Abstract
A solution is obtained for the flow of a rotating, frictionless, incompressible fluid due to a strong source or sink at the axis of rotation. The type of motion is controlled by the value of the Rossby number, Ro, a ratio of inertial and Coriolis forces. The solution resembles potential flow if Ro is very large. As Ro decreases the sink draws more and more from the axis of rotation until, at Ro = 0·261, the fluid approaches the sink in a jet centred at the axis and with a radius about half that of the cylinder. No solution is obtained for smaller values of Ro. If a jet is postulated for small values of Ro. it is shown that its radius decreases as the cube root of the flux. Several experimental photographs are shown. They contain some of the features of the theory. The jet type of motion becomes very pronounced for weak sinks.
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