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Vortex-induced rotation of a square cylinder under the influence of Reynolds number and density ratio

Published online by Cambridge University Press:  02 May 2024

Rui-Yong Mou Open the ORCID record for Rui-Yong Mou [Opens in a new window] ,
Wei-Xi Huang Open the ORCID record for Wei-Xi Huang [Opens in a new window] ,
Xing-Rong Huang  and
Le Fang Open the ORCID record for Le Fang [Opens in a new window]
Rui-Yong Mou
Affiliation:
Research Institute of Aero-Engine, Beihang University, Beijing 100191, PR China LCS, Ecole Centrale de Pékin, Beihang University, Beijing 100191, PR China
Wei-Xi Huang
Affiliation:
School of Aerospace Engineering, Tsinghua University, Beijing, 100084, PR China
Xing-Rong Huang
Affiliation:
LCS, Ecole Centrale de Pékin, Beihang University, Beijing 100191, PR China
Le Fang*
Affiliation:
LCS, Ecole Centrale de Pékin, Beihang University, Beijing 100191, PR China
*
†Email address for correspondence: le.fang@buaa.edu.cn
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Abstract

Numerical simulations are carried out on the vortex-induced rotations of a freely rotatable rigid square cylinder in a two-dimensional uniform cross-flow. A range of Reynolds numbers between 40 and 150 and density ratios between 0.1 and 10 are considered. Results show eight different characteristic regimes, expanding the classification of Ryu & Iaccarino (J. Fluid Mech., vol. 813, 2017, pp. 482–507). New regimes include the transition and wavy rotation regimes; in the ${\rm \pi}$-limited oscillation regime we observe multipeak subregimes. Moment-generating mechanisms of these regimes and subregimes are further elucidated. A phenomenon related to the influence of density ratio is the tooth-like shape of the ${\rm \pi} /2$-limit oscillation regime observed in the regime map, which is explained as a result of the imbalance relation between the main frequencies of rotation response and the vortex shedding frequency. In addition, existence of multiple regimes and multistable states are discussed, indicating multiple stable attractive structures in phase space.

JFM classification

Aerodynamics: Flow-structure interactions Vortex Flows: Vortex shedding
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 986 , 10 May 2024 , A15
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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