 15 Mar 2024 05:43

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Contributors

Author: A. Engqvist
Author: A.M. Hogg

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