Identification of flow states around three staggered square cylinders at two symmetrical arrangements by a numerical investigation

Salwa Fezai, Fakher Oueslati and Brahim Ben-Beya ()
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Salwa Fezai: Physics Department, Samtah University College, Jazan University, 45142 Jazan, Kingdom of Saudi Arabia
Fakher Oueslati: #x2020;Laboratory of Physics of Fluids, Physics Department, Faculty of Science of Tunis, University of Tunis El-Manar, 2092 El-Manar 2, Tunis, Tunisia‡Physics Department, Faculty of Science, Albaha University, 6543 Al-Baha, Kingdom of Saudi Arabia
Brahim Ben-Beya: #x2020;Laboratory of Physics of Fluids, Physics Department, Faculty of Science of Tunis, University of Tunis El-Manar, 2092 El-Manar 2, Tunis, Tunisia

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 11, 1-27

Abstract: The fluid flow over three staggered square cylinders at two symmetrical arrangements has been numerically investigated in this study. The numerical calculations are carried out for several values of the Reynolds number (Re) ranging from 1 to 180. The results are presented in the form of vorticity contours and temporal histories of drag and lift coefficients. Furthermore, the physical parameters, namely, the average drag and lift coefficients and Strouhal number are presented as a function of Re. Two different states of flow are found in this work by systematically varying Re: steady and unsteady states. The transition to unsteady state regime is exhibited via Hopf bifurcation first in the second configuration followed consequently by the first one with critical Reynolds number of Rec=22.37 and Rec=22.45, respectively. It is observed that the bifurcation point of the steady regime to the unsteady one is very much influenced by the change in the geometry of the obstacle. The unsteady periodic wake is characterized by the Strouhal number, which varies with the Reynolds number and the obstacle geometry. Hence, the values of vortex shedding frequencies are estimated for both the considered configurations. Computations obtained also reveal that the spacing in the wake leads to reducing the pressure and enhancing the fluid flow velocity for both arrangements by monotonically strengthening the Reynolds number value. Furthermore, the drag and lift coefficients are determined, which allowed determining; the best configuration in terms of both lift and drag. It is observed that the drag force is dependent on the obstacle geometry and strengthens while lowering the Reynolds number. On the other hand, an opposite trend of the lift drag evolutions is observed for both configurations and considerably affected by the arrangements shape.

Keywords: Staggered square cylinders; flow regimes; vortex shedding; Strouhal number; numerical simulation; critical Reynolds number; lift and drag coefficients (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S012918312050151X

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