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Rayleigh-Taylor instability of an inclined buoyant viscous cylinder

Lister, John R.; Kerr, Ross; Russell, Nick J; Crosby, Andrew

Description

The Rayleigh-Taylor instability of an inclined buoyant cylinder of one very viscous fluid rising through another is examined through linear stability analysis, numerical simulation and experiment. The stability analysis represents linear eigenmodes of a given axial wavenumber as a Fourier series in the azimuthal direction, allowing the use of separable solutions to the Stokes equations in cylindrical polar coordinates. The most unstable wavenumber k is long-wave if both the inclination angle...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/67107
Source: Journal of Fluid Mechanics
DOI: 10.1017/S0022112010005689

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