Potential flow about two counter-rotating vortices approaching a free surface
- 26 April 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 201 (-1) , 259-278
- https://doi.org/10.1017/s0022112089000935
Abstract
The problem of calculating nonlinear two-dimensional free-surface potential flow about a pair of counter-rotating point vortices rising under their own influence towards a free surface is solved numerically. The two vortices are inserted into fluid which is initially at rest. A boundary/integral-equation method is used to obtain free-surface elevations and streamlines about the rising pair of vortices for several vortex strengths. The paths of the two vortices are compared with those of a counter-rotating vortex pair under a rigid wall.Keywords
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