Vortex ring propagation and interactions studies

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.

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...

Vortex–Vortex Interactions in the Winter Stratosphere

This paper examines the interaction of oppositely signed vortices in the compressible (non-Boussinesq) quasigeostrophic system, with a view to understanding vortex interactions in the polar winter stratosphere. A series of simplifying approximations leads to a two-vortex system whose dynamical properties are determined principally by two parameters: the ratio of the circulation of the vortices ...

A Coaxial Vortex Ring Model for Vortex Breakdown

Denis Blackmore Department of Mathematical Sciences and Center for Applied Mathematics and Statistics New Jersey Institute of Technology Newark, NJ 07102-1982 [email protected] ∗ ∗ ∗ Morten Brøns Department of Mathematics Technical University of Denmark DK-2800 Kgs. Lyngby, Denmark [email protected] ∗ ∗ ∗ Arnaud Goullet Department of Mathematical Sciences New Jersey Institute of Technology New...

Evolution of a Curved Vortex Filament into a Vortex Ring