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Amplification of three-dimensional perturbations during parallel vortex–cylinder interaction

Published online by Cambridge University Press:  05 February 2007

X. LIU  and
J. S. MARSHALL
X. LIU
Affiliation:
Department of Mechanical and Industrial Engineering, and IIHR – Hydroscience and Engineering, The University of Iowa, Iowa City, IA 52242, USA
J. S. MARSHALL
Affiliation:
School of Engineering, The University of Vermont, Burlington, VT 05405, [email protected]
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Abstract

A computational study has been performed to examine the amplification of three-dimensional flow features as a vortex with small-amplitude helical perturbations impinges on a circular cylinder whose axis is parallel to the nominal vortex axis. For sufficiently weak vortices with sufficiently small core radius in an inviscid flow, three-dimensional perturbations on the vortex core are indefinitely amplified as the vortex wraps around the cylinder front surface. The paper focuses on the effect of viscosity in regulating amplification of three-dimensional disturbances and on assessing the ability of two-dimensional computations to accurately model parallel vortex–cylinder interaction problems. The computations are performed using a multi-block structured finite-volume method for an incompressible flow, with periodic boundary conditions along the cylinder axis. Growth of three-dimensional flow features is examined using a proper-orthogonal decomposition of the Fourier-transformed vorticity field in the azimuthal and axial directions. The interaction is examined for different axial wavelengths and amplitudes of the initial helical vortex waves and for three different Reynolds numbers.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 573 , February 2007 , pp. 457 - 478
Copyright
Copyright © Cambridge University Press 2007

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