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Linear analysis of the cylinder wake mean flow
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Barkley, Dwight (2006) Linear analysis of the cylinder wake mean flow. Europhysics Letters, Vol.75 (No.5). pp. 750-756. doi:10.1209/epl/i2006-10168-7
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Official URL: http://dx.doi.org/10.1209/epl/i2006-10168-7
Abstract
A highly accurate 2D linear stability analysis is performed on the mean flow of laminar vortex shedding from a circular cylinder for Reynolds numbers between 46 and 180. Consistent with past studies of mean profiles, the analysis shows that the eigenfrequency of the mean flow tracks almost exactly the Strouhal number of vortex shedding. The linear growth rate reveals that the wake mean flow is a marginally stable state over the whole range of Reynolds numbers for stable 2D vortex shedding. This is contrasted with 2D stability analysis about the unstable steady base flow. The relevance to nonlinear saturation and frequency selection are discussed.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Physics |
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| Journal or Publication Title: | Europhysics Letters | ||||
| Publisher: | EDP Sciences | ||||
| ISSN: | 0295-5075 | ||||
| Official Date: | September 2006 | ||||
| Dates: |
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| Volume: | Vol.75 | ||||
| Number: | No.5 | ||||
| Number of Pages: | 7 | ||||
| Page Range: | pp. 750-756 | ||||
| DOI: | 10.1209/epl/i2006-10168-7 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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