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A Note on the Linear Stability of a Two-dimensional Stokes Layer
journal contribution
posted on 2023-05-18, 17:36 authored by Blennerhassett, PJ, Andrew BassomAndrew BassomThe 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.
History
Publication title
Quarterly Journal of Mechanics and Applied MathematicsVolume
60Pagination
391-396ISSN
0033-5614Department/School
School of Natural SciencesPublisher
Oxford Univ PressPlace of publication
Oxford, EnglandRights statement
Copyright The author 2007. Published by Oxford University Press; all rights reserved.Repository Status
- Restricted