A numerical investigation of the flow over a pair of identical square cylinders in a tandem arrangement

SUMMARY This paper describes a numerical study of the two-dimensional and three-dimensional unsteady flow over two square cylinders arranged in an in-line configuration for Reynolds numbers from 40 to 1000 and a gap spacing of 4D, where D is the cross-sectional dimension of the cylinders. The effect of the cylinder spacing, in the range G = 0.3D to 12D, was also studied for selected Reynolds numbers, that is, Re = 130, 150 and 500. An incompressible finite volume code with a collocated grid arrangement was employed to carry out the flow simulations. Instantaneous and time-averaged and spanwise-averaged vorticity, pressure, and streamlines are computed and compared for different Reynolds numbers and gap spacings. The time averaged global quantities such as the Strouhal number, the mean and the RMS values of the drag force, the base suction pressure, the lift force and the pressure coefficient are also calculated and compared with the results of a single cylinder. Three major regimes are distinguished according to the normalized gap spacing between cylinders, that is, the single slender-body regime (G < 0.5), the reattach regime (G < 4) and co-shedding or binary vortex regime (G ≥4). Hysteresis with different vortex patterns is observed in a certain range of the gap spacings and also for the onset of the vortex shedding. Copyright © 2011 John Wiley & Sons, Ltd.

[1]  Lars Davidson,et al.  Numerical simulation of unsteady low-Reynolds number flow around rectangular cylinders at incidence , 1997 .

[2]  Jiro Mizushima,et al.  Instability and transition of flow past two tandem circular cylinders , 2005 .

[3]  C. Norberg Fluctuating lift on a circular cylinder: review and new measurements , 2003 .

[4]  S. Yen,et al.  Interactions of tandem square cylinders at low Reynolds numbers , 2008 .

[5]  A. Etminan,et al.  Forced‐convection heat transfer from tandem square cylinders in cross flow at low Reynolds numbers , 2009 .

[6]  Osamu Inoue,et al.  Aeolian tones radiated from flow past two square cylinders in tandem , 2006 .

[7]  C. Williamson Three-dimensional wake transition , 1996, Journal of Fluid Mechanics.

[8]  A. Sohankar Flow over a bluff body from moderate to high Reynolds numbers using large eddy simulation , 2006 .

[9]  Shmuel Einav,et al.  A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder , 1995, Journal of Fluid Mechanics.

[10]  M. M. Zdravkovich,et al.  REVIEW—Review of Flow Interference Between Two Circular Cylinders in Various Arrangements , 1977 .

[11]  Lars Davidson,et al.  Low-Reynolds-number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition , 1998 .

[12]  S. C. Luo,et al.  Characteristics of square cylinder wake transition flows , 2003 .

[13]  M. Provansal,et al.  Bénard-von Kármán instability: transient and forced regimes , 1987, Journal of Fluid Mechanics.

[14]  Hiroshi Sakamoto,et al.  SUPPRESSION OF FLUID FORCES ACTING ON TWO SQUARE PRISMS IN A TANDEM ARRANGEMENT BY PASSIVE CONTROL OF FLOW , 2002 .

[15]  M. Thompson,et al.  THE PHYSICAL MECHANISM OF TRANSITION IN BLUFF BODY WAKES , 2001 .

[16]  K. Lam,et al.  Three-dimensional numerical simulations of cross-flow around four cylinders in an in-line square configuration , 2010 .

[17]  L. Davidson,et al.  Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models , 2000 .

[18]  M. Braza,et al.  Physical analysis of the transition to turbulence in the wake of a circular cylinder by three-dimensional Navier–Stokes simulation , 1998, Journal of Fluid Mechanics.

[19]  C. Norberg Flow around a Circular Cylinder: Aspects of Fluctuating Lift , 2001 .

[20]  C. Norberg An experimental investigation of the flow around a circular cylinder: influence of aspect ratio , 1994, Journal of Fluid Mechanics.

[21]  Michael S. Triantafyllou,et al.  Three-dimensionality effects in flow around two tandem cylinders , 2006, Journal of Fluid Mechanics.

[22]  Hiroshi Sakamoto,et al.  Fluctuating forces acting on two square prisms in a tandem arrangement , 1987 .

[23]  L. Davidson,et al.  Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers , 1999 .

[24]  Jerry M Chen,et al.  Observations of hysteresis in flow around two square cylinders in a tandem arrangement , 2002 .