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Three-dimensional instability in flow over a backward-facing step

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Barkley, Dwight, Gomes, M. Gabriela M. and Henderson, Ronald Dean (2002) Three-dimensional instability in flow over a backward-facing step. Journal of Fluid Mechanics, Vol.473 . pp. 167-190. doi:10.1017/S002211200200232X

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Official URL: http://dx.doi.org/10.1017/S002211200200232X

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Abstract

Results are reported from a three-dimensional computational stability analysis of flow over a backward-facing step with an expansion ratio (outlet to inlet height) of 2 at Reynolds numbers between 450 and 1050. The analysis shows that the first absolute linear instability of the steady two-dimensional flow is a steady three-dimensional bifurcation at a critical Reynolds number of 748. The critical eigenmode is localized to the primary separation bubble and has a flat roll structure with a spanwise wavelength of 6.9 step heights. The system is further shown to be absolutely stable to two-dimensional perturbations up to a Reynolds number of 1500. Stability spectra and visualizations of the global modes of the system are presented for representative Reynolds numbers.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Fluid dynamics, Stability, Eigenvalues, Bifurcation theory, Reynolds number
Journal or Publication Title: Journal of Fluid Mechanics
Publisher: Cambridge University Press
ISSN: 0022-1120
Official Date: December 2002
Dates:
DateEvent
December 2002Published
Volume: Vol.473
Page Range: pp. 167-190
DOI: 10.1017/S002211200200232X
Status: Peer Reviewed
Access rights to Published version: Open Access
Funder: Engineering and Physical Sciences Research Council (EPSRC), Fundação para a Ciência e a Tecnologia (FCT)

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