Abstract We present a numerical study on vortex-induced vibration (VIV) of a freely vibrating two degree-of-freedom circular cylinder in close proximity to a stationary plane wall. Fully implicit combined field scheme based on Petrov–Galerkin formulation has been employed to analyze the nonlinear effects of wall proximity on the vibrational amplitudes and hydrodynamic forces. Two-dimensional simulations are performed as a function of decreasing gap to cylinder diameter ratio e / D ∈ [ 0.5 , 10 ] for reduced velocities U ⁎ ∈ [ 2 , 10 ] at ReD=100 and ReL=2900, where ReD and ReL denote the Reynolds numbers based on the cylinder diameter and the upstream distance, respectively. We investigate the origin of enhanced streamwise oscillation of freely vibrating near-wall cylinder as compared to the isolated cylinder counterpart. For that purpose, detailed analysis of the amplitudes, frequency characteristics and the phase relations has been performed for the isolated and near-wall configurations. Initial and lower branches in the amplitude response are found from the gap ratios of 0.75 to 10, similar in nature to the isolated cylinder laminar VIV. A third response branch has been found between the initial and the lower branch at the gap ratio of e / D ≤ 0.60 . For near-wall cases, phase relation between drag force and streamwise displacement varies from close to 0° to 180°. Between e / D ∈ [ 5 , 7.5 ] , the effect of wall proximity on the frequency response tends to disappear. The effect of mass-ratio is further investigated. Finally, we introduce new correlations for characterizing peak amplitudes and forces as a function of the gap ratio for a cylinder vibrating in the vicinity of a stationary plane wall.

/pdf/streamwise-oscillations-of-freely-vibrating-circular-3zflxr6pr1.pdf

Streamwise Oscillations of Freely Vibrating Circular Cylinder in the Vicinity of a Stationary Wall

Vortex-induced vibrations of two rigidly coupled circular cylinders of unequal diameters at low Reynolds number

Passive fluid-induced vibration control of viscoelastic cylinder using nonlinear energy sink

Flow-induced vibration of two tandemly arranged circular cylinders with attached splitter plates

Vortex-induced vibrations of piggyback pipelines near the horizontal plane wall in the upper transition regime

Vortex-induced vibrations of two cylinders with different diameters close to a horizontal plane boundary at low Reynolds number

Large eddy simulations (LES) are carried out to investigate the flow around a vibrating cylinder in the subcritical Reynolds number regime at Re = 3900. Three reduced velocities, Ur = 3, 5, and 7, are chosen to investigate the wake structures in different branches of a vortex-induced vibration (VIV) lock-in. The instantaneous vortical structures are identified to show different coherent flow structures in the wake behind the vibrating cylinder for various branches of VIV lock-in. The combined effects of the frequency and amplitude of the oscillation on the flow pattern in the wake region, the hydrodynamic quantities of the cylinder, and the spanwise length scale of the energetic wake flow structures are discussed in detail. It is found that the typical spanwise lengths of the flow structures are [Formula: see text] at Ur = 5 and [Formula: see text] at [Formula: see text] in the near-wake region and level out at [Formula: see text] further downstream. Furthermore, multiscale proper orthogonal decomposition (mPOD) is used to analyze the dominant flow features in the wake region. With the increasing Ur, the total kinetic energy contribution of superharmonic modes increases and the contribution of subharmonic modes decreases. The dominant flow characteristics associated with the vortex shedding and their super harmonics, and the low-frequency modulation of the wake flow can be captured by the mPOD modes.

Large eddy simulations and modal decomposition analysis of flow past a cylinder subject to flow-induced vibration

Flow around two elastically-mounted cylinders with different diameters in tandem and staggered configurations in the subcritical Reynolds number regime

Marek Jan Janocha

Papers

Vortex-induced vibrations of piggyback pipelines near the horizontal plane wall in the upper transition regime

Vortex-induced vibrations of two cylinders with different diameters close to a horizontal plane boundary at low Reynolds number

Large eddy simulations and modal decomposition analysis of flow past a cylinder subject to flow-induced vibration

Flow around two elastically-mounted cylinders with different diameters in tandem and staggered configurations in the subcritical Reynolds number regime

Numerical simulations of flow-induced vibrations of two rigidly coupled cylinders with uneven diameters in the upper transition Reynolds number regime