Abstract
The theoretical investigation of stationary vortex ring in an ideal incompressible fluid is carried out. To obtain the stationary solution for vortex ring with uniform vorticity distribution, Fraenkel’s procedure is used. Further, based on finding solution Fraenkel’s procedure is modified to receive stationary vortex ring with isochronous vorticity distribution. The solutions of the uniform and isochronous problems are obtained in the form of an asymptotic expansion with respect to the small parameter characterised by the ratio of the core and ring diameters.
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