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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 ISSN 0022-1120.
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Official URL: http://dx.doi.org/10.1017/S002211200200232X
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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Volume: | Vol.473 | ||||
Page Range: | pp. 167-190 | ||||
DOI: | 10.1017/S002211200200232X | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Fundação para a Ciência e a Tecnologia (FCT) |
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