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An almost subharmonic instability in the flow past rectangular cylinders

Published online by Cambridge University Press:  21 October 2022

Alessandro Chiarini Open the ORCID record for Alessandro Chiarini [Opens in a new window] ,
Maurizio Quadrio Open the ORCID record for Maurizio Quadrio [Opens in a new window]  and
Franco Auteri Open the ORCID record for Franco Auteri [Opens in a new window]
Alessandro Chiarini
Affiliation:
Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, via La Masa 34, 20156 Milano, Italy
Maurizio Quadrio
Affiliation:
Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, via La Masa 34, 20156 Milano, Italy
Franco Auteri*
Affiliation:
Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, via La Masa 34, 20156 Milano, Italy
*
†Email address for correspondence: [email protected]
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Abstract

The three-dimensional instability of the flow past a 5 : 1 rectangular cylinder is investigated via Floquet analysis and direct numerical simulations. A quasi-subharmonic (QS) unstable mode is detected, marking an important difference with the flow past bodies with lower aspect ratio and/or with smooth leading edge. The QS mode becomes unstable at Reynolds number (based on the cylinder thickness and free-stream velocity) $Re \approx 480$; its spanwise wavelength is approximately three times the cylinder thickness. The structural sensitivity locates the wavemaker region over the longitudinal sides of the cylinder, indicating that the instability is triggered by the mutual inviscid interaction of vortices generated by the leading edge shear layer.

JFM classification

Wakes/Jets: Wakes Vortex Flows: Vortex shedding Instability: Absolute/convective instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 950 , 10 November 2022 , A20
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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