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Weakly Nonlinear Model with Exact Coefficients for the Fluttering and Spiraling Motion of Buoyancy-Driven Bodies

Tchoufag, Joël and Fabre, David and Magnaudet, Jacques Weakly Nonlinear Model with Exact Coefficients for the Fluttering and Spiraling Motion of Buoyancy-Driven Bodies. (2015) Physical Review Letters, 115 (11). 1-5. ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.115.114501

Abstract

Gravity- or buoyancy-driven bodies moving in a slightly viscous fluid frequently follow fluttering or helical paths. Current models of such systems are largely empirical and fail to predict several of the key features of their evolution, especially close to the onset of path instability. Here, using a weakly nonlinear expansion of the full set of governing equations, we present a new generic reduced-order model based on a pair of amplitude equations with exact coefficients that drive the evolution of the first pair of unstable modes. We show that the predictions of this model for the style (e.g., fluttering or spiraling) and characteristics (e.g., frequency and maximum inclination angle) of path oscillations compare well with various recent data for both solid disks and air bubbles.

Item Type:Article
Additional Information:Thanks to American Physical Society editor. The definitive version is available at http://journals.aps.org The original PDF of the article can be found at American Physical Society website : http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.114501
HAL Id:hal-01196195
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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Agence Nationale de la Recherche
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Deposited On:09 Sep 2015 09:57

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