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Wake of wavy elliptic cylinder at a low Reynolds number: wavelength effect

Published online by Cambridge University Press:  15 August 2023

Xiaoyu Shi Open the ORCID record for Xiaoyu Shi [Opens in a new window] ,
Honglei Bai Open the ORCID record for Honglei Bai [Opens in a new window] ,
Md. Mahbub Alam Open the ORCID record for Md. Mahbub Alam [Opens in a new window] ,
Chunning Ji  and
Hongjun Zhu
Xiaoyu Shi
Affiliation:
Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, PR China
Honglei Bai
Affiliation:
School of Aeronautics and Astronautics, Sun Yat-Sen University, Shenzhen Campus (Shenzhen Campus of Sun Yat-Sen University), Shenzhen 518107, PR China
Md. Mahbub Alam*
Affiliation:
Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, PR China
Chunning Ji
Affiliation:
State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, PR China
Hongjun Zhu
Affiliation:
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, PR China
*
† Email address for correspondence: alam@hit.edu.cn, alamm28@yahoo.com
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Abstract

Effects of the spanwise wavelength (λ) of a sinusoidal wavy cylinder with elliptic cross-section on wake structures and fluid forces are numerically investigated at a Reynolds number Re = 100. A wide range of the wavelength, $0.43 \le \lambda /{D_m} \le 8.59$, is considered with a wave amplitude of a/Dm = 0.048, where Dm is the hydraulic diameter of the wavy cylinder. Based on vortical structures, Strouhal number (St) and wake closure length (Lc), fluid forces, streamline topologies and spatio-temporal evolutions of the near wake, five distinct flow patterns (I–V) are identified depending on λ/Dm. The drag force reaches its minimum in pattern III, the fluctuating lift force is zero in flow patterns III and IV. Distinct from the classical flow where alternate vortex shedding occurs synchronously over the entire cylinder span, flow pattern IV has alternate vortex shedding over a one half-wavelength of the wavy elliptic cylinder, antiphased with that over the other half-wavelength, thus leading to zero fluctuating lift over one complete wavelength. A thorough comparison of the wakes is made between the wavy elliptic cylinder and wavy circular or square cylinder, distinguishing the underlying flow physics behind the salient behaviours observed.

JFM classification

Vortex Flows: Vortex shedding Wakes/Jets: Wakes

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Type
JFM Papers
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Journal of Fluid Mechanics , Volume 969 , 25 August 2023 , A22
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© The Author(s), 2023. Published by Cambridge University Press

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