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Physics of Fluids / Volume 23 / Issue 12 / LETTERS

Phys. Fluids 23, 121701 (2011); http://dx.doi.org/10.1063/1.3664869 (4 pages)

A new unstable mode in the wake of a circular cylinder

Abhishek Verma and Sanjay Mittal

Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur 208 016, India

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(Received 24 July 2011; accepted 7 November 2011; published online 2 December 2011)

The flow past a circular cylinder looses stability at Re ∼ 47, via the primary wake (PW) mode. Linear stability analysis of the steady base flow, in two dimensions, is conducted using a stabilized finite element formulation. A new mode, referred to as the secondary wake (SW) mode, is discovered which is found to be unstable for Re ≥ 110.8. The relative roles of the PW and SW mode in the development of Karman vortex shedding are also investigated.

© 2011 American Institute of Physics

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KEYWORDS and PACS

Keywords

finite element analysis, flow instability, vortices, wakes

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3664869

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    H. Q. Zhang, U. Fey, B. R. Noack, M. Konig, and H. Eckelmann, “On the transition of the cylinder wake,” Phys. Fluids 7(4), 779 (1995)PHFLE6000007000004000779000001.

    S. Behara and S. Mittal, “Wake transition in flow past a circular cylinder,” Phys. Fluids 22, 114104 (2010)PHFLE6000022000011114104000001.

    S. Mittal and B. Kumar, “A stabilized finite element method for global analysis of convective instabilities in nonparallel flows,” Phys. Fluids 19, 088105 (2007)PHFLE6000019000008088105000001.


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