Potential Flow Around Square Cylinder with Rounded Corners

The potential flow around the square cylinder with rounded corners is investigated by using complex variable approach. The area outside the square geometry with finite corner radius is mapped to the outer region circular geometry using hypotrochoidal transformation. The superposition of complex potential functions for uniform flow, circulatory flow, and vortex flow is employed along with mapping function to investigate various flow parameters around the square cylinder for different corner radius, angle of incidence, and vortex locations around the cylinder. Some of the results attained using present method are compared with the results extracted from ANSYS FLUENT and existing literature for the same geometrical and input flow parameters.