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Span effect on the turbulence nature of flow past a circular cylinder

Published online by Cambridge University Press:  06 September 2019

Bernat Font Garcia Open the ORCID record for Bernat Font Garcia [Opens in a new window] ,
Gabriel D. Weymouth Open the ORCID record for Gabriel D. Weymouth [Opens in a new window] ,
Vinh-Tan Nguyen Open the ORCID record for Vinh-Tan Nguyen [Opens in a new window]  and
Owen R. Tutty
Bernat Font Garcia
Affiliation:
Faculty of Engineering and Physical Sciences, University of Southampton, Southampton SO17 1BJ, UK Institute of High Performance Computing, Singapore Agency for Science, Technology and Research (A*STAR), 138632, Singapore
Gabriel D. Weymouth*
Affiliation:
Faculty of Engineering and Physical Sciences, University of Southampton, Southampton SO17 1BJ, UK
Vinh-Tan Nguyen
Affiliation:
Institute of High Performance Computing, Singapore Agency for Science, Technology and Research (A*STAR), 138632, Singapore
Owen R. Tutty
Affiliation:
Faculty of Engineering and Physical Sciences, University of Southampton, Southampton SO17 1BJ, UK
*
†Email address for correspondence: [email protected]
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Abstract

Turbulent flow evolution and energy cascades are significantly different in two-dimensional (2-D) and three-dimensional (3-D) flows. Studies have investigated these differences in obstacle-free turbulent flows, but solid boundaries have an important impact on the cross-over from 3-D to 2-D turbulence dynamics. In this work, we investigate the span effect on the turbulence nature of flow past a circular cylinder at $Re=10\,000$. It is found that even for highly anisotropic geometries, 3-D small-scale structures detach from the walls. Additionally, the natural large-scale rotation of the Kármán vortices rapidly two-dimensionalise those structures if the span is 50 % of the diameter or less. We show this is linked to the span being shorter than the Mode B instability wavelength. The conflicting 3-D small-scale structures and 2-D Kármán vortices result in 2-D and 3-D turbulence dynamics which can coexist at certain locations of the wake depending on the domain geometric anisotropy.

JFM classification

Wakes/Jets: Vortex streets Turbulent Flows: Turbulent convection Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 878 , 10 November 2019 , pp. 306 - 323
Copyright
© 2019 Cambridge University Press 

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