Long's analytic solution (1956) for flow of a rotating liquid into a hydrodynamic sink at the base of a cylinder is extended to the case where the sink is elevated above the cylinder base. The solution satisfies the nonlinear Euler equations exactly for steady axisymmetric flow. As in Long's study, the solution breaks down for swirl ratios less than a finite critical value. Above the elevated sink, flow is similar to that in Long's solution. Beneath the sink, however, flow is comprised of a weak meridional circulation and an intense nearly-potential vortex.
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12th Conference on Atmospheric and Oceanic Fluid Dynamics