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Stability analysis of the elliptic cylinder wake

Leontini, Justin S. and Lo Jacono, David and Thompson, Mark C. Stability analysis of the elliptic cylinder wake. (2015) Journal of Fluid Mechanics, 763. 302-321. ISSN 0022-1120

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Official URL: http://dx.doi.org/10.1017/jfm.2014.671

Abstract

This paper presents the results of numerical stability analysis of the wake of an elliptical cylinder. Aspect ratios where the ellipse is longer in the streamwise direction than in the transverse direction are considered. The focus is on the dependence on the aspect ratio of the ellipse of the various bifurcations to three-dimensional flow from the two-dimensional Kármán vortex street. It is shown that the three modes present in the wake of a circular cylinder (modes A, B and QP) are present in the ellipse wake, and that in general they are all stabilized by increasing the aspect ratio of the ellipse. Two new pertinent modes are found: one long-wavelength mode with similarities to mode A, and a second that is only unstable for aspect ratios greater than approximately 1.75, which has similar spatiotemporal symmetries to mode B but has a distinct spatial structure. Results from fully three-dimensional simulations are also presented confirming the existence and growth of these two new modes in the saturated wakes.

Item Type:Article
Additional Information:Thanks to Cambridge University Press (CUP) editor. The original PDF of the article can be found at Journal of Fluid Mechanics website : http://journals.cambridge.org/action/displayJournal?jid=FLM#.VOWdSGOLelM
HAL Id:hal-01118436
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Monash University (AUSTRALIA)
Other partners > Swinburne University of Technology (AUSTRALIA)
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Deposited On:19 Feb 2015 09:25

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