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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
G. G. Rooney*
Affiliation:
Met Office, FitzRoy Road, Exeter EX1 3PB, UK
*
†Email address for correspondence: [email protected]
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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.

JFM classification

Convection: Convection in cavities Wakes/Jets: Jets Convection: Plumes/thermals
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 771 , 25 May 2015 , R1
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Copyright
© Crown Copyright. Published by Cambridge University Press 2015 

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References

Acheson, D. J. 1990 Elementary Fluid Dynamics. Oxford University Press.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar
Bush, J. W. M. & Woods, A. W. 1998 Experiments on buoyant plumes in a rotating channel. Geophys. Astrophys. Fluid Dyn. 89 (1–2), 1–22.CrossRefGoogle Scholar
Cenedese, C. & Linden, P. F. 2014 Entrainment in two coalescing axisymmetric turbulent plumes. J. Fluid Mech. 752, R2.Google Scholar
Devenish, B. J., Rooney, G. G. & Thomson, D. J. 2010 Large-eddy simulation of a buoyant plume in uniform and stably stratified environments. J. Fluid Mech. 652, 75–103.Google Scholar
Hunt, G. R. & Kaye, N. B. 2005 Lazy plumes. J. Fluid Mech. 533, 329–338.Google Scholar
Kaye, N. B. & Linden, P. F. 2004 Coalescing axisymmetric turbulent plumes. J. Fluid Mech. 502, 41–63.Google Scholar
Lai, A. C. H. & Lee, J. H. W. 2012 Dynamic interaction of multiple buoyant jets. J. Fluid Mech. 708, 539–575.Google Scholar
Lee, S.-L. & Emmons, H. W. 1961 A study of natural convection above a line fire. J. Fluid Mech. 11, 353–368.Google Scholar
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A 234, 1–23.Google Scholar
Stothers, R. B. 1989 Turbulent atmospheric plumes above line sources with an application to volcanic fissure eruptions on the terrestrial planets. J. Atmos. Sci. 46, 2662–2670.Google Scholar
Taylor, G. I. 1958 Flow induced by jets. J. Aero. Sci. 25, 464–465.Google Scholar
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.Google Scholar