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Influence of the viscous boundary layer perturbations on single-mode panel flutter at finite Reynolds numbers

Published online by Cambridge University Press:  10 August 2018

Vsevolod Bondarev Open the ORCID record for Vsevolod Bondarev [Opens in a new window]  and
Vasily Vedeneev Open the ORCID record for Vasily Vedeneev [Opens in a new window]
Vsevolod Bondarev
Affiliation:
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991, Russia
Vasily Vedeneev*
Affiliation:
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991, Russia
*
†Email address for correspondence: vasily@vedeneev.ru
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Abstract

Panel flutter is an aeroelastic instability of aircraft skin panels, which can lead to a reduction in service life and panel destruction. Despite the existence of many studies related to panel flutter, the influence of the boundary layer on the panel stability has been considered in only a few of them. Up to the present day, most papers on the boundary layer effect consider only a zero-pressure-gradient boundary layer over a flat plate. The only studies of a boundary layer of arbitrary form were conducted in our previous papers (Vedeneev, J. Fluid Mech., vol. 736, 2013, pp. 216–249 and Bondarev & Vedeneev, J. Fluid Mech., vol. 802, 2016, pp. 528–552), where the boundary layer was represented as an inviscid shear layer (the Reynolds number $R=\infty$). In this paper we investigate the problem, taking viscosity into account, at large but finite Reynolds numbers. As before, we assume that the panel length is large and use Kulikovskii’s global instability criterion to analyse the panel eigenmodes and consider two different types of boundary layer profiles: a generalised convex profile and a profile with a generalised inflection point. Results show that viscous perturbations can, in general, have both stabilising and destabilising effects on the system, depending on the velocity and temperature profiles of the boundary layer and on its thickness. However, surprisingly, we prove that if the boundary layer yields a significant growth rate in the inviscid approximation, then the viscosity always produces an even larger growth rate.

JFM classification

Boundary Layers: Boundary Layers Boundary Layers: Boundary layer stability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 852 , 10 October 2018 , pp. 578 - 601
Copyright
© 2018 Cambridge University Press 

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