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Journal of Mechanical Science and Technology

, Volume 28, Issue 2, pp 539–552 | Cite as

Effect of Reynolds numbers on flow past four square cylinders in an in-line square configuration for different gap spacings

  • Waqas Sarwar Abbasi
  • Shams-Ul-Islam
  • Suvash C. Saha
  • Yuan Tong Gu
  • Zhou Chao Ying
Article

Abstract

In this paper two-dimensional (2-D) numerical investigation of flow past four square cylinders in an in-line square configuration are performed using the lattice Boltzmann method. The gap spacing g = s/d is set at 1, 3 and 6 and Reynolds number ranging from Re = 60 to 175. We observed four distinct wake patterns: (i) a steady wake pattern (Re = 60 and g = 1); (ii) a stable shielding wake pattern (80 ≤ Re ≤ 175 and g = 1); (iii) a wiggling shielding wake pattern (60 ≤ Re ≤ 175 and g = 3) and (iv) a vortex shedding wake pattern (60 ≤ Re ≤ 175 and g = 6). At g = 1, the Reynolds number is observed to have a strong effect on the wake patterns. It is also found that at g = 1, the secondary cylinder interaction frequency significantly contributes for drag and lift coefficients signal. It is found that the primary vortex shedding frequency dominates the flow and the role of secondary cylinder interaction frequency almost vanish at g = 6. It is observed that the jet between the gaps strongly influenced the wake interaction for different gap spacing and Reynolds number combination. To fully understand the wake transformations the details vorticity contour visualization, power spectra of lift coefficient signal and time signal analysis of drag and lift coefficients also presented in this paper.

Keywords

Four square cylinders In-line square configuration Lattice Boltzmann method Reynolds number Wake patterns 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Waqas Sarwar Abbasi
    • 1
  • Shams-Ul-Islam
    • 1
  • Suvash C. Saha
    • 2
  • Yuan Tong Gu
    • 2
  • Zhou Chao Ying
    • 3
  1. 1.Mathematics DepartmentCOMSATS Institute of Information TechnologyIslamabadPakistan
  2. 2.School of Chemistry, Physics and Mechanical EngineeringQueensland University of TechnologyBrisbaneAustralia
  3. 3.Shenzhen Graduate SchoolHarbin Institute of Technology Shenzhen University TownShenzhenChina

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