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

Published online by Cambridge University Press:  01 April 2007

G. C. HOCKING  and
L. K. FORBES
G. C. HOCKING
Affiliation:
Mathematics & Statistics, Murdoch University, Murdoch, WA, 6150, Australia email: [email protected]
L. K. FORBES
Affiliation:
School of Mathematics & Physics, University of Tasmania, Hobart, Australia
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Abstract

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.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 18 , Issue 2 , April 2007 , pp. 181 - 193
Copyright
Copyright © Cambridge University Press 2007

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