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Unidirectional stratified flow through a non-rectangular channel

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

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Abstract/Summary

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.

Item Type: Publication - Article
Digital Object Identifier (DOI): 10.1017/S0022112004009085
Date made live: 31 May 2005 +0 (UTC)
URI: https://nora.nerc.ac.uk/id/eprint/115777

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