Dynamics of Vortex Pair in Radial Flow

Details Dynamics of Vortex Pair in Radial Flow Dynamics of Vortex Pair in Radial Flow

2008-06-25

arxiv.org/abs/0806.4062v1

J.Exp.Theor.Phys. 105, No3 (2007) 542; Zh.Eksp.Teor.Fiz. 132, No3 (2007) 615

Physics

Fluid Dynamics

13 pages, 9 figures

Scientific paper

10.1134/S1063776107090105

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.

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