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Cellular vortex shedding from a cylinder at low Reynolds number

Published online by Cambridge University Press:  18 March 2021

Sanjay Mittal Open the ORCID record for Sanjay Mittal [Opens in a new window] ,
Jawahar Sivabharathy Samuthira Pandi  and
Mainak Hore
Sanjay Mittal*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Uttar Pradesh208016, India
Jawahar Sivabharathy Samuthira Pandi
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Uttar Pradesh208016, India
Mainak Hore
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Uttar Pradesh208016, India
*
†Email address for correspondence: [email protected]
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Abstract

Flow past a cylinder in the presence of side walls is investigated numerically for various combinations of Reynolds numbers ($50 \leqslant \textit {Re} \leqslant 100$) and aspect ratio ($5 \leqslant AR \leqslant 90$). Various attributes such as cellular shedding, dislocations, oblique angle of vortices and their structure near the end wall are studied. The complexity of the transitions in the wake, with $\textit {Re}$, increases with increase in $AR$. The flow is associated with a single cell wake for $AR=20$, at all the $\textit {Re}$ considered. For $AR$$=90$ the flow transitions from a one-cell to two-cell wake at $\textit {Re} \sim 50$, to a four-cell structure at $\textit {Re} \sim 55$ to a three-cell wake at $\textit {Re} \sim 58$, and then to a two-cell wake at $\textit {Re} \sim 61$. The vortices near the end wall diffuse for $Re\leqslant 58$ whereas linkages form between adjacent vortices of opposite polarity at larger $Re$. The frequency of dislocations increases with increase in $\textit {Re}$. Two types of dislocations have been identified: the fork type at relatively low Re and connected fork type at larger Re. Linkages between vortices in connected fork-type dislocations may lead to ring-like structures. The end conditions and nonlinear mechanisms play a significant role in the evolution of cellular shedding. A single cell across the span is the dominant mode of shedding in the linear regime. Compared with the linear analysis, nonlinearities result in smaller oblique angles, higher shedding frequency and larger streamwise speed of the convection of vortices.

JFM classification

Wakes/Jets: Vortex streets Wakes/Jets: Wakes Vortex Flows: Vortex shedding
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A74
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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