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Vortices And Singularites

Vortex flow always has a singularity in the flow field at the location of the vortex

For example: the flow field of a simple two dimensional vortex might take the form

v(tangential)=a/r;v(radial)=0;
where a is a constant scalar
thus both the direction and magnitude of the velocity vector are undefined at the singular point r=0


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