Abstract
Flow around a square cylinder in oscillatory flow was studied by a numerical simulation using a finite-volume method. The computations were carried out by assuming 3-dimensional (3-d), unsteady, incompressible and viscous flow through Keulegan-Carpenter number (KC) in the range of 2.5 ? KC ? 25 at Stokes number (β) = 95. The region in KC ? 4, “longitudinal vortex pairs” periodically arranged in span-direction were found out as well as in the case of circular cylinder. On the other hand, KC ? 5, the flow patterns called “transverse-vortex street”, “double-pair” which appeared in the case of the circuler cylinder at KC =12 and KC =16, respectively, were not formed. The drag and inertia coefficients of the Morison equation CD and CM, were estimated and it was found that decreasing of CD as KC increases in the region 2.5 ? KC ? 12 is caused by the change in the position of rolling up of the flow in the wake. By calculating spanwise correlation, the effect of 3-D flow structures on the transvers force were investigated. The effect remarkably appears in the range of 2.5 ? KC ? 8 in which the “longitudinal vortex pairs” are formed.
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