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Merging of two or more plumes arranged around a circle

Published online by Cambridge University Press:  11 May 2016

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

A model is presented of merging turbulent plumes from sources evenly spaced around a horizontal circle in a quiescent, unstratified background. This follows the previously developed method of (i) identifying the boundaries of interacting plumes with velocity-potential contours of line sinks and (ii) closing the generalised plume equations with an entrainment assumption based on the integrated flux across the plume boundaries. It includes the simplest case of two merging plumes, as well as being applicable to plume flows in restricted corner configurations. The model is shown to display the expected limiting behaviour for the source plumes and the merged plume. Consideration of the plume fluxes in the merging region leads to a revision of the entrainment assumption. The resulting revised model compares satisfactorily with previous estimates of volume flux in two merging plumes.

JFM classification

Convection: Convection Convection: Plumes/thermals
Type
Papers
Information
Journal of Fluid Mechanics , Volume 796 , 10 June 2016 , pp. 712 - 731
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Copyright
© Crown Copyright. Published by Cambridge University Press 2016 

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