Volume 75, Number 5, September 2006
|Page(s)||750 - 756|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||26 July 2006|
Linear analysis of the cylinder wake mean flow
Mathematics Institute, University of Warwick - Coventry, CV4 7AL, UK
Corresponding author: email@example.com
Accepted: 7 July 2006
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.
PACS: 47.20.Ft – Instability of shear flows (e.g., Kelvin-Helmholtz) / 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking
© EDP Sciences, 2006
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