Linear analysis of the cylinder wake mean flow

Published 26 July 2006 2006 EDP Sciences
, , Citation D. Barkley 2006 EPL 75 750 DOI 10.1209/epl/i2006-10168-7

0295-5075/75/5/750

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.

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10.1209/epl/i2006-10168-7