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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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 717kB |
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 |
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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) |
Laboratory name: | |
Funders: | Agence Nationale de la Recherche |
Statistics: | download |
Deposited On: | 09 Sep 2015 09:57 |
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