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The linear stability of oscillatory Poiseuille flow in channels and pipes

Citation

Thomas, C and Bassom, AP and Blennerhassett, PJ and Davies, C, The linear stability of oscillatory Poiseuille flow in channels and pipes, Proceedings of the Royal Society of London A, 467, (2133) pp. 2643-2662. ISSN 1364-5021 (2011) [Refereed Article]

Copyright Statement

© 2011 The Royal Society

DOI: doi:10.1098/rspa.2010.0468

Abstract

The linear stability of confined, periodic, parallel fluid flows is examined. The flow fields considered consist of a steady pressure gradient-driven velocity field combined with a purely oscillatory component generated by either an oscillatory pressure gradient or by harmonically oscillating bounding surfaces. Plane channel and circular pipe geometries are studied and all possible combinations of the steady and oscillatory flow components investigated. Neutral stability curves and critical conditions for instability are computed for a selection of steady–unsteady velocity ratios, channel half-widths and pipe radii. The results obtained confirm previous investigations into the effects of small amounts of periodic modulation on the linear stability of the underlying steady flow, but provide much more comprehensive information on the linear stability regions of unsteady parallel flows in channels and pipes.

Item Details

Item Type:Refereed Article
Keywords:time-periodic, shear flows, instability
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:105776
Year Published:2011
Web of Science® Times Cited:7
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2017-11-01
Downloads:0

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