Weakly nonlinear analysis of the flutter motion of thin cylindersReport as inadecuate

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1 IMFT - Institut de mécanique des fluides de Toulouse

Abstract : The nature overflows with examples which prove that buoyancy-driven objects in a viscous medium can result in diverse and exotic trajectories. Among them is found the so-called Zig-Zag ZZpath or flutter which we investigate in the present work. The configuration is that of a thin cylinder initially rising-falling vertically in an unbounded fluid otherwise at rest. The problem is parametrized by the aspect ratio diameter to thickness X, the moment of inertia I* and Archimedes number gravitational-velocity-based Reynolds Ar. For small I*, past studies have reported asupercritical transition from the vertical to the ZZ path at a critical Arc. We show by means of linear and weakly nonlinear analyses that the observed flutter results from the nonlinear saturation of an unstable global mode of the coupled fluid+disk problem.

Keywords : wake Instability Asymptotic expansion

Author: Joël Tchoufag - David Fabre - Jacques Magnaudet -

Source: https://hal.archives-ouvertes.fr/


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