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Waves in Newton's bucket

Mougel, Jérôme and Fabre, David and Lacaze, Laurent Waves in Newton's bucket. (2015) Journal of Fluid Mechanics, 783. 211-250. ISSN 0022-1120

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Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10006607&fileId=S0022112015005273

Abstract

The motion of a liquid in an open cylindrical tank rotating at a constant rate around its vertical axis of symmetry, a configuration called Newton’s bucket, is investigated using a linear stability approach. This flow is shown to be affected by several families of waves, all weakly damped by viscosity. The wave families encountered correspond to: surface waves which can be driven either by gravity or centrifugal acceleration, inertial waves due to Coriolis acceleration which are singular in the inviscid limit, and Rossby waves due to height variations of the fluid layer. These waves are described in the inviscid and viscous cases by means of mathematical considerations, global stability analysis and various asymptotic methods; and their properties are investigated over a large range of parameters (a, Fr), with a the aspect ratio and Fr the Froude number.

Item Type:Article
Additional Information:Thanks to Cambridge University Press . The definitive version is available at http://journals.cambridge.org The original PDF of the article can be found at Journal of Fluid Mechanics website : http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10006607&fileId=S0022112015005273
HAL Id:hal-01222211
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:29 Oct 2015 13:23

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