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Self-Similar Analysis on Vortex Shedding Process

Published online by Cambridge University Press:  05 May 2011

C.-T. Wang  and
C.-T. Chen
C.-T. Wang*
Affiliation:
Dept. of Mechanical and Electro-Mechanical Engineering, National I Lan University, I Lan, Taiwan 26047, R.O.C.
C.-T. Chen*
Affiliation:
Dept. of Applied Mathematics, National University of Kaohsiung, Kaohsiung, Taiwan 81148, R.O.C.
*
*Assistant Professor
*Assistant Professor
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Abstract

Chaos theory has been seen as an efficient tool for studying the turbulent flow, the findings of attractor were also important and made in the study to investigate the wake flow behind the bluff body. Here, the fractal dimension value would then be found by Hurst analysis. According to the results found, the Hurst empirical formula derived by the self-similar laceration of vortex plane would be applied by self-similar property to decide the band of the frequency variations in the vortex shedding process. The three kinds of flow mode with their individual attractors and characteristics could be decomposed and shown as following: self-similar laceration, energy input and white noise band. Finally, the energy ratio for the three kinds of flow mode had been confirmed. Hence, these findings would be helpful to further study the wake flow in the vortex shedding process.

Keywords

AttractorChaosHurst AnalysisWake Flow
Type
Articles
Information
Journal of Mechanics , Volume 22 , Issue 4 , December 2006 , pp. 263 - 270
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

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