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Published January 1990 | metadata_only
Journal Article

Cross-bispectral analysis of a vibrating cylinder and its wake in low Reynolds number flow


Cross-bispectral analysis is used to investigate the coupling between a slender vibrating cylinder and the velocity field in its wake at low Reynolds numbers [Re = O(10^2)]. The velocity field was characterized by a complicated power spectrum, with low frequency peaks as well as upper and lower side band peaks near the primary Strouhal frequency peak and its harmonics. Power spectral and cross-bispectral analyses indicate that the rich structure of the wake velocity power spectra is a direct consequence of the vibrating cylinder. The data suggest the cylinder is coupled to its wake in the sense that the cylinder vibrations introduce motions into the wake at the vibration frequency, and these motions interact nonlinearly within the wake to produce fluctuations at other frequencies. Cross-bispectral analysis isolates the interactions between cylinder vibrations and wake fluctuations.

Additional Information

© 1990 Academic Press Limited. Received 18 May 1988 and in revised form 8 June 1989. Support was provided by the Office of Naval Research [Grant N00014-86-K-0877 (S.E.)], the National Science Foundation (Grant OCE 85-11290) and the Defense Advanced Research Projects Agency, University Research Initiative Program (C.V.A. and M.G.). Computations were performed at the San Diego Supercomputer Center (supported by the National Science Foundation). We thank the two anonymous referees who provided detailed and helpful reviews of an earlier version of this paper.

Additional details

August 19, 2023
August 19, 2023