Instability of a free vortex for large swirl numbers (Q1878542)

The authors present calculations which reveal the instability of flow in a free vortex for large rotation numbers. The obtained results are compared with the known ones [see \textit{M. Lessen, P. J. Singh} and \textit{F. Paillet}, J. Fluid Mech. 63, No. 4, 753--763 (1974; Zbl 0277.76041); \textit{K. Stewartson} and \textit{S. N. Brown}, J. Fluid Mech. 156, 387--399 (1985; Zbl 0586.76093); \textit{M. Lessen} and \textit{F. Paillet}, J. Fluid Mech. 65, No. 4, 769--779 (1974; Zbl 0287.76032)].