Dynamics of Vortex Pair in Radial Flow
Fluid Dynamics
2009-11-13 v1 Astrophysics
Abstract
The problem of vortex pair motion in two-dimensional plane radial flow is solved. Under certain conditions for flow parameters, the vortex pair can reverse its motion within a bounded region. The vortex-pair translational velocity decreases or increases after passing through the source/sink region, depending on whether the flow is diverging or converging, respectively. The rotational motion of two corotating vortexes in a quiescent environment transforms into motion along a logarithmic spiral in the presence of radial flow. The problem may have applications in astrophysics and geophysics.
Cite
@article{arxiv.0806.4062,
title = {Dynamics of Vortex Pair in Radial Flow},
author = {Elena Yu. Bannikova and Victor M. Kontorovich and Gregory M. Reznik},
journal= {arXiv preprint arXiv:0806.4062},
year = {2009}
}
Comments
13 pages, 9 figures