Interaction of a dipole point vortex with flat boundary

TL;DR

This paper provides exact solutions for the movement of dipole point vortices near flat boundaries and right angles, revealing their unique asymptotic behavior and role in vorticity transfer.

Contribution

It introduces exact solutions for dipole vortex motion near boundaries and highlights their distinct asymptotic behavior compared to regular vortices.

Findings

Dipole vortices always move away from the boundary asymptotically.

Exact solutions for dipole vortex motion near flat boundary and right angle.

Dipole vortices are effective in transferring vorticity from boundary to media.

Abstract

In this work we have found an exact solution for the problem of the movement of a dipole type point vortex in an area of fluid limited by a flat boundary. We also present a solution to the problem of dipole point vortex motion in a right angle. It is shown that unlike a usual point vortex, the dipole vortex always comes away from the boundary asymptotically. This important feature of the dipole vortex allows it to be considered to be one of the efficient mechanisms of vorticity transfer from boundary to media.