Propagation of Disturbances Locally Imposed on a Vortex Ring

Delay of vortex ring pinchoff by an imposed bulk counterflow

The Kelvin–Benjamin variational principle has been previously used to predict that vortex ring pinchoff can be delayed if the energy of the leading vortex ring is decreased during formation and/or the energy delivered by the vortex generator is increased. We present experimental results in which the former and latter energy effects were simultaneously accomplished by imposing a bulk axisymmetri...

Vortex ring

By rigorous mathematical method, we construct traveling wave solutions with a stationary or traveling vortex ring to the Gross-Pitaevskii equation iût = ε 2 4 û + ( Ṽ − |û| ) û, û ∈ H(R), where the unknown function û is defined as û : R × R → C, ε is a small positive parameter and Ṽ is a smooth potential.

Evolution of a Curved Vortex Filament into a Vortex Ring

The propagation of a vortex ring through multiple liquid interfaces in microgravity

We report experimental observations of the propagation of a vortex ring through two liquid interfaces separating immiscible liquids. The experiments examine the effect of vortex ring strength and the thickness of the middle layer on the evolution of the flow. A wide range of phenomena is observed. In particular, we show that at some conditions the vortex ring enters the top layer without bringi...

Numerical experiments on vortex ring formation

Numerical simulations are used to study the formation of vortex rings that are generated by applying a non-conservative force of long duration, simulating experimental vortex ring generation with large stroke ratio. For sufficiently long-duration forces, we investigate the extent to which properties of the leading vortex ring are invariant to the force distribution. The results confirm the exis...