Flow patterns and vortex shedding behavior behind a square cylinder

Abstract

The flow structures, wake-flow characteristics and drag coefficients of a square cylinder at various Reynolds numbers ( Re) and incidence angles ( θ) were experimentally studied in an open-loop wind tunnel. The cross section of square cylinder is characterized by the aspect ratio ( AR) and blockage ratio ( BR) of 25% and 4%, respectively. The Reynolds number is changed from 4000 to 36,000 and the incidence angle is adjusted from 0° to 45°. The flow patterns near/behind the square cylinder were determined using the smoke-wire scheme. The global velocity fields and streamline patterns were analyzed using the particle image velocimetry (PIV). Additionally, the flow-topology method was applied to analyze the flow patterns by calculating the separatrices, alleyways and critical points. Experimental results showed that the flow structures around the square cylinder exhibit three modes—leading-edge separation, separation bubble and attached flow. The surface-pressure profile, drag coefficient ( C D ), lift coefficient ( C L ) and vortex shedding frequency were detected/calculated using a pressure transducer and hot-wire anemometer. The lift coefficient did not significantly vary with Re. The minimum C D occurs at θ=12°, whereas the minimum C L occurs at θ=13°. The minimum projected-Strouhal-number ( St d ) occurs at θ=0° while the maximum St d occurs at θ=15°.