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The linear vortex instability of the near-vertical line source plume in porous media

Citation

Rees, DAS and Postelnicu, A and Bassom, AP, The linear vortex instability of the near-vertical line source plume in porous media, Transport in Porous Media, 74, (2) pp. 221-238. ISSN 0169-3913 (2008) [Refereed Article]

Copyright Statement

Copyright Springer Science+Business Media B.V

DOI: doi:10.1007/s11242-007-9195-3

Abstract

Free convection plumes usually rise vertically, but do not do so when in an asymmetrical environment. In such cases they are susceptible to a thermoconvective instability because warmer fluid lies below cooler fluid in the upper half of the plume. We analyse the behaviour of streamwise vortex disturbances in plumes that are close to being vertical. The linearised equations subject to the boundary layer approximation are parabolic and are solved using a marching method. Our computations indicate that disturbances tend to be centred in the upper half of the plume. A neutral curve is determined and an asymptotic theory is developed to describe the right hand branch of this curve. The left hand branch is not amenable to an asymptotic analysis, and it is found that the onset of convection for small wavenumbers is very sensitively dependent on both the profile of the initiating disturbance and where it is introduced.

Item Details

Item Type:Refereed Article
Keywords:free convection, line source, plume, vortex instability
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105762
Year Published:2008
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2016-07-06
Downloads:0

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