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A note on the flow of a homogeneous intrusion into a two-layer fluid


Hocking, GC and Forbes, LK, A note on the flow of a homogeneous intrusion into a two-layer fluid, European Journal of Applied Mathematics, 18, (2) pp. 181-193. ISSN 0956-7925 (2007) [Refereed Article]

DOI: doi:10.1017/S0956792507006924


The intrusion of a constant density fluid at the interface of a two-layer fluid is considered. Numerical solutions are computed for a model of a steady intrusion resulting from flow down a bank and across a broad lake or reservoir. The incoming fluid is homogeneous and spreads across the lake at its level of neutral buoyancy. Solutions are obtained for a range of different inflow angles, flow rate and density differences. Except in extreme cases, the nature of the solution is predicted quite well by linear theory, with the wavelength at any Froude number given by a dispersion relation and wave steepness determined largely by entry angle. However, some extreme solutions with rounded meandering flows and non-unique solutions in the parameter space are also obtained. © 2007 Cambridge University Press.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
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:44351
Year Published:2007
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:2
Deposited By:Mathematics
Deposited On:2007-08-01
Last Modified:2012-03-05

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