Journal of Fluid Mechanics

Papers

Wake transition in the flow around two circular cylinders in staggered arrangements

BRUNO S. CARMOa1, SPENCER J. SHERWINa1, PETER W. BEARMANa1 and RICHARD H. J. WILLDENa1

a1 Department of Aeronautics, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK

Abstract

The wake transition of the flow around two circular cylinders placed in staggered arrangements with fixed streamwise separation of 5D and cross-stream separation varying from 0 to 3D has been studied. The wake transition is compared to that of a single isolated cylinder. Linear stability analysis utilizing Floquet theory and direct numerical simulations using a spectral/hp element spatial discretization were carried out. The unstable modes that first appear in the wake transition of the flow around a single cylinder, which are the long-spanwise-wavelength mode A and the short-spanwise-wavelength mode B, are also found in the flow around the staggered arrangements. However, a third mode, referred to as mode C, is also present in the wake transition of the flow around staggered arrangements, depending on the relative positioning of the cylinders. This mode has an intermediate spanwise wavelength and period-doubling character. The structure and onset characteristics of mode C are analysed and the nonlinear character of the bifurcation for this mode is investigated.

(Received May 24 2007)

(Revised September 26 2007)

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