Numerical Simulation of Vortex Induced Vibration of Three Cylinders in Regular Triangle Arrangement at High Reynolds Number

Sayyaadi, Hassan; Motekallem, Abolfazl

doi:10.22034/ijcoe.2016.149272

Numerical Simulation of Vortex Induced Vibration of Three Cylinders in Regular Triangle Arrangement at High Reynolds Number

Authors

¹ Professor, Center of Excellence in Hydrodynamics and Dynamics of Marine Vehicles, Sharif University of Technology/ Scholl of Mechanical Engineering

² M.Sc. student, Sharif University of Technology/ School of Mechanical Engineering

10.22034/ijcoe.2016.149272

Abstract

This paper presents a three dimensional simulation of the vortex induced vibrations of three elastic cylinders in regular triangle arrangement at high Reynolds number. The motion of every single cylinder, which is free to oscillate in two degrees of freedom in a uniform flow and has the same mass and natural frequency in both X and Y directions, is modeled by a mass spring damping system. The displacement and lift forces for each cylinder are analyzed with five spacing ratios L/D changing from 2.5 to 6.5. The results indicate that the downstream cylinders are usually undergone serious fluctuating lift forces. It is found that the simultaneous resonance in the X and Y directions may occur for the downstream cylinders.
The stream wise oscillation of downstream cylinders could be as large as 0.54D, and the maximum transverse amplitude of three cylinders can reach to 2.30D. It is indicated that the cross flow oscillation amplitude of three cylinders significantly increased compared with the flow induced vibration of a single elastic cylinder and the stream wise oscillation of downstream cylinders is unneglectable for vortex induced vibration of multi cylinder system.

Keywords

20.1001.1.25382667.2016.1.4.1.4

References

[1] Catalano P., Wang M., Iaccarino G., Moin P.,” Numerical Simulation of the flow around a circular cylinder at high Reynolds number”. International Journal of Heat and Fluid Flow (2003) 24, 463-469. [2] Guilmineau E., Queutey P.,” Numerical simulation of vortex induced vibration of circular cylinder with low mass damping in a turbulent flow”. Journal of Fluids and structures 19 (2004), 449-466. [3] Huang Z., Olson J.A., Kerekes R.J., Green S.I.,” Numerical simulation of the flow around rows of cylinders”, Computers and Fluids 35 (2006), 485-491. [4] Lam K., Lin Y.F., Zou L., Liu Y.,” Experimental study and large eddy simulation of turbulent flow around tube bundles composed of wavy and circular cylinders”. International Journal of Heat and Fluid 31 (2010)32-44. [5] Mittal S., Kumar V.,” Flow induced vibration of circular cylinder in tandem and staggered arrangement”, Journal of Fluids and Structures 15 (2001), 717-736. [6] Ponta F.L., Aref H.,” Numerical experiments on vortex shedding from an oscillating cylinder”, Journal of Fluids and Structures 22 (2006), 327-344. [7] Williamson C.H.K.,” Three dimensional vortex dynamics in bluff body wakes”, Experimental Thermal and Fluid Science 12(1996), 150-168. [8] Ghias, R., Mittal, R., Dong, H.,” A sharp interface immersed boundary method for compressible viscous flows”, Journal of Computational Physics 225(2006), 528–553. [9] Govardhan, R., Williamson, C.H.K.,” Modes of vortex formation and frequency response for a freely vibrating cylinder”, Journal of Fluid Mechanics 420(2000), 85–130. [10] F. Saltara, A. D. Agostini Nato, J. I. Z Lopez. 2011. 3D CFD Simulation of Vortex induced Vibration of Cylinder. International Journal of Offshore and Polar Engineering. 21(3): 192–197.