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

journal contribution
posted on 2023-05-16, 19:11 authored by Hocking, GC, Lawrence ForbesLawrence Forbes
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.

Funding

Australian Research Council

History

Publication title

European Journal of Applied Mathematics

Volume

18

Pagination

181-193

ISSN

0956-7925

Department/School

School of Natural Sciences

Publisher

Cambridge University Press

Place of publication

New York, USA

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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