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Onset of vortex shedding around a short cylinder

Published online by Cambridge University Press:  20 December 2021

Yongliang Yang Open the ORCID record for Yongliang Yang [Opens in a new window] ,
Zhe Feng  and
Mengqi Zhang Open the ORCID record for Mengqi Zhang [Opens in a new window]
Yongliang Yang
Affiliation:
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, PR China Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, 117575 Republic of Singapore
Zhe Feng
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, 117575 Republic of Singapore
Mengqi Zhang*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, 117575 Republic of Singapore
*
†Email address for correspondence: [email protected]
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Abstract

This paper presents results of three-dimensional direct numerical simulations (DNS) and global linear stability analyses of a viscous incompressible flow past a finite-length cylinder with two free flat ends. The cylindrical axis is normal to the streamwise direction. The work focuses on the effects of aspect ratios (in the range of $0.5\leq {\small \text{AR}} \leq 2$, cylinder length over diameter) and Reynolds numbers ($Re\leq 1000$ based on cylinder diameter and uniform incoming velocity) on the onset of vortex shedding in this flow. All important flow patterns have been identified and studied, especially as ${\small \text{AR}}$ changes. The appearance of a steady wake pattern when ${\small \text{AR}} \leq 1.75$ has not been discussed earlier in the literature for this flow. Linear stability analyses based on the time-mean flow has been applied to understand the Hopf bifurcation past which vortex shedding happens. The nonlinear DNS results indicate that there are two vortex shedding patterns at different $Re$, one is transient and the other is nonlinearly saturated. The vortex-shedding frequencies of these two flow patterns correspond to the eigenfrequencies of the two global modes in the stability analysis of the time-mean flow. Wherever possible, we compare the results of our analyses to those of the flows past other short-${\small \text{AR}}$ bluff bodies in order that our discussions bear more general meanings.

JFM classification

Vortex Flows: Vortex shedding Wakes/Jets: Wakes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 933 , 25 February 2022 , A7
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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