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The linear stability of an acceleration-skewed oscillatory Stokes layer

Published online by Cambridge University Press:  22 May 2020

Christian Thomas Open the ORCID record for Christian Thomas [Opens in a new window]
Christian Thomas*
Affiliation:
Department of Mathematics and Statistics, Macquarie University, NSW2109, Australia
*
†Email address for correspondence: [email protected]
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Abstract

The linear stability of the family of flows generated by an acceleration-skewed oscillating planar wall is investigated using Floquet theory. Neutral stability curves and critical conditions for linear instability are determined for an extensive range of acceleration-skewed oscillating flows. Results indicate that acceleration skewness is destabilising and reduces the critical Reynolds number for the onset of linearly unstable behaviour. The structure of the eigenfunctions is discussed and solutions suggest that disturbances grow in the direction of highest acceleration.

JFM classification

Boundary Layers: Boundary layer stability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 895 , 25 July 2020 , A27
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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