Vortex Induced Vibrations of a Pair of Cylinders at Reynolds Number 1000

Abstract

Vortex induced vibrations of two equal-sized cylinders in tandem and staggered arrangement placed in uniform incompressible flow is studied. A stabilized finite element formulation is utilized to solve the governing equations. The Reynolds number for these 2D simulations is 1000. The cylinders are separated by 5.5 times the cylinder diameter in the streamwise direction. For the staggered arrangement, the cross-flow spacing between the two cylinders is 0.7 times the cylinder diameter. In this arrangement, the downstream cylinder lies in the wake of the upstream one and therefore experiences an unsteady inflow. The wake looses its temporal periodicity, beyond a few diameters downstream of the front cylinder. The upstream cylinder responds as an isolated single cylinder while the downstream one undergoes disorganized motion. Soft-lock-in is observed in almost all the cases.

Vortex-induced vibration of two circular cylinders at low Reynolds number

“…The cylinders were separated by a distance of 5:5D in the streamwise direction. A similar study was conducted later at Re ¼ 1000 (Mittal and Kumar, 2004).…”

Flow-induced oscillation of two circular cylinders in tandem arrangement at low Re

“…The term wake-induced flutter derives its name from its resemblance to classical flutter of airplane wings involving motions in two or more degrees of freedom. A similar study was later conducted for the Re ¼ 1000 flow (Mittal and Kumar, 2004). The present study is a comprehensive analysis of VIV of two cylinders for a range of reduced velocities (2oU Ã o15).…”

Vortex-induced vibration of a circular cylinder of finite length

“…[15][16][17][18] VIV of multiple cylinders in flows is also investigated experimentally and numerically. [19][20][21][22][23][24][25][26] Kondo, 27 Lucor et al, 28 and Navrose and Mittal 29 simulated VIV of a circular cylinder at relatively low Reynolds numbers in the turbulent flow regime by solving the 3D Navier-Stokes equations using the Petrov-Galerkin finite element method. Oscillatory flow induced vibration is studied by many researchers due to its relevance of response of offshore cylindrical structures in ocean waves.…”