Stationary vortices attached to flat roofs

This paper treats the topic of a conical vortex attached to a plane horizontal surface. Data have been collected from measurements on freely suspended cubes in a wind-tunnel. Data are analyzed and some vortex properties derived. The pressure coefficient is found to decrease as the inverse of the square root of the distance from the corner. Experimental results are used to construct an analytical model of the conical flow derived from a solution to the non-linear vorticity transport equation and the resulting flow is predicted. This flow is used to calculate the pressure suction on the attached surface. An application would be pressure on flat roofs of high-rise buildings subjected to an adverse wind.