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Dynamics of weighted flexible ribbons in a uniform flow

Published online by Cambridge University Press:  14 August 2024

Kui Liu Open the ORCID record for Kui Liu [Opens in a new window]  and
Haibo Huang Open the ORCID record for Haibo Huang [Opens in a new window]
Kui Liu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, PR China
Haibo Huang*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, PR China
*
†Email address for correspondence: huanghb@ustc.edu.cn
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Abstract

This study explores the dynamics of flexible ribbons with an added weight $G$ at the tail in uniform flow, considering key parameters like inflow Reynolds number ($Re_u$), mass ratio ($M_t$) and aspect ratio (${A{\kern-4pt}R}$). For two-dimensional ribbons, a simplified theoretical model accurately predicts equilibrium configurations and forces. Inspired by Barois & De Langre (J. Fluid Mech., vol. 735, 2013, R2), we introduce an important control parameter ($C_G$) that effectively collapses normalized forces and angle data. Vortex-induced vibration is observed, and Strouhal number ($St$) scaling laws with $C_G$ are identified. In three-dimensional scenarios, the model effectively predicts lift, but its accuracy in predicting drag is limited to situations with small $Re_u$ values. The flow along the side edges mitigates pressure differences, thereby suppressing vibration and uplift, particularly noticeable in the case of narrow ribbons. This study offers new insights into the dynamics of flexible bodies in uniform flow.

JFM classification

Aerodynamics: Flow-structure interactions Flow Control: Drag reduction
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 990 , 10 July 2024 , A11
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Liu and Huang supplementary material 1

The instantaneous vorticity contours for the case with Mt=2 and Reu=200.
Download Liu and Huang supplementary material 1(File)
File 1.3 MB
Supplementary material: File

Liu and Huang supplementary material 2

The instantaneous vorticity contours for the case with Mt=2 and Reu=300.
Download Liu and Huang supplementary material 2(File)
File 1.3 MB
Supplementary material: File

Liu and Huang supplementary material 3

The instantaneous vorticity contours for the case with Mt=2 and Reu=500.
Download Liu and Huang supplementary material 3(File)
File 1.5 MB
Supplementary material: File

Liu and Huang supplementary material 4

The instantaneous vorticity contours for the case with AR=0.5 and Reu=300.
Download Liu and Huang supplementary material 4(File)
File 679.5 KB
Supplementary material: File

Liu and Huang supplementary material 5

The instantaneous vorticity contours for the case with AR=1 and Reu=300.
Download Liu and Huang supplementary material 5(File)
File 870.7 KB