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Three-dimensional-mode resonance in far wakes

Published online by Cambridge University Press:  26 April 2006

T. C. Corke ,
J. D. Krull  and
M. Ghassemi
T. C. Corke
Affiliation:
Illinois Institute of Technology, Fluid Dynamics Research Center, Mechanical and Aerospace Engineering Department, Chicago, IL 60616, USA
J. D. Krull
Affiliation:
Illinois Institute of Technology, Fluid Dynamics Research Center, Mechanical and Aerospace Engineering Department, Chicago, IL 60616, USA
M. Ghassemi
Affiliation:
Illinois Institute of Technology, Fluid Dynamics Research Center, Mechanical and Aerospace Engineering Department, Chicago, IL 60616, USA
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Abstract

This work is aimed at understanding mechanisms which govern the growth of secondary three-dimensional modes of a particular type which feed from a resonant energy exchange with the primary Kármán instability in two-dimensional wakes. Our approach was to introduce controlled time-periodic three-dimensional (oblique) wave pairs of equal but opposite sign, simultaneously with a two-dimensional wave. The waves were introduced by an array of v-component-producing elements on the top and bottom surfaces of the body. These were formed by metallized electrodes which were vapour deposited onto a piezoelectrically active polymer wrapped around the surface. The amplitudes, streamwise and spanwise wavenumbers, and initial phase difference are all individually controllable. The initial work focused on a fundamental/subharmonic interaction, and the dependence on spanwise wave-number. The results include mode eigenfunction modulus and phase distributions in space, and stream functions for the phase-reconstructed flow field. Analysis of these shows that such a resonance mechanism exists and its features can account for characteristic changes associated with the growth of three-dimensional structures in the wake of two-dimensional bodies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 239 , June 1992 , pp. 99 - 132
Copyright
© 1992 Cambridge University Press

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