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Unidirectional stratified flow through a non-rectangular channel

Published online by Cambridge University Press:  07 June 2004

ANDERS ENGQVIST  and
ANDREW McC. HOGG
ANDERS ENGQVIST
Affiliation:
Department of Systems Ecology, Stockholm University, SE-106 91 Stockholm, Sweden
ANDREW McC. HOGG
Affiliation:
James Rennell Division, Southampton Oceanography Centre, European Way, Southampton SO14 3ZH, UK
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 509 , 25 June 2004 , pp. 83 - 92
Copyright
© 2004 Cambridge University Press

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