Abstract
The vortex induced vibrations (VIVs) of a pivoted cylinder with finite height have been numerically investigated. A mathematical model is introduced and described, and the resulting equations are numerically solved for low Reynolds number Re = 100, 200 and several combinations of the governing parameters. Results on the solid body trajectories, the maximum amplitude of the oscillations, the hydrodynamic force coefficients, the wake structure, and details on the vortex shedding near the cylinder are presented and discussed. The numerical results compare reasonably well with the canonical system of VIV of two-degrees of freedom circular cylinder in the laminar regime. Also, qualitative similarities with closely related VIV systems at larger Re suggest interesting lines of future research. Analytical approximations for limiting cases are done and an excellent agreement with the numerical results is obtained.
Highlights
Vortex induced vibrations (VIV) of bluff bodies are present and have a determinant role in many physical problems
The principal advances in the understanding of the fundamental physical characteristics of such systems have been achieved through the study of canonical problems of flow around elastically mounted or flexible cylinders
The relevant non-dimensional parameter of this kind of systems used to characterize the lock-in range is the reduced velocity, u∗r = u0/fnd, which is the inverse of the natural frequency of the system scaled by the factor u0/d, where u0 is a representative velocity of the flow and d is the diameter of the cylinder
Summary
Vortex induced vibrations (VIV) of bluff bodies are present and have a determinant role in many physical problems. 1dof and 2dof elastically mounted cylinders have been the main systems of investigation, and the most relevant information on VIV has been obtained through the study of these systems. Two very interesting features of the pivoted cylinder shown in both studies are that vortex dislocations are present (as in the case of the fixed cantilevered cylinder6,24,25) and that different vortex-shedding patterns are obtained along the span of the cylinder. In many practical cases fixed points exist and give place to non-uniform amplitudes of oscillation along the span of the cylinder This gives place to different vortex-shedding patterns and dynamical properties of the system. The objective of the present contribution is to introduce a mathematical model for this kind of systems and use it to numerically study the VIV of a pivoted cylinder of finite height at low Reynolds number.
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