Axisymmetric critical withdrawal of a rotating fluid

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Axisymmetric Flow, Critical Flow, Ocean Thermal Energy Conversion, Outlet Flow, Rotating Fluids, Cylindrical Bodies, Inviscid Flow, Navier-Stokes Equation, Rossby Regimes, Steady Flow

Scientific paper

The reported studies of flows in a rotating frame have been conducted for two reasons, including a possible application to geophysical problems and the desirability to make experimental observations of a rotating critical flow in the limit of rapid rotation. The problem of the flow of a uniform density fluid which is introduced at one radius and critically withdrawn at another radius in a cylindrical container is formulated and solved. The theoretical results are compared with laboratory measurements. Good agreement between experiment and theory is obtained in all cases except one, which involves a parameter range with an instability to the axisymmetric state. Attention is also given to some laboratory observations of nonaxisymmetric withdrawal and a possible application of the results of the investigation to ocean thermal difference power plants.

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