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Invisicid and viscous models of axisymmetric fluid jets or plumes
Citation
Letchford, N and Forbes, LK and Hocking, GC, Invisicid and viscous models of axisymmetric fluid jets or plumes, The ANZIAM Journal: (Australian and New Zealand Industrial and Applied Mathematics), 53, (3) pp. 228-250. ISSN 1446-1811 (2012) [Refereed Article]
Copyright Statement
Copyright 2012 Australian Mathematical Society
DOI: doi:10.1017/S1446181112000156
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.
Item Details
Item Type: | Refereed Article |
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Keywords: | fluid jet, axisymmetric flow, inviscid theory, spectral methods, plume, Boussinesq approximation, entrainment |
Research Division: | Engineering |
Research Group: | Fluid mechanics and thermal engineering |
Research Field: | Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the mathematical sciences |
UTAS Author: | Letchford, N (Mr Nicholas Letchford) |
UTAS Author: | Forbes, LK (Professor Larry Forbes) |
ID Code: | 81050 |
Year Published: | 2012 |
Web of Science® Times Cited: | 7 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2012-11-22 |
Last Modified: | 2015-01-27 |
Downloads: | 1 View Download Statistics |
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