Can someone explain the difference between a vortex ring and a circular line vortex? Or are they the same?
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A vortex ring has a finite core radius $a$. The circular line vortex is a vortex ring with an infinitesimal core radius $a\to 0$. It is unphysical and only occurs in an inviscid fluid.
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$\begingroup$ Sounds plausible. Do you have a source for this? $\endgroup$– FlorisSep 12, 2014 at 22:11
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$\begingroup$ So is there a distinction between the core radius and the vortex ring radius? $\endgroup$– mdornfe1Sep 13, 2014 at 7:08
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$\begingroup$ @mdornfe1 See this thesis. In particular, Figure 1.3 and also section 4.2. $\endgroup$– lemonSep 13, 2014 at 8:08