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Evolution of disturbance wavepackets in an oscillatory Stokes layer

Published online by Cambridge University Press:  09 July 2014

Christian Thomas ,
Christopher Davies ,
Andrew P. Bassom  and
P. J. Blennerhassett
Christian Thomas
Affiliation:
Department of Mathematics, South Kensington Campus, Imperial College London, London SW7 2AZ, UK
Christopher Davies*
Affiliation:
School of Mathematics, Cardiff University, Cardiff CF24 4AG, UK
Andrew P. Bassom
Affiliation:
School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia
P. J. Blennerhassett
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
*
†Email address for correspondence: DaviesC9@cardiff.ac.uk
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Abstract

Numerical simulation results are presented for the linear and nonlinear evolution of disturbances in a flat Stokes layer. The response to a spatially localised impulsive forcing is investigated and it is found that the spatial–temporal development of the flow displays an intriguing family-tree-like structure, which involves the birth of successive generations of distinct wavepacket components. It is shown that some features of this unexpected structure can be predicted using the results of a linear stability analysis based on Floquet theory.

JFM classification

Instability: Absolute/convective instability Boundary Layers: Boundary layer stability Instability: Transition to turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 752 , 10 August 2014 , pp. 543 - 571
Copyright
© 2014 Cambridge University Press 

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