Vortex phenomena in a Water Tank

概要

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In this paper, the flow mechanism of the steady bathtub vortex was studied by measuring velocity distributions on the free surface, and the critical depth of air-entrainment was discussed analytically and experimentally. On the other hand, the velocity distribution in the water tank was not measured in this experiment, so that a theoretical study was performed to know the flow there. The obtained results are mainly as follows : (1) The velocity distribution on the free surface was made clear. (2) To know the decline of peripheral velocity component due to viscosity, the parameter α was introduced, and its value was determined. (3) The critical depth for the origin of air-entraining vortex was given. (4) The flow in a viscous core was analysed and the effect of Reynolds number N on the velocity distribution was made clear.
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