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Flow around an Oscillating Cylinder at Low Reynolds Number with Forced Convection: Effect of Corner Radius and Reynolds Number

Author

Listed:
  • Yuvraj Sarout

    (Department of Mechanical Engineering, Khalifa University of Science and Technology, Abu Dhabi P.O. Box 127788, United Arab Emirates)

  • Md. Islam

    (Department of Mechanical Engineering, Khalifa University of Science and Technology, Abu Dhabi P.O. Box 127788, United Arab Emirates)

  • Yap Fatt

    (Department of Mechanical Engineering, Khalifa University of Science and Technology, Abu Dhabi P.O. Box 127788, United Arab Emirates)

  • Isam Janajreh

    (Department of Mechanical Engineering, Khalifa University of Science and Technology, Abu Dhabi P.O. Box 127788, United Arab Emirates)

Abstract

This numerical study investigated the flow-induced vibration (FIV) on non-heated and heated cylinders with different normalized corner radii ( r* ) at different Reynolds numbers (Re). Four different values of r* were considered (i.e., 0 (square cylinder), 0.5, 0.75, and 1.0 (circular cylinder)) at three different Re: 100, 150, and 200 within the laminar regime. The cylinder constrained in the axial direction and oscillated transversally was considered for a fixed nondimensional cylinder mass ( m * ) of 10 and a reduced velocity ( Ur ) of 4.92. The effect of r* and Re could be seen in the vibration modes of cylinders. The two-dimensional incompressible Navier–Stokes and energy equations were solved together with Newton’s Second Law governing the motion of the cylinder with the help of a computational solver. Four different modes were observed in this study: Mode-I characterized by exceptionally low amplitude; Mode-II characterized by fluctuating amplitude known as hysteresis (beating); Mode-III characterized by high amplitude due to synchronization or lock-in; and Mode-IV characterized by the monotonic oscillation of fixed amplitude. For r* = 1, synchronization phenomenon/lock-in was observed. For the heated cylinder cases, due to the change in the normalized corner radius, a notable change in nondimensional vibrational amplitude A / D and the average Nusselt number N u a v g was seen. It was observed that A/D was higher when lock-in occurred (at Re = 100 and r* = 1), leading to a rise in N u a v g by 47.9% compared to Re = 100 and r* = 0. Due to the change in r* , a shifting phenomenon was observed at Re = 150, r* = 0.75 and Re = 200, r* = 1. A major change in N u a v g was observed from the circular cylinder to square cylinder at different Re. The beating phenomenon was observed at Re = 100 for r* = 0.75, which was similar to that occurring at Re = 150 and r* = 0.5, and those at Re = 200 and r* = 0. Heat transfer and wake structure parameters were found to be dependent on r* and Re.

Suggested Citation

  • Yuvraj Sarout & Md. Islam & Yap Fatt & Isam Janajreh, 2022. "Flow around an Oscillating Cylinder at Low Reynolds Number with Forced Convection: Effect of Corner Radius and Reynolds Number," Energies, MDPI, vol. 15(23), pages 1-23, December.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:23:p:9145-:d:991555
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    References listed on IDEAS

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    1. Lin Ding & Qunfeng Zou & Li Zhang & Haibo Wang, 2018. "Research on Flow-Induced Vibration and Energy Harvesting of Three Circular Cylinders with Roughness Strips in Tandem," Energies, MDPI, vol. 11(11), pages 1-17, November.
    2. Md. Mahbub Alam, 2021. "Effects of Mass and Damping on Flow-Induced Vibration of a Cylinder Interacting with the Wake of Another Cylinder at High Reduced Velocities," Energies, MDPI, vol. 14(16), pages 1-13, August.
    3. Paulo Guimarães de Moraes & Luiz Antonio Alcântara Pereira, 2021. "Surface Roughness Effects on Flows Past Two Circular Cylinders in Tandem Arrangement at Co-Shedding Regime," Energies, MDPI, vol. 14(24), pages 1-21, December.
    4. Ussama Ali & Md. Islam & Isam Janajreh & Yap Fatt & Md. Mahbub Alam, 2021. "Flow-Induced Vibrations of Single and Multiple Heated Circular Cylinders: A Review," Energies, MDPI, vol. 14(24), pages 1-48, December.
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