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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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:	Date Event December 2002 Published
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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