Dynamics of a Vortex Pair in Radial Flow

E. Yu. Bannikova^a,b,*, V. M. Kontorovich^a,b,**, and G. M. Reznik^c, ***

^a Institute of Radio Astronomy, National Academy of Sciences of Ukraine, Kharkov, 61002 Ukraine

^b Karazin National University, Kharkov, 61077 Ukraine

^c Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997 Russia

*e-mail: bannikova@astron.kharkov.ua

**e-mail: vkont@ira.kharkov.ua

***e-mail: greznik11@yahoo.com

Received December 25, 2006

Abstract—The problem of vortex pair motion in two-dimensional radial flow is solved. Under certain condi-
tions for flow parameters, the vortex pair can reverse its motion within a bounded region. The vortex-pair trans-
lational 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 a corotating vortex pair in a quiescent
environment transforms into motion along a logarithmic spiral in radial flow. The problem may have applica-
tions in astrophysics and geophysics.

PACS numbers: 47.32.C-, 95.30.Lz, 98.54.-h

DOI: 10.1134/S1063776107090105

Pleiades Publishing home page | journal home page | top

If you have any problems with this server, contact webmaster.