Intrinsic characteristics of three-dimensional flow around a wall-mounted conical cylinder

To investigate the flow characteristics around a wall-mounted conical cylinder, three-dimensional direct numerical simulations are carried out for a conical cylinder with an end diameter ratio ranging from 0.5 to 1.5 at three low Reynolds numbers (Re = 100, 150, 200). The flow features are examined in terms of time-mean streamlines, singularity points location, topological structure, time-mean streamwise vortices, and instantaneous spanwise vortices denoted with different vortex identification methods. The downwash effect also happens even without a free end. The upwash streamlines clash with the downwash streamlines and then coalesce to the saddle (impingement) point P2. The occurrence of the symmetry plane belongs to a new topology, where the saddle point on the bottom wall is an attachment point (N-A), instead of the separation point (S-S). The singular point verifies the topological existence of the attachment-attachment combination of the horseshoe vortex system. The "Quadrupole Type," "Sextupole Type," and "Octupole Type" are identified. The "Octupole Type" is reported first, consisting of a pair of "time-mean streamwise tip vortices," two pairs of "time-mean streamwise base vortices" and a pair of "time-mean streamwise bottom vortices." Moreover, the vorticity magnitude cannot represent the occurrence of vortices. The instantaneous iso-surfaces of Q = 0.2 and lambda(2) = -0.2 in the wake are similar to the threshold of Omega = 0.52. In contrast, the Liutex/Rortex method is easier to identify the streamwise bottom vortices than the former two methods.