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The Linear Stability of Flat Stokes Layers
Citation
Blennerhassett, PJ and Bassom, AP, The Linear Stability of Flat Stokes Layers, Journal of Fluid Mechanics, 464 pp. 393-410. ISSN 0022-1120 (2002) [Refereed Article]
DOI: doi:10.1017/S0022112002001052
Abstract
The linear stability of the Stokes layer generated by an oscillating flat plate is
investigated using Floquet theory. The results obtained include the behaviour of
the growth rate of the disturbances, part of the corresponding neutral curve and
the structure of neutrally stable disturbances. Previously unknown properties of the
growth rate cause the neutral curve to have a complicated geometry: the majority of
the marginal curve is defined by waves propagating relative to the basic flow and the
curve is smooth in character, but for certain very narrow bands of wavenumbers it
was found that stationary modes are the first to become unstable. This phenomenon
has the consequence that the underlying smooth neutral curve is punctuated by thin
finger-like features. The structure of the eigenfunctions showed that the neutrally
stable disturbances tend to grow most rapidly just after the wall velocity passes
through zero.
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: | 107132 |
Year Published: | 2002 |
Web of Science® Times Cited: | 67 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2016-03-04 |
Last Modified: | 2016-07-08 |
Downloads: | 0 |
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