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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
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107132
Year Published:2002
Web of Science® Times Cited:41
Deposited By:Mathematics and Physics
Deposited On:2016-03-04
Last Modified:2016-07-08
Downloads:0

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