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Mathematical Problems in Engineering
Volume 2017, Article ID 6381256, 18 pages
Research Article

Numerical Study on Flow around Four Square-Arranged Cylinders at Low Reynolds Numbers

1Ocean College, Zhejiang University, Zhoushan 316021, China
2China Communications Construction Company, Beijing 100088, China

Correspondence should be addressed to Xi-zeng Zhao; nc.ude.ujz@oahzgnezix

Received 16 October 2016; Accepted 4 January 2017; Published 27 March 2017

Academic Editor: Nicolas Gourdain

Copyright © 2017 Yang-yang Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, numerical simulations of flow past four square-arranged cylinders are carried out at different spacing ratios (; is the center to center distance; is the cylinder diameter) and Reynolds numbers . The effects of spacing ratio and Reynolds number on the wake flow characteristics are investigated, such as the instantaneous vorticity contours, force coefficients, and vortex shedding frequencies. The results show that the flow characteristics behind the four-cylinder cases are significantly affected by the spacing ratios and Reynolds numbers. At the same spacing ratio, the transformation of flow pattern is advanced quickly with increasing of Reynolds numbers, the values of force coefficients are correspondingly fluctuated with large amplitude, and the vortex shedding frequency is increased significantly with .