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Simulation of flow around a row of square cylinders

Published online by Cambridge University Press:  10 July 2008

SHASHI RANJAN KUMAR ,
ATUL SHARMA  and
AMIT AGRAWAL
SHASHI RANJAN KUMAR
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology – Bombay, Powai, Mumbai, 400076, India
ATUL SHARMA
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology – Bombay, Powai, Mumbai, 400076, India
AMIT AGRAWAL
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology – Bombay, Powai, Mumbai, 400076, India
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Abstract

In this paper, the low-Reynolds number (Re = 80) flow around a row of nine square cylinders placed normal to the oncoming flow is investigated using the lattice-Boltzmann method. The effects of the cylinder spacing on the flow are studied for spacing to diameter ratios of 0.3 to 12. No significant interaction between the wakes is observed with spacings greater than six times the diameter. At smaller spacings, the flow regimes as revealed by vorticity field and drag coefficient signal are: synchronized, quasi-periodic and chaotic. These regimes are shown to result from the interaction between primary (vortex shedding) and secondary (cylinder interaction) frequencies; the strength of the latter frequency in turn depends on the cylinder spacing. The secondary frequency is also related to transition between narrow and wide wakes behind a cylinder.

The mean drag coefficient and Strouhal number are found to increase rapidly with a decrease in spacing; correlations of these parameters with spacing are proposed. The Strouhal number based on gap velocity becomes approximately constant for a large range of spacings, highlighting the significance of gap velocity for this class of flows. It is also possible to analyse the vortex pattern in the synchronized and quasi-periodic regimes with the help of vorticity dynamics. These results, most of which have been obtained for the first time, are of fundamental significance.

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Type
Papers
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Journal of Fluid Mechanics , Volume 606 , 10 July 2008 , pp. 369 - 397
Copyright
Copyright © Cambridge University Press 2008

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