Abstract
The generation and subsequent development of the bathtub vortex appearing in a cylindrical vessel are numerically investigated in order to clarify its origin and the mechanism to determine the direction of rotation. The flow is assumed to be perfectly axisymmetric. Water is drained through a drain pipe connected to the bottom of the vessel, while the water level is assumed to be maintained at a constant height with water supply through a permeable part of the side wall. It has long been controversial whether the Coriolis force due to the rotation of the earth plays a significant role in the generation of the bathtub vortex in small vessels such as bathtubs. We identified two kinds of bathtub vortex, one of which appears as a transient phenomenon resulting from concentration of accumulated residual vorticity initially contained in the vessel and the other is formed as a steady state appearing after all transient processes cease, when the vessel is rotating. Although the direction of rotation in the vortex ...
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