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Physics of Fluids / Volume 24 / Issue 2 / ARTICLES / Laminar Flows

Phys. Fluids 24, 023603 (2012); http://dx.doi.org/10.1063/1.3683565 (20 pages)

Simulation of the flow around an upstream transversely oscillating cylinder and a stationary cylinder in tandem

Sheng Bao1, Sheng Chen1, Zhaohui Liu1, Jing Li1, Hanfeng Wang2, and Chuguang Zheng1

1State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430000, People's Republic of China
2National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha 410000, People's Republic of China

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(Received 22 December 2010; accepted 11 January 2012; published online 22 February 2012)

The flow around a transversely oscillating cylinder in tandem with a stationary cylinder was studied using the lattice Boltzmann method at Re = 100. The influences of spacing, oscillation frequency, and amplitude on the flow field were investigated in detail. It was found that, when the upstream cylinder oscillates with small amplitude, the flow pattern can be changed significantly from that of its fixed counterpart. First, the stagnation region ceases to exist. Second, the transition from the vortex suppression (VS) regime to the vortex formation (VF) regime appears earlier than when both cylinders are fixed. Moreover, the system has a wider frequency range of lock-in for both tandem cylinders in the VS regime, while the locked frequency range is slightly increased in the VF regime. The locked region of the tandem-paired cylinders is only slightly wider than that of a single oscillating cylinder. When the system is unlocked, different responses occur in the wakes of the two cylinders. Analysis of the power spectral of lift forces, lift phase portraits, and vorticity contours shows that the wake is regular under conditions of small spacing and small oscillating amplitude. However, with larger spacing, higher oscillating frequency or larger amplitude, the oscillation is powerful enough to dominate the flow field, inducing chaotic flow. The drag and lift forces of both oscillating and stationary cylinders are also discussed. The results reveal large differences between the case of one oscillating cylinder and that of two stationary tandem cylinders.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. NUMERICAL METHODS
  3. NUMERICAL VALIDATION
    1. Flow around a single oscillating cylinder
    2. Flow around two stationary cylinders in tandem
  4. RESULTS AND DISCUSSIONS
    1. Nonlinear spacing and amplitude effects
    2. Nonlinear frequency and amplitude effects at VS spacing (L/D = 2)
    3. Nonlinear frequency and amplitude effects at VF spacing (L/D = 4)
  5. CONCLUSIONS

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KEYWORDS and PACS

Keywords

chaos, confined flow, drag, flow simulation, fluid oscillations, laminar flow, lattice Boltzmann methods, spectral analysis, stagnation flow, vortices, wakes

PACS

  • 47.15.Rq

    Laminar flows in cavities, channels, ducts, and conduits

  • 47.60.-i

    Flow phenomena in quasi-one-dimensional systems

  • 47.52.+j

    Chaos in fluid dynamics

  • 47.15.Tr

    Laminar wakes

  • 47.15.ki

    Inviscid flows with vorticity

  • 47.11.Qr

    Lattice gas

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3683565

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    J. S. Leontini, B. E. Stewart, M. C. Thompson, and K. Hourigan, “Wake state and energy transitions of an oscillating cylinder at low Reynolds number,” Phys. Fluids 18, 067101 (2006)PHFLE6000018000006067101000001.

    G. V. Papaioannou, D. K. P. Yue, and M. S. Triantafyllou, “Evidence of holes in the Arnold tongues of flow past two oscillating cylinders,” Phys. Rev. Lett. 96, 014501 (2006).

    X. Yang and Z. C. Zheng, “Nonlinear spacing and frequency effects of an oscillating cylinder in the wake of a stationary cylinder,” Phys. Fluids 22, 043601 (2010)PHFLE6000022000004043601000001.

    H. Başağaoğlu1 and S. Succi, “Lattice-Boltzmann simulations of repulsive particle-particle and particle-wall interactions: Coughing and choking,” J. Chem. Phys. 132, 134111 (2010)JCPSA6000132000013134111000001.

    P. Lallemand and L. S. Luo, “Theory of the lattice Boltzmann method, dispersion, dissipation, isotropy, Galilean invariance, and stability,” Phys. Rev. E 61, 6546 (2000).

    B. Chun and A. J. C. Ladd, “Interpolated boundary condition for lattice Boltzmann simulations of flows in narrow gaps,” Phys. Rev. E 75, 066705 (2007).


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