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Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves

Bridges, TJ and Donaldson, NM (2007) Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves PHYSICS OF FLUIDS, 19 (7). ? - ?. ISSN 1070-6631

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Abstract

A geometric view of criticality for two-layer flows is presented. Uniform flows are classified by diagrams in the momentum-massflux space for fixed Bernoulli energy, and cuspoidal curves on these diagrams correspond to critical uniform flows. Restriction of these surfaces to critical flow leads to new subsurfaces in energy-massflux space. While the connection between criticality and the generation of solitary waves is well known, we find that the nonlinear properties of these bifurcating solitary waves are also determined by the properties of the criticality surfaces. To be specific, the case of two layers with a rigid lid is considered, and application of the theory to other multilayer flows is sketched.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Technology, Physical Sciences, Mechanics, Physics, Fluids & Plasmas, Physics, FINITE-AMPLITUDE, FLUID, SURFACES
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 07 Nov 2013 14:09
URI: http://epubs.surrey.ac.uk/id/eprint/1483

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