Fluid-structure interaction and flow-induced vibration in square cylinder arrangement under incompressible, ideal and irrotational cross flow are investigated in the present paper. The purpose of this study is to contribute to better understanding of external fluid loads exerted on long thin cylinders inducing the flow perturbations. Indeed, in presence of high flow confinement, the thin cylinders could be subjected to strong vibrations, which may lead to instability development and therefore to a risk of break or collision. The dynamic instability of the mobile tube, according to some geometric and flow parameters such as reduced velocity and pitch ratio, is then studied. A semi-analytical approach is used to determine a stability criterion of the dynamical system. In addition, the influence of key physical parameters on fluid-solid dynamics interaction is quantified in the studied configuration.

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