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Flow-induced vibrations of a pitching and plunging airfoil

Published online by Cambridge University Press:  06 January 2020

Z. Wang Open the ORCID record for Z. Wang [Opens in a new window] ,
L. Du ,
J. Zhao Open the ORCID record for J. Zhao [Opens in a new window] ,
M. C. Thompson Open the ORCID record for M. C. Thompson [Opens in a new window]  and
X. Sun
Z. Wang
Affiliation:
School of Energy and Power Engineering, Beihang University, Beijing100191, PR China
L. Du*
Affiliation:
School of Energy and Power Engineering, Beihang University, Beijing100191, PR China
J. Zhao
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC3800, Australia
M. C. Thompson
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC3800, Australia
X. Sun
Affiliation:
School of Energy and Power Engineering, Beihang University, Beijing100191, PR China
*
†Email address for correspondence: lindu@buaa.edu.cn
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Abstract

The flow-induced vibration (FIV) of an airfoil freely undergoing two-degrees-of-freedom (2-DOF) motions of plunging and pitching is numerically investigated as a function of the reduced velocity and pivot location in a two-dimensional free-stream flow. This investigation covers a wide parameter space spanning the flow reduced velocity range of $0<U^{\ast }=U/(\,f_{n}c)\leqslant 10$ and the pivot location range of $0\leqslant x\leqslant 1$, where $U$ is the free-stream velocity, $f_{n}$ is the natural frequency of the system set equal in the plunge and pitch directions, $c$ is the chord length of the foil and $x$ is the normalised distance of the pivot point from the leading edge. The numerical simulations were performed by employing an immersed boundary method at a low Reynolds number ($Re=Uc/\unicode[STIX]{x1D708}=400$, with $\unicode[STIX]{x1D708}$ the kinematic viscosity of the fluid). Through detailed analyses of the dynamics of the 2-DOF vibrations and wake states, a variety of FIV response regimes are identified, including four regions showing synchronisation or near-synchronisation responses (labelled as S‐I, S‐II, S‐III and S‐IV) and four transition regimes (labelled as T‐I, T‐II, T‐III and T‐IV) that show intermittent, switching or chaotic responses, in the $x{-}U^{\ast }$ space.

JFM classification

Vortex Flows: Vortex shedding
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 885 , 25 February 2020 , A36
Copyright
© 2020 Cambridge University Press

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Wang et al. supplementary movie 1

A 2T wake mode observed at $(x, U^*) = (0.50, 1.32)$ in regime S-I.

Download Wang et al. supplementary movie 1(Video)
Video 646.1 KB

Wang et al. supplementary movie 2

A 2P wake mode observed at $(x, U^*) = (0.50, 1.63)$ in regime S-I.

Download Wang et al. supplementary movie 2(Video)
Video 618.6 KB

Wang et al. supplementary movie 3

A 2T wake mode observed at $(x, U^*) = (0.50, 2.87)$ in regime S-I.

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Video 670.5 KB

Wang et al. supplementary movie 4

A multiple P (mP) wake mode observed at $(x, U^*) = (0.50, 3.49)$ in regime S-I.

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Video 559.9 KB

Wang et al. supplementary movie 5

A P+S wake mode observed at $(x, U^*) = (0.50, 9.07)$ in regime S-III.

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Video 632.5 KB

Wang et al. supplementary movie 6

A P+C wake mode observed at $(x, U^*) = (0.35, 9.07)$ in regime S-II.

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Video 704.7 KB

Wang et al. supplementary movie 7

A mP+C wake mode observed at $(x, U^*) = (0.85, 9.07)$ in regime S-IV.

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Video 667.2 KB

Wang et al. supplementary movie 8

A stable 2(P+2S) mode observed at $(x, U^*) = (0.65, 1.01)$ in regime S-I.

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Video 792.6 KB

Wang et al. supplementary movie 9

An unstable 2(P+2S) mode observed at $(x, U^*) = (0.85, 1.32)$ in regime S-I.

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Video 798 KB

Wang et al. supplementary movie 10

A stable 2S mode observed at $(x, U^*) = (0.4, 1.32)$ in regime S-I.

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Video 593.3 KB

Wang et al. supplementary movie 11

An unstable 2S mode observed at $(x, U^*) = (0.4, 1.63)$ in regime S-I.

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Video 669.7 KB

Wang et al. supplementary movie 12

A mix of wake modes observed at $(x, U^*) = (0.65, 1.63)$ in regime S-I.

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Video 1 MB