This numerical study aims to investigate the flow around, heat transfer from, and aerodynamic forces on a square cylinder with the corner radius ratio r/R = 0.0 – 1.0 and Reynolds number Re = 40 180, where r is the cylinder corner radius and R is the half side width of the cylinder. The critical Reynolds number (Re_cr) for the onset of vortex shedding is found to vary from 49.5 to 46.75 when r/R is increased from 0.0 to 1.0. The dependence of the flow topology on the Re – r/R domain leads to four major flow patterns: steady trailing-edge separated flow, unsteady trailing-edge separated flow, unsteady separation-bubble flow, and unsteady leading-edge separated flow which are distinguished by flow separation, reattachment, boundary layer, and separation bubble. Accordingly, forces, Strouhal number, Nusselt number, and wake structure parameters all are dependent on r/R and Re. The dependence of each parameter is presented in the r/R – Re domain. The Strouhal number and Nusselt number are equally sensitive to both r/R and Re, increasing with increasing r/R and Re. Forces, on the other hand, are more sensitive to Re than r/R. The maximum velocity in the shear layer increases with r/R and Re while the boundary-layer displacement thickness behaves oppositely, shrinking with increasing r/R and Re.

此数值研究旨在研究角半径比为r / R = 0.0 – 1.0且雷诺数Re = 40 180的方圆柱体的绕流，传热和空气动力，其中r是圆柱体的转角半径和R是圆柱的半边宽度。当r / R从0.0增加到1.0时，发现发生涡旋脱落的临界雷诺数（Re _cr）从49.5变为46.75 。流拓扑对Re – r / R域的依赖性导致了四个主要流模式：稳定的后缘分离流，不稳定的后缘分离流，不稳定的分离气泡流和不稳定的前沿分离流，其特征在于流分离，重新附着，边界层和分离泡。因此，力，斯特劳哈尔数，努塞尔特数和尾流结构参数都取决于r / R和Re。每个参数的依赖性在r / R – Re域中表示。Strouhal数和Nusselt数对r / R和Re都同样敏感，随r /的增加而增加R和Re。另一方面，力对Re的敏感性比r / R的敏感性大。剪力层中的最大速度随着r / R和Re的增加而增加，而边界层位移厚度则表现出相反的趋势，随着r / R和Re的增加而减小。