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The linear stability of a Stokes layer subjected to high-frequency perturbations


Thomas, C and Blennerhassett, PJ and Bassom, AP and Davies, C, The linear stability of a Stokes layer subjected to high-frequency perturbations, Journal of Fluid Mechanics, 764 pp. 193-218. ISSN 0022-1120 (2015) [Refereed Article]

Copyright Statement

Copyright Cambridge University Press 2014

DOI: doi:10.1017/jfm.2014.710


Quantitative results for the linear stability of planar Stokes layers subject to small, high-frequency perturbations are obtained for both a narrow channel and a flow approximating the classical semi-infinite Stokes layer. Previous theoretical and experimental predictions of the critical Reynolds number for the classical flat Stokes layer have differed widely with the former exceeding the latter by a factor of two or three. Here it is demonstrated that only a 1 % perturbation, at an appropriate frequency, to the nominal sinusoidal wall motion is enough to result in a reduction of the theoretical critical Reynolds number of as much as 60 %, bringing the theoretical conditions much more in line with the experimentally reported values. Furthermore, within the various experimental observations there is a wide variation in reported critical conditions and the results presented here may provide a new explanation for this behaviour.

Item Details

Item Type:Refereed Article
Keywords:boundary layers, boundary layer stability
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105783
Year Published:2015
Web of Science® Times Cited:16
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2017-11-01

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