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Waves and instabilities in rotating free surface flows

Mougel, Jérôme and Fabre, David and Lacaze, Laurent Waves and instabilities in rotating free surface flows. (2013) In: 21ème Congrès Français de Mécanique (CFM), 26 August 2013 - 30 August 2013 (Bordeaux, France). (Unpublished)

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Abstract

The stability properties of the rotating free surface flow in a cylindrical container is studied using a global stability approach, considering succesively three models. For the case of solid body rotation (Newton’s bucket), all eigenmodes are found to be stable, and are classified into three families : gravity waves, singular inertial modes, and Rossby waves. For the case of a potential flow, an instability is found. The mechanism is explained as a resonance between gravity waves and centrifugal waves, and is thought to be at the origin of the ”rotating polygon instability” observed in experiments where the flow is driven by rotation of the bottom plate (see [9]). Finally, we give some preliminary results concerning a third model : the Rankine vortex.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):National conference proceedings
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:04 Dec 2013 10:51

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