Numerical Simulation of the Behavior for a Vortex Ring Convecting along the Axis of a Rotating Field

Abstract

This study simulates the behavior of a vortex ring on a field rotating with a constant angular velocity. The vortex ring convects along the rotating axis of the field. The Reynolds number based on the circulation of the vortex ring is 500, and the rotation number defined with the circulation and the angular velocity ranges from 0 to 0.4. The simulation highlights secondary vortex rings at the head and in the rear of the vortex ring, a streamwise longitudinal vortex around the central (rotating) axis, and a swirling flow along the vortex core. The generation of such vortical structures by the Coriolis force is explored. The simulation also discusses the effect of the rotation number on the time-evolution characteristics of the vortex ring.