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Merging of a row of plumes or jets with an application to plume rise in a channel

Published online by Cambridge University Press:  17 April 2015

G. G. Rooney*
Affiliation:
Met Office, FitzRoy Road, Exeter EX1 3PB, UK
*
Email address for correspondence: gabriel.rooney@metoffice.gov.uk

Abstract

The physical interpretation of velocity potential is used to propose a model of the mean flow boundary of a row of plumes or jets. Generalised plume equations incorporating the plume area and net entrainment are closed with an entrainment assumption. The resulting model is shown to approach the appropriate limiting similarity solutions above and below the merging height in an unstratified environment. The virtual origin of the far-field flow is hence predicted. An application to plume rise in channels of varying aspect ratio shows that the model may be used to predict the depth of the outflow along the channel.

Type
Rapids
Copyright
© Crown Copyright. Published by Cambridge University Press 2015 

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