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A quasi-static approach to the stability of the path of heavy bodies falling within a viscous fluid

Fabre, David and Assemat, Pauline and Magnaudet, Jacques A quasi-static approach to the stability of the path of heavy bodies falling within a viscous fluid. (2011) Journal of Fluids and Structures, vol. 27 (n° 5-6). pp. 758-767. ISSN 0889-9746

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Official URL: http://dx.doi.org/10.1016/j.jfluidstructs.2011.03.013

Abstract

We consider the gravity-driven motion of a heavy two-dimensional rigid body freely falling in a viscous fluid.We introduce a quasi-static linear model of the forces and torques induced by the possible changes in the body velocity,or by the occurrence of a nonzero incidence angle or a spanwise rotation of the body. The coefficients involved in this model are accurately computed over a full range of Reynolds number by numerically resolving the Navier 13Stokes equations, considering three elementary situations where the motion of the body is prescribed. The falling body is found to exhibit three distinct eigenmodes which are always damped in the case of a thin plate with uniform mass loading or a circular cylinder,but may be amplified for other geometries,such as in the case of a square cylinder.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at http://www.sciencedirect.com/science/article/pii/S0889974611000429
HAL Id:hal-00908806
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 - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Jacques MAGNAUDET
Deposited On:25 Nov 2013 11:50

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