9. Dynamics of Vortices in Near-Wall Flows with Irregular Boundaries

Behavior of stationary vortices in near-wall flows with irregular boundaries is investigated. The vortices were shown to locate in the critical points of flow and to be characterized not only by its strength but by the eigenfrequency that specifies precession of the vortex about the flow critical point along the small trajectory. Due to eigenfrequency, the stationary vortex responds selectively on external periodical perturbations. The last cause low-frequency vortex motion with large amplitudes and when the frequency of external perturbations is to be near the vortex eigenfrequency the vortex moves away from the critical point. So, dependency of the amplitude of perturbed vortex motion from the frequency of external perturbations has the resonance character. The resonant perturbations are shown to cause chaotization of local circulation zones generated by stationary vortices.