Vortex-induced vibration (VIV) of two rigidly connected circular cylinders in side-by-side and tandem arrangements in the cross-flow direction was investigated using two-dimensional (2D) numerical simulations. The 2D Reynolds-Averaged Navier–Stokes (RANS) equations were solved for the flow, and the equation of the motion was solved for the response of the cylinders. Simulations were conducted for a constant mass ratio of 2.5, gap ratios G (ratio of the gap between the cylinders to the cylinder diameter) in the range of 0.5 to 3, and reduced velocities in the range of 1 to 30. The effects of the gap ratio on the response of the cylinders were analyzed extensively. The maximum response amplitude in the lock-in regime was found to occur at G = 0.5 in the side-by-side arrangement, which is about twice that of a single cylinder. In the side-by-side arrangement, the response regime of the cylinders for gap ratios of 1.5, 2, 2.5, and 3 is much narrower than that of a single cylinder, because the vortex shedding from the two cylinders is in an out-of-phase pattern at large reduced velocities. In the tandem arrangement, the maximum response amplitude of the cylinders is greater than that of a single cylinder for all the calculated gap ratios. For the gap ratio of 0.5 in the tandem arrangement, the vortex shedding frequency from the upstream cylinder was not observed in the vibration at large reduced velocities, and the response is galloping.

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School of Computing, Engineering

and Mathematics,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia
Institute for Infrastructure Engineering,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

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February 2016

Research-Article

# Numerical Simulation of Vortex-Induced Vibration of Two Rigidly Connected Cylinders in Side-by-Side and Tandem Arrangements Using RANS Model

Ming Zhao,

Ming Zhao

School of Computing, Engineering

and Mathematics;

and Mathematics;

Institute for Infrastructure Engineering,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

e-mail: m.zhao@uws.edu.au

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

e-mail: m.zhao@uws.edu.au

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Joshua M. Murphy,

Joshua M. Murphy

School of Computing, Engineering

and Mathematics,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

and Mathematics,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

Search for other works by this author on:

Kenny Kwok

Kenny Kwok

Institute for Infrastructure Engineering,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

Search for other works by this author on:

Ming Zhao

School of Computing, Engineering

and Mathematics;

and Mathematics;

Institute for Infrastructure Engineering,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

e-mail: m.zhao@uws.edu.au

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

e-mail: m.zhao@uws.edu.au

Joshua M. Murphy

and Mathematics,

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

Kenny Kwok

University of Western Sydney,

Locked Bag 1797,

Penrith, New South Wales 2751, Australia

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 2, 2014; final manuscript received May 19, 2015; published online September 3, 2015. Assoc. Editor: Francine Battaglia.

*J. Fluids Eng*. Feb 2016, 138(2): 021102 (13 pages)

**Published Online:**September 3, 2015

Article history

Received:

November 2, 2014

Revised:

May 19, 2015

Citation

Zhao, M., Murphy, J. M., and Kwok, K. (September 3, 2015). "Numerical Simulation of Vortex-Induced Vibration of Two Rigidly Connected Cylinders in Side-by-Side and Tandem Arrangements Using RANS Model." ASME. *J. Fluids Eng*. February 2016; 138(2): 021102. https://doi.org/10.1115/1.4031257

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