Inviscid and viscous models of axisymmetric fluid jets or plumes

N.A. Letchford; L.K. Forbes; G.C. Hocking

doi:10.1017/S1446181112000156

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Inviscid and viscous models of axisymmetric fluid jets or plumes

Journal article

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Inviscid and viscous models of axisymmetric fluid jets or plumes

N.A. Letchford, L.K. Forbes and G.C. Hocking

ANZIAM Journal, Vol.53(03), pp.228-250

2012

DOI: https://doi.org/10.1017/S1446181112000156

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Abstract

The vertical rise of a round plume of light fluid through a surrounding heavier fluid is considered. An inviscid model is analysed in which the boundary of the plume is taken to be a sharp interface. An efficient spectral method is used to solve this nonlinear free-boundary problem, and shows that the plume narrows as it rises. A generalized condition is also introduced at the boundary, and allows the ambient fluid to be entrained into the rising plume. In this case, the fluid plume first narrows then widens as it rises. These features are confirmed by an asymptotic analysis. A viscous model of the same situation is also proposed, based on a Boussinesq approximation. It qualitatively confirms the widening of the plume due to entrainment of the ambient fluid, but also shows the presence of vortex rings around the interface of the rising plume.

Details

Title: Inviscid and viscous models of axisymmetric fluid jets or plumes
Authors/Creators: N.A. Letchford (Author/Creator) - University of Tasmania
L.K. Forbes (Author/Creator) - University of Tasmania
G.C. Hocking (Author/Creator) - Murdoch University
Publication Details: ANZIAM Journal, Vol.53(03), pp.228-250
Publisher: Cambridge University Press
Identifiers: 991005541164207891
Copyright: © 2012 Australian Mathematical Society
Murdoch Affiliation: School of Chemical and Mathematical Science
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration
Citation topics: 7 Engineering & Materials Science; 7.177 Combustion; 7.177.1573 Fire Dynamics
Web Of Science research areas: Mathematics, Applied
ESI research areas: Mathematics