Longitudinal and spanwise vortical structures in a turbulent near wake

Abstract

Approximations to the three vorticity components have been simultaneously obtained using a combination of four X wires in the near wake of a circular cylinder with the view of investigating the most likely interrelationship between quasilongitudinal rib-like structures and spanwise vortical structures. The conditional spanwise vorticity variance, based on detections of spanwise structures, shows a strong peak near the detections. This peak suggests a longitudinal extent of 1.0–1.3 cylinder diameters for the spanwise structures. The conditional streamwise vorticity variance has maxima near the saddle points on both sides of the detections, while the conditional lateral vorticity variance is maximum only downstream of the detections. The observations are interpreted in the context of rib-like structures wrapping around consecutive spanwise structures of opposite sign, a scenario which conforms with previous observations based on flow visualizations and direct numerical simulations. The probability density function of vorticity vectors in the plane of mean shear further suggests that the most likely inclination of the rib-like structures to the streamwise direction is about 50°. About 40% of the variances of streamwise and lateral vorticity components is associated with the spanwise vortical structures, apparently resulting from the three dimensionality of these structures; the “remainder” is largely attributed to the rib-like structures. Spanwise structures account for about 60%–80% of the spanwise vorticity variance.