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Dependence of wake structure on pitching frequency behind a thin panel at $Re=1000$

Published online by Cambridge University Press:  12 August 2021

Arnab Kumar De Open the ORCID record for Arnab Kumar De [Opens in a new window]  and
Sandip Sarkar Open the ORCID record for Sandip Sarkar [Opens in a new window]
Arnab Kumar De
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Assam781039, India
Sandip Sarkar*
Affiliation:
Department of Mechanical Engineering, Jadavpur University, Kolkata700032, India
*
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We perform computations of wake transition behind a pitching panel using an immersed boundary-based method. At a Reynolds number $Re=1000$, simulations are carried out over a wide range of pitching frequencies in the Strouhal number ($St$) range $0.2\leqslant St \leqslant 2$, for two different aspect ratio panels, given by 0.54 and 2.38. Our results reveal appearances of a reverse von Kármán vortex street at a moderate pitching frequency, which bifurcates into two distinct branches connected by strands at higher Strouhal number. In addition, the larger-aspect-ratio panel exhibits an avalanche of large, tangled three-dimensional vortex structures for $St\geqslant 1.5$. We observe strong spanwise wake compression, for the larger-aspect-ratio panel, greatly influencing the secondary instabilities at increased pitching frequency. However, no direct relationship between the growth of secondary instabilities and the spanwise pressure gradient can be established. We show that an increase in $St$ leads to a stable central region and renders a larger concentration of small-scale structures at the jet plane. The continuous wavelet transform shows complete synchronisation of the shed structure with the pitching Strouhal number of the low-aspect-ratio panel. The spectral characteristic for the high-aspect-ratio panel at $St=1$ is found to be dominated by a narrow band of low-frequency cells. We observed the period-doubling phenomena in the spanwise cells during space–time reconstruction of the velocity signals. For the present ranges of $St$, both thrust and lift signals reveal a constant amplitude oscillation, the latter being double, in magnitude, the former. Both root-mean-squared thrust and lift coefficients grow with $St$ and aspect ratio.

JFM classification

Aerodynamics: Flow-structure interactions Vortex Flows: Vortex dynamics Vortex Flows: Vortex shedding
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 924 , 10 October 2021 , A33
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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