Intermittency in free vibration of a cylinder beyond the laminar regime.

*(English)*Zbl 1415.76133Summary: Vortex-induced vibration of a circular cylinder that is free to move in the transverse \((Y)\) and streamwise \((X)\) directions is investigated at subcritical Reynolds numbers \((1500\lesssim Re\lesssim 9000)\) via three-dimensional (3-D) numerical simulations. The mass ratio of the system for all the simulations is \(m^*=10\). It is observed that while some of the characteristics associated with the \(XY\)-oscillation are similar to those of the \(Y\)-only oscillation (in line with the observations made by N. Jauvtis and C. H. K. Williamson [ibid. 509, 23–62 (2004; Zbl 1163.76348)], notable differences exist between the two systems with respect to the transition between the branches of the cylinder response in the lock-in regime. The flow regime between the initial and lower branch is characterized by intermittent switching in the cylinder response, aerodynamic coefficients and modes of vortex shedding. Similar to the regime of laminar flow, the system exhibits a hysteretic response near the lower- and higher-\(Re\) end of the lock-in regime. The frequency spectrum of time history of the cylinder response shows that the most dominant frequency in the streamwise oscillation on the initial branch is the same as that of the transverse oscillation.

##### MSC:

76D05 | Navier-Stokes equations for incompressible viscous fluids |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

76D17 | Viscous vortex flows |

76D25 | Wakes and jets |

74H45 | Vibrations in dynamical problems in solid mechanics |

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\textit{Navrose} and \textit{S. Mittal}, J. Fluid Mech. 870, Paper No. R2, 14 p. (2019; Zbl 1415.76133)

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