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Three-dimensional transition in the wake of two tandem rotating cylinders

Published online by Cambridge University Press:  08 November 2022

Suresh Behara Open the ORCID record for Suresh Behara [Opens in a new window] ,
Venu Chandra  and
N.R. Prashanth
Suresh Behara*
Affiliation:
Department of Mechanical Engineering, Aditya Institute of Technology and Management, Tekkali, AP 532201, India
Venu Chandra
Affiliation:
Department of Civil Engineering, Indian Institute of Technology Madras, Chennai, TN 600036, India
N.R. Prashanth
Affiliation:
ESI Software (India) Pvt. Ltd., 27th Cross, Banashankari 2nd Stage, Bangalore, KA 560070, India
*
Email address for correspondence: [email protected]
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Abstract

Three-dimensional (3-D) transition in the wake of two tandem co-rotating cylinders is studied numerically for Reynolds numbers $180\le Re\le 500$. Infinite cylinders of equal diameter ($D$) and span ($8D$) are placed at streamwise gaps $Lx=2.5D$ and $7.5D$, and rotated at rotation rates $\alpha =0$, $0.5$, $1$ and $2$. For $\alpha =0$ and $Lx=7.5D$, 3-D transition in the wake of the upstream cylinder resembles that for an isolated cylinder with the formation of Mode-A and Mode-B instabilities, whereas for the downstream cylinder, only Mode-A instability occurs in both the $Lx=2.5D$ and $7.5D$ cases with $\alpha =0$. When the cylinders rotate at $\alpha =1$ for $Lx=7.5D$, staggered transition takes place with the appearance of only Mode-B and only Mode-A instabilities in the near-wake regions of the upstream and downstream bodies, respectively. In the case $Lx=2.5D$, the wake of the rotating cylinders transitions via Mode-C and Mode-D instabilities for $\alpha =0.5$, Mode-D and Mode-D$^\prime$ for $\alpha =1$, and Mode-C and Mode-A for $\alpha =2$. A sudden decrease in near-wake fluctuations, accompanied by a downward jump in the force coefficients, is observed as the 3-D instability shifts from one mode to another, for $\alpha \ge 1$ and $Lx=2.5D$. This discontinuity is caused by the formation of a pair of opposite-signed recirculation zones that mitigate each other's effects in the near-wake region.

JFM classification

Vortex Flows: Vortex dynamics Vortex Flows: Vortex instability Vortex Flows: Vortex interactions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 951 , 25 November 2022 , A29
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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Footnotes

†

Present address: GE Research, John F. Welch Technology Centre, Bangalore 560066, India.

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