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Unsteady plumes in planar flow of viscous and inviscid fluids
Citation
Forbes, LK and Hocking, GC, Unsteady plumes in planar flow of viscous and inviscid fluids, IMA Journal of Applied Mathematics, 78, (2) pp. 206-234. ISSN 0272-4960 (2013) [Refereed Article]
Copyright Statement
Copyright 2011 The Authors.
DOI: doi:10.1093/imamat/hxr045
Abstract
The planar flow of a light fluid into a surrounding heavier fluid is studied. The light fluid is released from the bottom through a vent, which may be at an angle and rises as a plume. It is removed at an upper permeable boundary, which is considered to be a horizontal surface, for simplicity. In the inviscid case, the plume approaches a steady-state configuration, which is well approximated by a one-dimensional asymptotic solution. The stability of the asymptotic solution is discussed. The viscous situation is modelled using Boussinesq theory and shows that entrainment of both fluids into the plume necessarily occurs, so that a steady-state configuration is not achieved. In both the viscous and the inviscid cases, the unsteady solutions are obtained using novel spectral techniques, and these are presented and discussed.
Item Details
Item Type: | Refereed Article |
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Keywords: | plume, asymptotic theory, stability, spectral methods, Boussinesq approximation, vorticity |
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: | Forbes, LK (Professor Larry Forbes) |
ID Code: | 84548 |
Year Published: | 2013 |
Web of Science® Times Cited: | 4 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2013-05-17 |
Last Modified: | 2015-01-27 |
Downloads: | 0 |
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