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A Note on the Linear Stability of a Two-dimensional Stokes Layer


Blennerhassett, PJ and Bassom, AP, A Note on the Linear Stability of a Two-dimensional Stokes Layer, Quarterly Journal of Mechanics and Applied Mathematics, 60, (3) pp. 391-396. ISSN 0033-5614 (2007) [Refereed Article]

Copyright Statement

Copyright The author 2007. Published by Oxford University Press; all rights reserved.

DOI: doi:10.1093/qjmam/hbm014


The fluid motion generated adjacent to an infinite flat plate undergoing orbital motion in its own plane is a generalization of the classical Stokes-layer profile. We show that the stabilities of these flows can be related to each other via two transformations directly analogous to the well-known Squire transformation. The main result obtained is that, in general, the two-dimensional Stokes layer is more stable than the corresponding unidirectional Stokes layer. A further by-product of the analysis is the construction of a shear flow having identical neutral stability conditions when subject to either two- or three-dimensional disturbances.

Item Details

Item Type:Refereed Article
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:107133
Year Published:2007
Web of Science® Times Cited:4
Deposited By:Mathematics and Physics
Deposited On:2016-03-04
Last Modified:2016-12-22

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