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Interaction of Oscillatory Flows with a Square Cylinder

Published online by Cambridge University Press:  05 May 2011

M.-J. Chern ,
Y.-J. Lu ,
S.-C. Chang  and
I.-C. Cheng
M.-J. Chern*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
Y.-J. Lu*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
S.-C. Chang*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
I.-C. Cheng*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
*
*Associate Professor
**Postgraduate student
**Postgraduate student
**Postgraduate student
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Abstract

The behaviour of vortices induced by a single square cylinder in an oscillating flow was investigated. The flow patterns in the vicinity of square cylinders were visualized using an in-house numerical model. Meanwhile, force coefficients exerted on the square cylinder were determined numerically. In terms of various Keulegan-Carpenter (KC) numbers, it turns out that the flow patterns for an oscillating flow past a single cylinder can be divided into three modes: (i) no vortex, (ii) pairs of symmetric vortices, and (iii) asymmetric vortex shedding. Reynolds (Re) number did not affect the flow field apparently in this study. In addition, the in-line force coefficient decreases exponentially as KC increases. Spectrum analysis of in-line force coefficients for various KCs was provided. It can be found that the flow system was at a periodic state at small KC for the first two modes. Variations of the flow system from a periodic state to a highly nonlinear state in which asymmetric vortex shedding appeared were demonstrated for increasing KC. The relationship between the in-line force and KC was provided for future applications.

Keywords

Keulegan-Carpenter numberOscillating flowSquare cylinderVortex dynamics.
Type
Technical Note
Information
Journal of Mechanics , Volume 23 , Issue 4 , December 2007 , pp. 445 - 450
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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