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Rectangular Cylinder Orientation and Aspect Ratio Impact on the Onset of Vortex Shedding

Author

Listed:
  • Neelam Tahir

    (Department of Mathematics, Air University, Islamabad 44000, Pakistan)

  • Waqas Sarwar Abbasi

    (Department of Mathematics, Air University, Islamabad 44000, Pakistan)

  • Hamid Rahman

    (Department of Mathematics & Statistics, Women University Swabi, Swabi 23430, Pakistan)

  • Mubarak Alrashoud

    (Department of Software Engineering and Research Chair of Smart Technologies, College of Computer and Information Sciences, King Saud University, Riyadh 11574, Saudi Arabia)

  • Ahmed Ghoneim

    (Department of Software Engineering and Research Chair of Smart Technologies, College of Computer and Information Sciences, King Saud University, Riyadh 11574, Saudi Arabia)

  • Abdulhameed Alelaiwi

    (Department of Software Engineering and Research Chair of Smart Technologies, College of Computer and Information Sciences, King Saud University, Riyadh 11574, Saudi Arabia)

Abstract

Rectangular cylinders have the potential to provide valuable insights into the behavior of fluids in a variety of real-world applications. Keeping this in mind, the current study compares the behavior of fluid flow around rectangular cylinders with an aspect ratio (AR) of 1:2 or 2:1 under the effect of the Reynolds number (Re). The incompressible lattice Boltzmann method is used for numerical computations. It is found that the flow characteristics are highly influenced by changes in the aspect ratio compared to the Reynolds number. The flow exhibits three different regimes: Regime I (steady flow), Regime II (initial steady flow that becomes unsteady afterward), and Regime III (completely unsteady flow). In the case of the cylinder with an aspect ratio of 2:1, vortex generation, variation in drag, and the lift coefficient occur much earlier at very low Reynolds numbers compared to the cylinder with an aspect ratio of 1:2. For the cylinder with an aspect ratio of 1:2, the Reynolds number ranges for Regimes I, II, and III are 1 ≤ Re ≤ 120, 121 ≤ Re ≤ 144, and 145 ≤ Re ≤ 200, respectively. For the cylinder with an aspect ratio of 2:1, the Reynolds number ranges for Regimes I, II, and III are 1 ≤ Re ≤ 24, 25 ≤ Re ≤ 39, and 40 ≤ Re ≤ 200, respectively. The cylinder with an aspect ratio of 1:2 is found to have the ability to stabilize the incoming flow due to its extended after-body flatness. Generally, it has been found that a cylinder with an AR of 2:1 is subjected to higher pressures, higher drag forces, higher curvatures of cross-flow rotations, and higher amplitudes of flow-induced drag, as well as higher lift coefficients and lower shedding frequencies, compared to cylinders with an AR of 1:2. In Regime III, elliptic and vertically mounted airfoil-like flow structures are also observed in the wake of the cylinders.

Suggested Citation

  • Neelam Tahir & Waqas Sarwar Abbasi & Hamid Rahman & Mubarak Alrashoud & Ahmed Ghoneim & Abdulhameed Alelaiwi, 2023. "Rectangular Cylinder Orientation and Aspect Ratio Impact on the Onset of Vortex Shedding," Mathematics, MDPI, vol. 11(22), pages 1-22, November.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4571-:d:1275781
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    References listed on IDEAS

    as
    1. Hamid Rahman & Shams-ul-Islam & Waqas Sarwar Abbasi & Raheela Manzoor & Fazle Amin & Zeeshan Alam, 2021. "Numerical Computations for Flow Patterns and Force Statistics of Three Rectangular Cylinders," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-12, November.
    2. Yuan Ma & Rasul Mohebbi & M. M. Rashidi & Zhigang Yang, 2018. "Numerical simulation of flow over a square cylinder with upstream and downstream circular bar using lattice Boltzmann method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-28, April.
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