Interactions of a counter-rotating vortex pair at multiple offsets

Thin-tube vortex simulations for sinusoidal instability in a counter-rotating vortex pair

A thin-tube vortex method is developed to investigate the intrinsic instability within a counter-rotating vortex pair system and the e ects from the core size and the wavenumbers (or wavelengths). The numerical accuracy and the advantages of the scheme are theoretically estimated. A nearest-neighbour-image method is employed in this three-dimensional vortex simulation. Agreement with Crow’s ins...

Two-dimensional model problem to explain counter-rotating vortex pair formation in a transverse jet

A two-dimensional model problem is used to study the evolution of the cross section of a transverse jet and the counter-rotating vortex pair CVP . The solution to the model problem shows deformation of the jet similar to that observed in a transverse jet, and also yields a CVP. These phenomena are explained in terms of the acceleration the jet experiences in the direction of the cross-flow, and...

Stable counter-rotating vortex pairs in saturable media

We resolve a controversial issue of the stability of composite vortex solitons in self-focusing saturable nonlinear media. Stable vortex solitons with hidden angular momentum, i.e., composed of counter-rotating beams with topological charges +1 and −1, are found, and their linear-stability region is identified. In contrast, the solitons with explicit vorticity are always unstable against splitt...

Contributions of the wall boundary layer to the formation of the counter-rotating vortex pair in transverse jets

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. 461 Contributions of the wall boundary layer to the formation of the counter-rotating vortex pair in transverse jet...

Self-propulsion of a counter-rotating cylinder pair in a viscous fluid